Elliptic curve form on a field.
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These books synthesize perspectives of renowned scientists from the world’s most prestigious institutions - from Fukushima Renewable Energy Institute in Japan to Stanford University in the United States, including Columbia University (US), University of Sidney (AU), University of Miami (USA), Cardiff University (UK), and many others.
\\n\\nThis collaboration embodied the true essence of Open Access by simplifying the approach to OA publishing for Academic editors and authors who contributed their research and allowed the new research to be made available free and open to anyone anywhere in the world.
\\n\\nTo celebrate the 50 books published, we have gathered them at one location - just one click away, so that you can easily browse the subjects of your interest, download the content directly, share it or read online.
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IntechOpen and Knowledge Unlatched formed a partnership to support researchers working in engineering sciences by enabling an easier approach to publishing Open Access content. Using the Knowledge Unlatched crowdfunding model to raise the publishing costs through libraries around the world, Open Access Publishing Fee (OAPF) was not required from the authors.
\n\nInitially, the partnership supported engineering research, but it soon grew to include physical and life sciences, attracting more researchers to the advantages of Open Access publishing.
\n\n\n\nThese books synthesize perspectives of renowned scientists from the world’s most prestigious institutions - from Fukushima Renewable Energy Institute in Japan to Stanford University in the United States, including Columbia University (US), University of Sidney (AU), University of Miami (USA), Cardiff University (UK), and many others.
\n\nThis collaboration embodied the true essence of Open Access by simplifying the approach to OA publishing for Academic editors and authors who contributed their research and allowed the new research to be made available free and open to anyone anywhere in the world.
\n\nTo celebrate the 50 books published, we have gathered them at one location - just one click away, so that you can easily browse the subjects of your interest, download the content directly, share it or read online.
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Elliptic curves are especially important in number theory and constitute a major area of current research; for example, they were used in Andrew Wiles’s proof of Fermat’s Last Theorem. They also find applications in elliptic curve cryptography (ECC), integer factorization, classical mechanics in the description of the movement of spinning tops, to produce efficient codes… For these reasons, the subject is well known, presented, and worth exploring.
The purpose of cryptography is to ensure the security of communications and data stored in the presence of adversaries [1, 2, 3]. It offers a set of techniques for providing confidentiality, authenticity, and integrity services. Cryptology, also known as the science of secrecy, combines cryptography and cryptanalysis. While the role of cryptographers is to design, build, and prove cryptosystems, among other things, the goal of cryptanalysis is to “break” these systems. The history of cryptography has long been the history of secret codes and along all previous times, this has affected the fate of men and nations [4]. In fact, until 1970, the main goal of cryptography was to build a signature encryption systems [5, 6], but thanks to cryptanalysis, the army and the black cabinets of diplomats were able to wage their wars in the shadows controlling the communication networks, especially of their enemies [7, 8]. The internet revolution and the increasingly massive use of information in digital form facilitated communications but in counterparty it weakened the security level of information. Indeed, “open” networks create security holes, which allow access to the information. Cryptography, or the art of encrypting messages, a science that sites today in the crossroads of mathematics, computer sciences, and some applied physics, has then become a necessity for today’s civilization to keep its secrets from adversaries. Confusion is often made between cryptography and cryptology, but the difference exists. Cryptology is the “science of secrecy,” and combines two branches on the one hand, cryptography, which makes it possible to encrypt messages, and on the other hand, cryptanalysis, which serves to decrypt them. Our focus in this chapter is to show how some elliptic curves, mathematical objects studied particularly in algebraic geometry [9, 10, 11, 12]. You can give several definitions depending on the person you are talking to. Cryptography indeed used elliptic curves for more than 40 years the appearance of the Diffie-Hellman key exchange protocol and the ElGamal cryptogram [13, 14, 15]. These cryptographic protocols use in particular group structures, for by applying these methods to groups defined by elliptic curves, a new speciality was born at the end of the 1980: ECC, Elliptic Curve Cryptography. Recall that Diffie-Hellman key exchange which is based on the difficulty of the discrete logarithm problem (DLP) [16, 17, 18]. The success of elliptic curves in public key cryptographic systems has then created a new interest in the study of the arithmetic of these geometric objects. The group of points on an elliptical curve is an interesting group in cryptography because there is no known sub-exponential algorithm for sound (DLP) [19, 20, 21]. In general, the DLP is difficult to be solved, but not as much as in a generic group as in the case of finite field. We know sub-exponential algorithms to solve it depending on the size of the group to use, which impose criteria for the PLD to be infeasible. The prime number p which is the characteristic of our base ring must then have at least 1024 bits, which offers a security level similar to the one given by a generic order group of 160 bits. Recall that a generic group for the DLP is a group for which there is no a specific algorithm to solve the DLP [22], so that the only available algorithms are those for all groups.
In [23], Elhassani et al. have built an encryption method based on DLP and Lattice. Boulbot et al. in [24] have studied elliptic curves on a non-local ring to compare these curves on local and non-local rings, while in [25], Sahmoudi et al. have studied these types of curves on a family of finite rings in the authors have introduced a cryptosystem on these types of curves, see [26].
In this chapter,
Let
Recall that the two laws “+” and “.” are naturally defined on
By formula (2), we have
Under the same hypotheses of the corollary (2.1) and by an analogous proof, we have the following corollary:
Let
So,
which means that,
Let
Notation.
Let
We have,
and
Note that in addition, for every
So,
where,
and
We have:
If
then,
where,
and
Suppose that
which contradicts that
Conversely, suppose, for example, that
Let
We denote the projective plane on
In this section, we study the elliptic curves defined on finite local rings
A projective Weierstrass equation on
A affine Weierstrass equation on
where
To an affine (or projective) Weierstrass Eqs. (3) and (4), we associate the following quantities:
If
If
for
for
If
for
Normal form | |||
---|---|---|---|
Elliptic curve form on a field.
