Cryptography Arithmetic: Algorithms and Hardware Architectures


Cryptography Arithmetic: Algorithms and Hardware Architectures (Advances in Information Security)
by 作者: Amos R. Omondi
Series: Advances in Information Security (Book 77)
Pages: 336 pages
Publisher Finelybook 出版社: ; 1st ed. 2020 edition (January 31,2020)
Language 语言: English
ISBN-10 书号: 3030341410
ISBN-13 书号: 9783030341411


Book Description
Modern cryptosystems,used in numerous applications that require secrecy or privacy – electronic mail,financial transactions,medical-record keeping,government affairs,social media etc. – are based on sophisticated mathematics and algorithms that in implementation involve much computer arithmetic. And for speed it is necessary that the arithmetic be realized at the hardware (chip) level. 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. 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.

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