Cryptography Arithmetic : Algorithms and Hardware Architectures /

Modern cryptosystems, used in numerous applications that require secrecy or privacy - electronic mail, financial transactions, medical-record keeping, government affairs, social media et cetera - are based on sophisticated mathematics and algorithms that in implementation involve much computer arith...

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Bibliographic Details
Main Author:	Omondi, Amos R. (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2020.
Edition:	1st ed. 2020.
Series:	Advances in Information Security, 77
Subjects:	Data structures (Computer science). Data encryption (Computer science). Microprocessors. Electronic circuits. Data Structures and Information Theory. Cryptology. Processor Architectures. Circuits and Systems. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

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.