In this subsection, we give in projective coordinates the formulas for adding the points on an elliptic curve defined by Eq. (3) on the ring
Using Bosma and Lenstra’s theorem see [32], we can deduce the explicit formulas for the commutative additive law of the group
The objective of this chapter is to study elliptic curves defined by a Weierstrass equation with coefficients in a ring
we denote,
is a surjective group homomorphism.
and
calculated starting from
We have:
Then,
As
so,
This yields
is an injective group homomorphism.
The application
Let
so, using theorem (3.7),
This yields
Thus,
In this subsection, we consider a prime
If
Let
If
So,
We deduce that
for which the following diagram is commutative; (named Diagram(d)).
Let
Then
Hence, there is a unique homomorphism
which makes the diagram(d) commutative.
such that
Let
According to Lemma (4.6), there is a unique homomorphism
which makes the following diagram commutative; (named Diagram(d’)):
Let
The isomorphism
admits an inverse application
Indeed,
Likewise,
So,
As,
We conclude,
We have,
We have
And
According to Haas’ theorem, we have:
so
In this section, we are interested in ECC using elliptic curves over the ring
The discrete logarithm problem that we denote DLP, (Discrete logarithm problem), is a generally difficult problem which depends on the considered group
By using the isomorphism proved given in theorem (4.8), we get the results gathered in the next theorem:
The problem of the discrete logarithm on the elliptic curve
If the problem of the discrete logarithm on
Elliptic curve cryptography (ECC) is public key cryptography, which relies on the use of curves over finite fields. Essentially, there are two families of these curves which are used in cryptography. The first uses elliptic curves on a finite field
This is in fact a difficult problem, whose resolution is exponential.
Recall that Alice and Bob can publicly agree on a common secret (that we describe below).
They choose on a large integer
Alice chooses
Bob chooses
Alice let public
Bob let public
Then, Alice and Bob build their common secret key
Unlike the classic Diffie-Hellman algorithm, we do not ask that
As soon as we have a group
If, Oscar (program) is giving
Let
Key generation algorithm
Bob chooses the private key
Encryption algorithm
Alice Randomly chooses
She calculates
She also calculates
Then, he makes public
To decrypt received message
Now, Oscar encounters the discrete elliptic logarithm problem, because to decipher the message
Let
Then the ring
We consider the elliptic curve on the ring
where
Let
We have:
Coding of elements of
We will give a code to each element
If
where
So, we code
If
If
Example: with the same
The elliptic curve
We consider:
mP | Code for mP | Symbol | |
---|---|---|---|
1 | |||
2 | |||
3 | |||
4 | |||
5 | |||
6 | |||
7 | |||
8 | |||
9 | |||
10 | |||
11 | |||
12 | |||
13 | |||
14 | |||
15 | |||
16 | |||
17 | |||
18 | |||
19 | |||
20 | |||
21 | |||
22 | |||
23 | |||
24 | |||
25 | |||
26 | |||
27 | |||
28 |
Points coding.
The encryption of our message “for the elliptical curve”, is;
Decryption of this message:
is: hello to abdelhakim.
The results obtained are very important from theoretical points of view because to study an elliptic curve on a finite local ring it suffices to study these curves on finite fields, for the applications of these curves they can be applied in cryptography to reinforce security and we can use them in cryptanalysis to solve the PDL on special curves. This results are very imploring and give applications in different fields such as classical mechanics, number theory, cryptology, information theory … and we can quote here:
The generalization of Hass’s theorem, corollary 4.9.
The result of the corollary 4.11, then in [24], we have the result of the Proposition 3.12.
The authors thank professor Karim Mounirh for his correcting typographical, grammatical, spelling, and punctuation errors to ensure the clear and accurate communication.
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\\n\\nThe Author shall obtain in writing all consents necessary for the reproduction of any material in which a third-party right exists, including quotations, photographs and illustrations, in all editions of the Work worldwide for the full term of the above licenses, and shall provide to IntechOpen, at its request, the original copies of such consents for inspection or the photocopies of such consents.
\\n\\nThe Author shall obtain written informed consent for publication from those who might recognize themselves or be identified by others, for example from case reports or photographs.
\\n\\nThe Author shall respect confidentiality during and after the termination of this Agreement. The information contained in all correspondence and documents as part of the publishing activity between IntechOpen and the Author and Co-Authors are confidential and are intended only for the recipients. The contents of any communication may not be disclosed publicly and are not intended for unauthorized use or distribution. Any use, disclosure, copying, or distribution is prohibited and may be unlawful.
\\n\\nAUTHOR'S WARRANTY
\\n\\nThe Author and Co-Authors confirm and warrant that the Work does not and will not breach any applicable law or the rights of any third party and, specifically, that the Work contains no matter that is defamatory or that infringes any literary or proprietary rights, intellectual property rights, or any rights of privacy.
\\n\\nThe Author and Co-Authors confirm that: (i) the Work is their original work and is not copied wholly or substantially from any other work or material or any other source; (ii) the Work has not been formally published in any other peer-reviewed journal or in a book or edited collection, and is not under consideration for any such publication; (iii) Authors and any applicable Co-Authors are qualifying persons under section 154 of the Copyright, Designs and Patents Act 1988; (iv) Authors and any applicable Co-Authors have not assigned, and will not during the term of this Publication Agreement purport to assign, any of the rights granted to IntechOpen under this Publication Agreement; and (v) the rights granted by this Publication Agreement are free from any security interest, option, mortgage, charge or lien.
\\n\\nThe Author and Co-Authors also confirm and warrant that: (i) he/she has the power to enter into this Publication Agreement on his or her own behalf and on behalf of each Co-Author; and (ii) has the necessary rights and/or title in and to the Work to grant IntechOpen, on behalf of themselves and any Co-Author, the rights and licences in this Publication Agreement. If the Work was prepared jointly by the Author and Co-Authors, the Author confirms that: (i) all Co-Authors agree to the submission, license and publication of the Work on the terms of this Publication Agreement; and (ii) the Author has the authority to enter into this biding Publication Agreement on behalf of each Co-Author. The Author shall: (i) ensure each Co-Author complies with all relevant provisions of this Publication Agreement, including those relating to confidentiality, performance and standards, as if a party to this Publication Agreement; and (ii) remain primarily liable for all acts and/or omissions of each Co-Author.
