Restricted Congruences in Computing

Khodakhast Bibak

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English

CRC Press
22 April 2022

Applied mathematics; Electrical engineering; Environmental science, engineering & technology; Computing: general; Image processing

Congruences are ubiquitous in computer science, engineering, mathematics, and related areas. Developing techniques for finding (the number of) solutions of congruences is an important problem. But there are many scenarios in which we are interested in only a subset of the solutions; in other words, there are some restrictions. What do we know about these restricted congruences, their solutions, and applications?

This book introduces the tools that are needed when working on restricted congruences and then systematically studies a variety of restricted congruences. Restricted Congruences in Computing defines several types of restricted congruence, obtains explicit formulae for the number of their solutions using a wide range of tools and techniques, and discusses their applications in cryptography, information security, information theory, coding theory, string theory, quantum field theory, parallel computing, artificial intelligence, computational biology, discrete mathematics, number theory, and more.

This is the first book devoted to restricted congruences and their applications. It will be of interest to graduate students and researchers across computer science, electrical engineering, and mathematics.

By: Khodakhast Bibak
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 216mm, Width: 138mm,
Weight: 213g
ISBN: 9780367497316
ISBN 10: 036749731X
Pages: 145
Publication Date: 22 April 2022
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Khodakhast Bibak is an Assistant Professor at the Department of Computer Science and Software Engineering at Miami University. He was a Postdoctoral Research Associate at the University of Illinois, Urbana-Champaign, and a Postdoctoral Research Fellow at the University of Victoria, where he also received his PhD (2017). Dr. Bibak previously studied at the University of Waterloo, where he was also a member of the Centre for Applied Cryptographic Research (CACR).