Cryptography Arithmetic

Algorithms and Hardware Architectures

AvAmos R. Omondi

Inbunden, Engelska, 2020

Del 77 i serien Advances in Information Security

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Beskrivning

This book is an introduction to the implementation of cryptosystems at that level. The aforementioned arithmetic is mostly the arithmetic of finite fields, and the book is essentially one on the arithmetic of prime fields and binary fields in the context of cryptography.

Produktinformation

Utgivningsdatum:2020-01-31
Mått:155 x 235 x 25 mm
Vikt:694 g
Format:Inbunden
Språk:Engelska
Serie:Advances in Information Security
Antal sidor:336
Förlag:Springer Nature Switzerland AG
ISBN:9783030341411

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Mer om författaren

Amos Omondi received a Ph.D. degree in Computer Science from the University of North Carolina at Chapel Hill. Since then he has had a lengthy academic career, teaching at universities in the USA, Europe, Oceania, and Asia. He is currently a professor in the Department of Computer Science at the State University of New York in Korea, the global campus of Stony Brook University (USA).He is the author of several books, including three on computer arithmetic: Computer Arithmetic Systems (Prentice-Hall, 1994), Residue Number Systems (Imperial College Press, 2007), and Computer-Hardware Evaluation of Mathematical Functions (Imperial College Press, 2015).

Innehållsförteckning

1 Basic Computer Arithmetic.- 2 Mathematical Fundamentals I: Number Theory.- 3 Modular-Arithmetic Cryptosystems.- 4 Modular Reduction.- 5 Modular Addition and Multiplication.- 6 Modular Exponentiation, Inversion, and Division.- 7 Mathematical Fundamentals II: Abstract Algebra.- 8 Elliptic-Curve Basics.- 9 Elliptic-Curve Cryptosystems.- 10 Polynomial-basis arithmetic.- 11 Normal-basis arithmetic.- A Mathematical Proofs.- Index.