\\n\\nThe Author agrees to indemnify IntechOpen harmless against all liabilities, costs, expenses, damages and losses, as well as all reasonable legal costs and expenses suffered or incurred by IntechOpen arising out of, or in connection with, any breach of the agreed confirmations and warranties. This indemnity shall not apply in a situation in which a claim results from IntechOpen's negligence or willful misconduct.
\\n\\nNothing in this Publication Agreement shall have the effect of excluding or limiting any liability for death or personal injury caused by negligence or any other liability that cannot be excluded or limited by applicable law.
\\n\\nTERMINATION
\\n\\nIntechOpen has the right to terminate this Publication Agreement for quality, program, technical or other reasons with immediate effect, including without limitation (i) if the Author and/or any Co-Author commits a material breach of this Publication Agreement; (ii) if the Author and/or any Co-Author (being a private individual) is the subject of a bankruptcy petition, application or order; or (iii) if the Author and/or any Co-Author (as a corporate entity) commences negotiations with all or any class of its creditors with a view to rescheduling any of its debts, or makes a proposal for, or enters into, any compromise or arrangement with any of its creditors.
\\n\\nIn the event of termination, IntechOpen will notify the Author of the decision in writing.
\\n\\nIntechOpen’s DUTIES AND RIGHTS
\\n\\nUnless prevented from doing so by events beyond its reasonable control, IntechOpen, at its discretion, agrees to publish the Work attributing it to the Author and Co-Authors.
\\n\\nUnless prevented from doing so by events beyond its reasonable control, IntechOpen agrees to provide publishing services which include: managing editing (editorial and publishing process coordination, Author assistance); publishing software technology; language copyediting; typesetting; online publishing; hosting and web management; and abstracting and indexing services.
\\n\\nIntechOpen agrees to offer free online access to readers and use reasonable efforts to promote the Publication to relevant audiences.
\\n\\nIntechOpen is granted the authority to enforce the rights from this Publication Agreement on behalf of the Author and Co-Authors against third parties, for example in cases of plagiarism or copyright infringements. In respect of any such infringement or suspected infringement of the copyright in the Work, IntechOpen shall have absolute discretion in addressing any such infringement that is likely to affect IntechOpen's rights under this Publication Agreement, including issuing and conducting proceedings against the suspected infringer.
\\n\\nIntechOpen has the right to include/use the Author and Co-Authors names and likeness in connection with scientific dissemination, retrieval, archiving, web hosting and promotion and marketing of the Work and has the right to contact the Author and Co-Authors until the Work is publicly available on any platform owned and/or operated by IntechOpen.
\\n\\nMISCELLANEOUS
\\n\\nFurther Assurance: The Author shall ensure that any relevant third party, including any Co-Author, shall execute and deliver whatever further documents or deeds and perform such acts as IntechOpen reasonably requires from time to time for the purpose of giving IntechOpen the full benefit of the provisions of this Publication Agreement.
\\n\\nThird Party Rights: A person who is not a party to this Publication Agreement may not enforce any of its provisions under the Contracts (Rights of Third Parties) Act 1999.
\\n\\nEntire Agreement: This Publication Agreement constitutes the entire agreement between the parties in relation to its subject matter. It replaces all prior agreements, draft agreements, arrangements, collateral warranties, collateral contracts, statements, assurances, representations and undertakings of any nature made by, or on behalf of, the parties, whether oral or written, in relation to that subject matter. Each party acknowledges that in entering into this Publication Agreement it has not relied upon any oral or written statements, collateral or other warranties, assurances, representations or undertakings which were made by or on behalf of the other party in relation to the subject matter of this Publication Agreement at any time before its signature (known as the "Pre-Contractual Statements"), other than those which are set out in this Publication Agreement. Each party hereby waives all rights and remedies which might otherwise be available to it in relation to such Pre-Contractual Statements. Nothing in this clause shall exclude or restrict the liability of either party arising out of any fraudulent pre-contract misrepresentation or concealment.
\\n\\nWaiver: No failure or delay by a party to exercise any right or remedy provided under this Publication Agreement or by law shall constitute a waiver of that or any other right or remedy, nor shall it preclude or restrict the further exercise of that or any other right or remedy. No single or partial exercise of such right or remedy shall preclude or restrict the further exercise of that or any other right or remedy.
\\n\\nVariation: No variation of this Publication Agreement shall have effect unless it is in writing and signed by the parties, or their duly authorized representatives.
\\n\\nSeverance: If any provision, or part-provision, of this Publication Agreement is, or becomes invalid, illegal or unenforceable, it shall be deemed modified to the minimum extent necessary to make it valid, legal and enforceable. If such modification is not possible, the relevant provision or part-provision shall be deemed deleted. Any modification to, or deletion of, a provision or part-provision under this clause shall not affect the validity and enforceability of the rest of this Publication Agreement.
\\n\\nNo partnership: Nothing in this Publication Agreement is intended to, or shall be deemed to, establish or create any partnership or joint venture or the relationship of principal and agent or employer and employee between IntechOpen and the Author or any Co-Author, nor authorize any party to make or enter into any commitments for, or on behalf of, any other party.
\\n\\nGoverning law: This Publication Agreement and any dispute or claim, including non-contractual disputes or claims arising out of, or in connection with it, or its subject matter or formation, shall be governed by and construed in accordance with the law of England and Wales. The parties submit to the exclusive jurisdiction of the English courts to settle any dispute or claim arising out of, or in connection with, this Publication Agreement, including any non-contractual disputes or claims.
\\n\\nPolicy last updated: 2018-09-11
\\n"}]'},components:[{type:"htmlEditorComponent",content:'When submitting a manuscript, the Author is required to accept the Terms and Conditions set out in our Publication Agreement – Monographs/Compacts as follows:
\n\nCORRESPONDING AUTHOR'S GRANT OF RIGHTS
\n\nSubject to the following Article, the Author grants to IntechOpen, during the full term of copyright, and any extensions or renewals of that term, the following:
\n\nThe foregoing licenses shall survive the expiry or termination of this Publication Agreement for any reason.
