Overview
- Includes numerous, easy-to-follow examples of numerical computations, as well as simple and clear diagrams with descriptions of hardware
- Describes arithmetic algorithms and corresponding hardware architectures
- Covers various cryptosystems to provide a context for the arithmetic
Part of the book series: Advances in Information Security (ADIS, volume 77)
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Table of contents (11 chapters)
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Front Matter
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Part I
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Front Matter
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Back Matter
Keywords
About this book
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. The book has three main parts. The first part is on generic algorithms and hardware architectures for the basic arithmetic operations: addition, subtraction, multiplication, and division. The second part is on the arithmetic of prime fields. And the third part is on the arithmetic of binary fields. The mathematical fundamentals necessary for the latter two parts are included, as are descriptions of various types of cryptosystems, to provide appropriate context.
This book is intended for advanced-level students in Computer Science, Computer Engineering, and Electrical and Electronic Engineering. Practitioners too will find it useful, as will those with a general interest in "hard" applications of mathematics.
Authors and Affiliations
About the author
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).
Bibliographic Information
Book Title: Cryptography Arithmetic
Book Subtitle: Algorithms and Hardware Architectures
Authors: Amos R. Omondi
Series Title: Advances in Information Security
DOI: https://doi.org/10.1007/978-3-030-34142-8
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-34141-1Published: 31 January 2020
Softcover ISBN: 978-3-030-34144-2Published: 31 January 2021
eBook ISBN: 978-3-030-34142-8Published: 30 January 2020
Series ISSN: 1568-2633
Series E-ISSN: 2512-2193
Edition Number: 1
Number of Pages: XIV, 336
Number of Illustrations: 73 b/w illustrations
Topics: Data Structures and Information Theory, Cryptology, Processor Architectures, Circuits and Systems