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Cryptography arithmetic = algorithms...

Omondi, Amos R.

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Cryptography arithmetic = algorithms and hardware architectures /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Cryptography arithmetic/ by Amos R. Omondi.
Reminder of title:	algorithms and hardware architectures /
Author:	Omondi, Amos R.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xiv, 336 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Cryptography. -
Online resource:	https://doi.org/10.1007/978-3-030-34142-8
ISBN:	9783030341428

Cryptography arithmetic = algorithms and hardware architectures /
Omondi, Amos R.

Cryptography arithmeticalgorithms and hardware architectures /[electronic resource] :by Amos R. Omondi. - Cham :Springer International Publishing :2020. - xiv, 336 p. :ill., digital ;24 cm. - Advances in information security,v.771568-2633 ;. - Advances in information security ;v.77..

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.

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.

ISBN: 9783030341428

Standard No.: 10.1007/978-3-030-34142-8doiSubjects--Topical Terms:

532586
Cryptography.

LC Class. No.: QA268 / .O56 2020

Dewey Class. No.: 005.824

Cryptography arithmetic = algorithms and hardware architectures /
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245 1 0 $a Cryptography arithmetic $h [electronic resource] : $b algorithms and hardware architectures / $c by Amos R. Omondi.
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490 1 $a Advances in information security, $x 1568-2633 ; $v v.77
505 0 $a 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.
520 $a 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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