\n\nThe Author, on his or her own behalf and on behalf of any of the Co-Authors, reserves the following rights in the Work but agrees not to exercise them in such a way as to adversely affect IntechOpen's ability to utilize the full benefit of this Publication Agreement: (i) reprographic rights worldwide, other than those which subsist in the typographical arrangement of the Work as published by IntechOpen; and (ii) public lending rights arising under the Public Lending Right Act 1979, as amended from time to time, and any similar rights arising in any part of the world.
\n\nThe Author, and any Co-Author, confirms that they are, and will remain, a member of any applicable licensing and collecting society and any successor to that body responsible for administering royalties for the reprographic reproduction of copyright works.
\n\nSubject to the license granted above, copyright in the Work and all versions of it created during IntechOpen's editing process, including all published versions, is retained by the Author and any Co-Authors.
\n\nSubject to the license granted above, the Author and Co-Authors retain patent, trademark and other intellectual property rights to the Work.
\n\nAll rights granted to IntechOpen in this Article are assignable, sublicensable or otherwise transferrable to third parties without the specific approval of the Author or Co-Authors.
\n\nThe Author, on his/her own behalf and on behalf of the Co-Authors, will not assert any rights under the Copyright, Designs and Patents Act 1988 to object to derogatory treatment of the Work as a consequence of IntechOpen's changes to the Work arising from the translation of it, corrections and edits for house style, removal of problematic material and other reasonable edits as determined by IntechOpen.
\n\nAUTHOR'S DUTIES
\n\nWhen distributing or re-publishing the Work, the Author agrees to credit the Monograph/Compacts as the source of first publication, as well as IntechOpen. The Author guarantees that Co-Authors will also credit the Monograph/Compacts as the source of first publication, as well as IntechOpen, when they are distributing or re-publishing the Work.
\n\nThe Author agrees to:
\n\nThe Author will be held responsible for the payment of the agreed Open Access Publishing Fee before the completion of the project (Monograph/Compacts publication).
\n\nAll payments shall be due 30 days from the date of issue of the invoice. The Author or whoever is paying on behalf of the Author and Co-Authors will bear all banking and similar charges incurred.
\n\nThe Author shall obtain in writing all consents necessary for the reproduction of any material in which a third-party right exists, including quotations, photographs and illustrations, in all editions of the Work worldwide for the full term of the above licenses, and shall provide to IntechOpen, at its request, the original copies of such consents for inspection or the photocopies of such consents.
\n\nThe Author shall obtain written informed consent for publication from those who might recognize themselves or be identified by others, for example from case reports or photographs.
\n\nThe Author shall respect confidentiality during and after the termination of this Agreement. The information contained in all correspondence and documents as part of the publishing activity between IntechOpen and the Author and Co-Authors are confidential and are intended only for the recipients. The contents of any communication may not be disclosed publicly and are not intended for unauthorized use or distribution. Any use, disclosure, copying, or distribution is prohibited and may be unlawful.
\n\nAUTHOR'S WARRANTY
\n\nThe Author and Co-Authors confirm and warrant that the Work does not and will not breach any applicable law or the rights of any third party and, specifically, that the Work contains no matter that is defamatory or that infringes any literary or proprietary rights, intellectual property rights, or any rights of privacy.
\n\nThe Author and Co-Authors confirm that: (i) the Work is their original work and is not copied wholly or substantially from any other work or material or any other source; (ii) the Work has not been formally published in any other peer-reviewed journal or in a book or edited collection, and is not under consideration for any such publication; (iii) Authors and any applicable Co-Authors are qualifying persons under section 154 of the Copyright, Designs and Patents Act 1988; (iv) Authors and any applicable Co-Authors have not assigned, and will not during the term of this Publication Agreement purport to assign, any of the rights granted to IntechOpen under this Publication Agreement; and (v) the rights granted by this Publication Agreement are free from any security interest, option, mortgage, charge or lien.
\n\nThe Author and Co-Authors also confirm and warrant that: (i) he/she has the power to enter into this Publication Agreement on his or her own behalf and on behalf of each Co-Author; and (ii) has the necessary rights and/or title in and to the Work to grant IntechOpen, on behalf of themselves and any Co-Author, the rights and licences in this Publication Agreement. If the Work was prepared jointly by the Author and Co-Authors, the Author confirms that: (i) all Co-Authors agree to the submission, license and publication of the Work on the terms of this Publication Agreement; and (ii) the Author has the authority to enter into this biding Publication Agreement on behalf of each Co-Author. The Author shall: (i) ensure each Co-Author complies with all relevant provisions of this Publication Agreement, including those relating to confidentiality, performance and standards, as if a party to this Publication Agreement; and (ii) remain primarily liable for all acts and/or omissions of each Co-Author.
\n\nThe Author agrees to indemnify IntechOpen harmless against all liabilities, costs, expenses, damages and losses, as well as all reasonable legal costs and expenses suffered or incurred by IntechOpen arising out of, or in connection with, any breach of the agreed confirmations and warranties. This indemnity shall not apply in a situation in which a claim results from IntechOpen's negligence or willful misconduct.
\n\nNothing in this Publication Agreement shall have the effect of excluding or limiting any liability for death or personal injury caused by negligence or any other liability that cannot be excluded or limited by applicable law.
\n\nTERMINATION
\n\nIntechOpen has the right to terminate this Publication Agreement for quality, program, technical or other reasons with immediate effect, including without limitation (i) if the Author and/or any Co-Author commits a material breach of this Publication Agreement; (ii) if the Author and/or any Co-Author (being a private individual) is the subject of a bankruptcy petition, application or order; or (iii) if the Author and/or any Co-Author (as a corporate entity) commences negotiations with all or any class of its creditors with a view to rescheduling any of its debts, or makes a proposal for, or enters into, any compromise or arrangement with any of its creditors.
\n\nIn the event of termination, IntechOpen will notify the Author of the decision in writing.
\n\nIntechOpen’s DUTIES AND RIGHTS
\n\nUnless prevented from doing so by events beyond its reasonable control, IntechOpen, at its discretion, agrees to publish the Work attributing it to the Author and Co-Authors.
