Riccardo Bernardini

University of Udine

Riccardo Bernardini graduated in Electrical Engineering from the University of Padova, Italy, in 1990. He spent the last year of his Ph.D. at the former AT&T Bell Labs (Murray Hill). After a postdoc period at the Ecole Polytechnique Federale de Lausanne (EPFL), he joined the University of Udine, Italy, as a professor. His research interests are diverse and include multidimensional signal processing, wavelets, filter banks, multimedia coding, robust transmission, bio-engineering, chaotic systems, P2P streaming, and some security-related areas such as random number generation, physical unclonable functions, and embedding random permutations on chips. He has been involved in many projects (both regional and national), sometimes as a partner and sometimes as principal investigator/coordinator.

1books edited

2chapters authored

Latest work with IntechOpen by Riccardo Bernardini

Despite being 2000 years old, cryptography is still a very active field of research. New needs and application fields, like privacy, the Internet of Things (IoT), physically unclonable functions (PUFs), post-quantum cryptography, and quantum key distribution, will keep fueling the work in this field. This book discusses quantum cryptography, lightweight cryptography for IoT, PUFs, cryptanalysis, and more. It provides a snapshot of some recent research results in the field, providing readers with some useful tools and stimulating new ideas and applications for future investigation.

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Cryptography

Edited by Riccardo Bernardini

Chapters authored

Wavelets for Differential Equations and Numerical Operator Calculus

By Riccardo Bernardini

Differential equations are commonplace in engineering, and lots of research have been carried out in developing methods, both efficient and precise, for their numerical solution. Nowadays the numerical practitioner can rely on a wide range of tools for solving differential equations: finite difference methods, finite element methods, meshless, and so on. Wavelets, since their appearance in the early 1990s, have attracted attention for their multiresolution nature that allows them to act as a “mathematical zoom,” a characteristic that promises to describe efficiently the functions involved in the differential equation, especially in the presence of singularities. The objective of this chapter is to introduce the main concepts of wavelets and differential equation, allowing the reader to apply wavelets to the solution of differential equations and in numerical operator calculus.

Part of the book: Wavelet Transform and Complexity

Numerical Problem Encryption for High-Performance Computing Applications

By Riccardo Bernardini

Recent years witnessed the diffusion of cloud-based services. Cloud services have the interesting advantage that they can provide resources (CPU, disk space, etc.) that would be too expensive to deploy and maintain in-house. A major drawback of cloud-based services is the problem of handling private data and—possibly—intellectual property to a third party. With some service (e.g., data storage), cryptography can provide a solution; however, there are some services that are more difficult to protect. An example of such services is the renting of CPU to carry out numerical computation such as differential equation solving. In this chapter, we discuss the problem of encrypting numerical problems so that their solution can be safely outsourced. The idea is to transform (encrypt) a given numerical problem into a different one whose solution can be mapped back to the solution of the original problem if the key used at the encryption stage is known.

Part of the book: Modern Cryptography

Riccardo Bernardini

Latest work with IntechOpen by Riccardo Bernardini

Cryptography

Chapters authored

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