\n\nUnless prevented from doing so by events beyond its reasonable control, IntechOpen agrees to provide publishing services which include: managing editing (editorial and publishing process coordination, Author assistance); publishing software technology; language copyediting; typesetting; online publishing; hosting and web management; and abstracting and indexing services.
\n\nIntechOpen agrees to offer free online access to readers and use reasonable efforts to promote the Publication to relevant audiences.
\n\nIntechOpen is granted the authority to enforce the rights from this Publication Agreement on behalf of the Author and Co-Authors against third parties, for example in cases of plagiarism or copyright infringements. In respect of any such infringement or suspected infringement of the copyright in the Work, IntechOpen shall have absolute discretion in addressing any such infringement that is likely to affect IntechOpen's rights under this Publication Agreement, including issuing and conducting proceedings against the suspected infringer.
\n\nIntechOpen has the right to include/use the Author and Co-Authors names and likeness in connection with scientific dissemination, retrieval, archiving, web hosting and promotion and marketing of the Work and has the right to contact the Author and Co-Authors until the Work is publicly available on any platform owned and/or operated by IntechOpen.
\n\nMISCELLANEOUS
\n\nFurther Assurance: The Author shall ensure that any relevant third party, including any Co-Author, shall execute and deliver whatever further documents or deeds and perform such acts as IntechOpen reasonably requires from time to time for the purpose of giving IntechOpen the full benefit of the provisions of this Publication Agreement.
\n\nThird Party Rights: A person who is not a party to this Publication Agreement may not enforce any of its provisions under the Contracts (Rights of Third Parties) Act 1999.
\n\nEntire Agreement: This Publication Agreement constitutes the entire agreement between the parties in relation to its subject matter. It replaces all prior agreements, draft agreements, arrangements, collateral warranties, collateral contracts, statements, assurances, representations and undertakings of any nature made by, or on behalf of, the parties, whether oral or written, in relation to that subject matter. Each party acknowledges that in entering into this Publication Agreement it has not relied upon any oral or written statements, collateral or other warranties, assurances, representations or undertakings which were made by or on behalf of the other party in relation to the subject matter of this Publication Agreement at any time before its signature (known as the "Pre-Contractual Statements"), other than those which are set out in this Publication Agreement. Each party hereby waives all rights and remedies which might otherwise be available to it in relation to such Pre-Contractual Statements. Nothing in this clause shall exclude or restrict the liability of either party arising out of any fraudulent pre-contract misrepresentation or concealment.
\n\nWaiver: No failure or delay by a party to exercise any right or remedy provided under this Publication Agreement or by law shall constitute a waiver of that or any other right or remedy, nor shall it preclude or restrict the further exercise of that or any other right or remedy. No single or partial exercise of such right or remedy shall preclude or restrict the further exercise of that or any other right or remedy.
\n\nVariation: No variation of this Publication Agreement shall have effect unless it is in writing and signed by the parties, or their duly authorized representatives.
\n\nSeverance: If any provision, or part-provision, of this Publication Agreement is, or becomes invalid, illegal or unenforceable, it shall be deemed modified to the minimum extent necessary to make it valid, legal and enforceable. If such modification is not possible, the relevant provision or part-provision shall be deemed deleted. Any modification to, or deletion of, a provision or part-provision under this clause shall not affect the validity and enforceability of the rest of this Publication Agreement.
\n\nNo partnership: Nothing in this Publication Agreement is intended to, or shall be deemed to, establish or create any partnership or joint venture or the relationship of principal and agent or employer and employee between IntechOpen and the Author or any Co-Author, nor authorize any party to make or enter into any commitments for, or on behalf of, any other party.
\n\nGoverning law: This Publication Agreement and any dispute or claim, including non-contractual disputes or claims arising out of, or in connection with it, or its subject matter or formation, shall be governed by and construed in accordance with the law of England and Wales. The parties submit to the exclusive jurisdiction of the English courts to settle any dispute or claim arising out of, or in connection with, this Publication Agreement, including any non-contractual disputes or claims.
\n\nPolicy last updated: 2018-09-11
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On September, 29th 2006 he has won a post PhD fellowship from the university of Bologna (from October 2006 to October 2008), at the competitive examination he was ranked first in the industrial engineering area. He extensively served as referee for several international journals. He is author/coauthor of more than 100 research papers. He has been involved in some projects supported by MURST and European Community. 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Delac received his B.Sc.E.E. degree in 2003 and is currentlypursuing a Ph.D. degree at the University of Zagreb, Faculty of Electrical Engineering andComputing. His current research interests are digital image analysis, pattern recognition andbiometrics.",institutionString:null,institution:{name:"University of Zagreb",country:{name:"Croatia"}}},{id:"557",title:"Dr.",name:"Andon",middleName:"Venelinov",surname:"Topalov",slug:"andon-topalov",fullName:"Andon Topalov",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/557/images/1927_n.jpg",biography:"Dr. Andon V. Topalov received the MSc degree in Control Engineering from the Faculty of Information Systems, Technologies, and Automation at Moscow State University of Civil Engineering (MGGU) in 1979. He then received his PhD degree in Control Engineering from the Department of Automation and Remote Control at Moscow State Mining University (MGSU), Moscow, in 1984. From 1985 to 1986, he was a Research Fellow in the Research Institute for Electronic Equipment, ZZU AD, Plovdiv, Bulgaria. In 1986, he joined the Department of Control Systems, Technical University of Sofia at the Plovdiv campus, where he is presently a Full Professor. He has held long-term visiting Professor/Scholar positions at various institutions in South Korea, Turkey, Mexico, Greece, Belgium, UK, and Germany. And he has coauthored one book and authored or coauthored more than 80 research papers in conference proceedings and journals. 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Hoffmann, N. Fainer, M. Kosinova, O. Baake and W. Ensinger",authors:[{id:"56722",title:"Dr.",name:"Peter",middleName:null,surname:"Hoffmann",slug:"peter-hoffmann",fullName:"Peter Hoffmann"},{id:"56726",title:"Dr.",name:"Marina",middleName:null,surname:"Kosinova",slug:"marina-kosinova",fullName:"Marina Kosinova"},{id:"56727",title:"Prof.",name:"Wolfgang",middleName:null,surname:"Ensinger",slug:"wolfgang-ensinger",fullName:"Wolfgang Ensinger"}]},{id:"60792",doi:"10.5772/intechopen.76062",title:"TCAD Device Modelling and Simulation of Wide Bandgap Power Semiconductors",slug:"tcad-device-modelling-and-simulation-of-wide-bandgap-power-semiconductors",totalDownloads:2116,totalCrossrefCites:15,totalDimensionsCites:15,abstract:"Technology computer-aided Design (TCAD) is essential for devices technology development, including wide bandgap power semiconductors. However, most TCAD tools were originally developed for silicon and their performance and accuracy for wide bandgap semiconductors is contentious. This chapter will deal with TCAD device modelling of wide bandgap power semiconductors. In particular, modelling and simulating 3C- and 4H-Silicon Carbide (SiC), Gallium Nitride (GaN) and Diamond devices are examined. The challenges associated with modelling the material and device physics are analyzed in detail. It also includes convergence issues and accuracy of predicted performance. Modelling and simulating defects, traps and the effect of these traps on the characteristics are also discussed.",book:{id:"6625",slug:"disruptive-wide-bandgap-semiconductors-related-technologies-and-their-applications",title:"Disruptive Wide Bandgap Semiconductors, Related Technologies, and Their Applications",fullTitle:"Disruptive Wide Bandgap Semiconductors, Related Technologies, and Their Applications"},signatures:"Neophytos Lophitis, Anastasios Arvanitopoulos, Samuel Perkins and\nMarina Antoniou",authors:[{id:"236488",title:"Dr.",name:"Neophytos",middleName:null,surname:"Lophitis",slug:"neophytos-lophitis",fullName:"Neophytos Lophitis"},{id:"247344",title:"Dr.",name:"Marina",middleName:null,surname:"Antoniou",slug:"marina-antoniou",fullName:"Marina Antoniou"},{id:"247347",title:"Mr.",name:"Anastasios",middleName:null,surname:"Arvanitopoulos",slug:"anastasios-arvanitopoulos",fullName:"Anastasios Arvanitopoulos"},{id:"247349",title:"Mr.",name:"Samuel",middleName:null,surname:"Perkins",slug:"samuel-perkins",fullName:"Samuel Perkins"}]},{id:"21151",doi:"10.5772/20332",title:"Recent Developments on Silicon Carbide Thin Films for Piezoresistive Sensors Applications",slug:"recent-developments-on-silicon-carbide-thin-films-for-piezoresistive-sensors-applications",totalDownloads:4508,totalCrossrefCites:0,totalDimensionsCites:11,abstract:null,book:{id:"326",slug:"silicon-carbide-materials-processing-and-applications-in-electronic-devices",title:"Silicon Carbide",fullTitle:"Silicon Carbide - Materials, Processing and Applications in Electronic Devices"},signatures:"Mariana Amorim Fraga, Rodrigo Sávio Pessoa, Homero Santiago Maciel and Marcos Massi",authors:[{id:"38456",title:"Dr.",name:"Mariana",middleName:null,surname:"Amorim Fraga",slug:"mariana-amorim-fraga",fullName:"Mariana Amorim Fraga"},{id:"53494",title:"Dr.",name:"Rodrigo",middleName:"Savio",surname:"Pessoa",slug:"rodrigo-pessoa",fullName:"Rodrigo Pessoa"},{id:"91253",title:"Dr.",name:"Homero",middleName:"Santiago",surname:"Maciel",slug:"homero-maciel",fullName:"Homero Maciel"},{id:"91254",title:"Dr.",name:"Marcos",middleName:null,surname:"Massi",slug:"marcos-massi",fullName:"Marcos Massi"}]},{id:"21143",doi:"10.5772/24347",title:"SiC, from Amorphous to Nanosized Materials, the Exemple of SiC Fibres Issued of Polymer Precursors",slug:"sic-from-amorphous-to-nanosized-materials-the-exemple-of-sic-fibres-issued-of-polymer-precursors",totalDownloads:3472,totalCrossrefCites:2,totalDimensionsCites:10,abstract:null,book:{id:"326",slug:"silicon-carbide-materials-processing-and-applications-in-electronic-devices",title:"Silicon Carbide",fullTitle:"Silicon Carbide - Materials, Processing and Applications in Electronic Devices"},signatures:"Philippe Colomban",authors:[{id:"14026",title:"Dr.",name:"Philippe",middleName:null,surname:"Colomban",slug:"philippe-colomban",fullName:"Philippe Colomban"}]},{id:"60400",doi:"10.5772/intechopen.75999",title:"Clamping Force Distribution within Press Pack IGBTs",slug:"clamping-force-distribution-within-press-pack-igbts",totalDownloads:1036,totalCrossrefCites:3,totalDimensionsCites:9,abstract:"Press pack insulated gated bipolar transistors (PP IGBTs) have been gradually used in the high-voltage and high-power-density applications, such as the power system and electric locomotive, with its advantages of double-sided cooling, higher power density, and easy to connect in series compared with traditional wire-bonded power IGBT modules. However, the clamping force is quite important for PP IGBTs because too much clamping fore will cause mechanical damage to the silicon chips and too little clamping force will increase the junction temperature of the silicon chips due to the increased thermal contact resistance. And eventually it leads to thermal damage. Furthermore, the clamping force distribution within PP IGBTs is affected by many factors, and they can be divided into the internal and external factors. The finite element analysis model of the PP IGBTs is established based on the theory of elastic mechanics to obtain the influence of the affect factors, including the external clamping modes, spring design, thermal stress, the machining accuracy, and so on. The contribution of those affect factors to the clamping force distribution is ranked, and this can be a guideline not only for users but also for the manufacturers.",book:{id:"6695",slug:"design-simulation-and-construction-of-field-effect-transistors",title:"Design, Simulation and Construction of Field Effect Transistors",fullTitle:"Design, Simulation and Construction of Field Effect Transistors"},signatures:"Erping Deng, Zhibin Zhao, Jinyuan Li and Yongzhang Huang",authors:[{id:"234852",title:"Dr.",name:"Erping",middleName:null,surname:"Deng",slug:"erping-deng",fullName:"Erping Deng"}]}],mostDownloadedChaptersLast30Days:[{id:"60792",title:"TCAD Device Modelling and Simulation of Wide Bandgap Power Semiconductors",slug:"tcad-device-modelling-and-simulation-of-wide-bandgap-power-semiconductors",totalDownloads:2116,totalCrossrefCites:15,totalDimensionsCites:15,abstract:"Technology computer-aided Design (TCAD) is essential for devices technology development, including wide bandgap power semiconductors. However, most TCAD tools were originally developed for silicon and their performance and accuracy for wide bandgap semiconductors is contentious. This chapter will deal with TCAD device modelling of wide bandgap power semiconductors. In particular, modelling and simulating 3C- and 4H-Silicon Carbide (SiC), Gallium Nitride (GaN) and Diamond devices are examined. The challenges associated with modelling the material and device physics are analyzed in detail. It also includes convergence issues and accuracy of predicted performance. Modelling and simulating defects, traps and the effect of these traps on the characteristics are also discussed.",book:{id:"6625",slug:"disruptive-wide-bandgap-semiconductors-related-technologies-and-their-applications",title:"Disruptive Wide Bandgap Semiconductors, Related Technologies, and Their Applications",fullTitle:"Disruptive Wide Bandgap Semiconductors, Related Technologies, and Their Applications"},signatures:"Neophytos Lophitis, Anastasios Arvanitopoulos, Samuel Perkins and\nMarina Antoniou",authors:[{id:"236488",title:"Dr.",name:"Neophytos",middleName:null,surname:"Lophitis",slug:"neophytos-lophitis",fullName:"Neophytos Lophitis"},{id:"247344",title:"Dr.",name:"Marina",middleName:null,surname:"Antoniou",slug:"marina-antoniou",fullName:"Marina Antoniou"},{id:"247347",title:"Mr.",name:"Anastasios",middleName:null,surname:"Arvanitopoulos",slug:"anastasios-arvanitopoulos",fullName:"Anastasios Arvanitopoulos"},{id:"247349",title:"Mr.",name:"Samuel",middleName:null,surname:"Perkins",slug:"samuel-perkins",fullName:"Samuel Perkins"}]},{id:"61629",title:"GaN-Based Schottky Diode",slug:"gan-based-schottky-diode",totalDownloads:1662,totalCrossrefCites:2,totalDimensionsCites:2,abstract:"Schottky diode, also known as Schottky barrier diode (SBD), fabricated on GaN and related III-Nitride materials has been researched intensively and extensively for the past two decades. This chapter reviews the property of GaN material, the advantage of GaN-based SBD, and the Schottky contact to GaN including current transporation theory, Schottky material selection, contact quality and thermal stability. The chapter also discusses about the GaN lateral, quasi-vertical and vertical SBDs, and AlGaN/GaN field effect SBDs: the evolution of the epitaxial structure, processing techniques and device structure. The chapter closes with challenges ahead and gives an outlook on the future development of the GaN SBDs.",book:{id:"6625",slug:"disruptive-wide-bandgap-semiconductors-related-technologies-and-their-applications",title:"Disruptive Wide Bandgap Semiconductors, Related Technologies, and Their Applications",fullTitle:"Disruptive Wide Bandgap Semiconductors, Related Technologies, and Their Applications"},signatures:"Yaqi Wang",authors:[{id:"237104",title:"Dr.",name:"Yaqi",middleName:null,surname:"Wang",slug:"yaqi-wang",fullName:"Yaqi Wang"}]},{id:"53537",title:"FPGA-Based Software-Defined Radio and Its Real-Time Implementation Using NI-USRP",slug:"fpga-based-software-defined-radio-and-its-real-time-implementation-using-ni-usrp",totalDownloads:2796,totalCrossrefCites:0,totalDimensionsCites:0,abstract:"In this chapter, we propose a novel design of scalable and real-time data acquisition software architecture for software-defined radio (SDR) using universal software radio peripheral (USRP). The software has been designed and tested in multi-thread model, using LabVIEW, which guarantees real-time performance and efficiency. With the help of this design, we have been able to improve the stability of the system besides providing a reconfigurable and flexible architecture. Wireless transfer of sensitive data using communication is not a very safe option. In this chapter, we aim to provide a safe and private wireless transmission between two terminals using the SDR approach and verifying the results in real-world environment with the use of USRP. The novel design being presented here can be used to transfer (random data, text or an image) encoded with different forward error correction (FEC) codes, which is then verified at the receiving terminal and then decoded accordingly to produce the desired result.",book:{id:"5597",slug:"field-programmable-gate-array",title:"Field",fullTitle:"Field - Programmable Gate Array"},signatures:"Nikhil Marriwala, Om. Prakash. Sahu and Anil Vohra",authors:[{id:"192912",title:"Associate Prof.",name:"Nikhil",middleName:null,surname:"Marriwala",slug:"nikhil-marriwala",fullName:"Nikhil Marriwala"},{id:"198652",title:"Prof.",name:"O.P",middleName:null,surname:"Sahu",slug:"o.p-sahu",fullName:"O.P Sahu"},{id:"198654",title:"Prof.",name:"Anil",middleName:null,surname:"Vohra",slug:"anil-vohra",fullName:"Anil Vohra"}]},{id:"61186",title:"Graphene Field-Effect Transistor for Terahertz Modulation",slug:"graphene-field-effect-transistor-for-terahertz-modulation",totalDownloads:1286,totalCrossrefCites:2,totalDimensionsCites:3,abstract:"The real-world applications of terahertz (THz) technology necessitate versatile adaptive optical components, for example, modulators. In this chapter, we begin with a brief review on different techniques for THz modulation. After that, we introduce the extraordinary features of graphene along with its advantages and disadvantages as channel materials for field effect transistor (FET). We then discuss two types of graphene FET-based THz modulators, one is rigid and another is flexible. The feasibility of the high-quality THz modulators with different graphene FET structures has been successfully demonstrated. It is observed that by tuning the carrier concentration of graphene by electrical gating, the THz modulation can be obtained with relatively large modulation depth, broad width band, and moderate speed. This chapter helps the reader in obtaining guidelines for the proper choice of a specific structure for THz modulator with graphene FET.",book:{id:"6695",slug:"design-simulation-and-construction-of-field-effect-transistors",title:"Design, Simulation and Construction of Field Effect Transistors",fullTitle:"Design, Simulation and Construction of Field Effect Transistors"},signatures:"Qi-Ye Wen, Yu-Lian He, Jing-Bo Liu, Qi Mao, Qing-Hui Yang, Zhi\nChen and Huai-Wu Zhang",authors:[{id:"235512",title:"Prof.",name:"Qiye",middleName:null,surname:"Wen",slug:"qiye-wen",fullName:"Qiye Wen"},{id:"247833",title:"Ms.",name:"Yu-Lian",middleName:null,surname:"He",slug:"yu-lian-he",fullName:"Yu-Lian He"},{id:"247834",title:"Prof.",name:"Zhi",middleName:null,surname:"Chen",slug:"zhi-chen",fullName:"Zhi Chen"},{id:"247837",title:"Prof.",name:"Qing-Hui",middleName:null,surname:"Yang",slug:"qing-hui-yang",fullName:"Qing-Hui Yang"},{id:"247839",title:"Prof.",name:"Huai-Wu",middleName:null,surname:"Zhang",slug:"huai-wu-zhang",fullName:"Huai-Wu Zhang"}]},{id:"53730",title:"High‐Speed Deterministic‐Latency Serial IO",slug:"high-speed-deterministic-latency-serial-io",totalDownloads:1734,totalCrossrefCites:0,totalDimensionsCites:0,abstract:"In digital systems, serial IO at speeds in the range from 1 to 20 Gbps is realized by means of dedicated transceivers, named serializer-deserializers (SerDeses). In general, due to their internal architecture, the data transfer delay, or the latency, may vary after a reset of the device. On the other hand, some applications, such as high-speed transfer protocols for analog-to-digital and digital-to-analog converters, trigger and data acquisition systems, clock distribution, synchronization and control of radio equipment need this delay to be constant at each reset. In this chapter, we focus on a serial IO architecture based on configurable transceivers embedded in field-programmable gate arrays (FPGAs). We will show how it is possible to achieve deterministic-latency operation in a line-code-independent way. 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She has been a faculty member at the University of California, Riverside in the School of Education since 2016. Her research focuses on translational studies to explore the reward system in ASD, as well as how anxiety contributes to social challenges in ASD. She also investigates how behavioral interventions affect neural activity, behavior, and school performance in children with ASD. She is also involved in the diagnosis of children with ASD and is a licensed clinical psychologist in California. 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After graduating from TED Ankara College in 1994, she attended to Gazi University, Faculty of Dentistry in Ankara. She completed her PhD in orthodontic education at Gazi University between 1999-2005. Dr. Işık Aslan stayed at the Providence Hospital Craniofacial Institude and Reconstructive Surgery in Michigan, USA for three months as an observer. She worked as a specialist doctor at Gazi University, Dentistry Faculty, Department of Orthodontics between 2005-2014. She was appointed as associate professor in January, 2014 and as professor in 2021. Dr. Işık Aslan still works as an instructor at the same faculty. She has published a total of 35 articles, 10 book chapters, 39 conference proceedings both internationally and nationally. Also she was the academic editor of the international book 'Current Advances in Orthodontics'. She is a member of the Turkish Orthodontic Society and Turkish Cleft Lip and Palate Society. She is married and has 2 children. 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Having been personally trained by Dr. Robert Kerstein on this method, Dr. Gözler has been lecturing on the T-Scan Occlusion Analysis Method in conferences both in Turkey and abroad. Dr. Gözler has various articles and presentations on Digital Occlusion Analysis methods. 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Dr. Al Ostwani is an assistant professor and faculty member at IUST University since 2014. \nDuring his academic experience, he has received several awards including the scientific research award from the Union of Arab Universities, the Syrian gold medal and the international gold medal for invention and creativity. Dr. Al Ostwani is a Member of the International Association of Dental Traumatology and the Syrian Society for Research and Preventive Dentistry since 2017. He is also a Member of the Reviewer Board of International Journal of Dental Medicine (IJDM), and the Indian Journal of Conservative and Endodontics since 2016.",institutionString:"International University for Science and Technology.",institution:{name:"Islamic University of Science and Technology",institutionURL:null,country:{name:"India"}}}]}]},openForSubmissionBooks:{paginationCount:1,paginationItems:[{id:"11478",title:"Recent Advances in the Study of Dyslexia",coverURL:"https://cdn.intechopen.com/books/images_new/11478.jpg",hash:"26764a18c6b776698823e0e1c3022d2f",secondStepPassed:!1,currentStepOfPublishingProcess:2,submissionDeadline:"June 30th 2022",isOpenForSubmission:!0,editors:[{id:"294281",title:"Prof.",name:"Jonathan",surname:"Glazzard",slug:"jonathan-glazzard",fullName:"Jonathan Glazzard"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null}]},onlineFirstChapters:{},subseriesFiltersForOFChapters:[],publishedBooks:{paginationCount:31,paginationItems:[{type:"book",id:"11332",title:"Essential Oils",subtitle:"Advances in Extractions and Biological Applications",coverURL:"https://cdn.intechopen.com/books/images_new/11332.jpg",slug:"essential-oils-advances-in-extractions-and-biological-applications",publishedDate:"June 23rd 2022",editedByType:"Edited by",bookSignature:"Mozaniel Santana de Oliveira and Eloisa Helena de Aguiar Andrade",hash:"742e6cae3a35686f975edc8d7f9afa94",volumeInSeries:32,fullTitle:"Essential Oils - 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