Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Omondi, Amos R. (1959-....)
Titre(s) : Cryptography arithmetic [Texte électronique] : algorithms and hardware architectures / Amos R. Omondi
Publication : Cham : Springer, copyright 2020
Description matérielle : 1 ressource dématérialisée
Collection : Advances in information security ; volume 77
Lien à la collection : Advances in information security (Online)
Note(s) : Notes bibliogr.
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.
Sujet(s) : Cryptographie -- Mathématiques
Arithmétique
Ordinateurs -- Conception et construction -- Informatique
Indice(s) Dewey :
005.824 (23e éd.) = Chiffrement des données (informatique)
Identifiants, prix et caractéristiques : ISBN 9783030341428. - ISBN 3030341429. - ISBN 9783030341411 (erroné)
Identifiant de la notice : ark:/12148/cb46588526t
Notice n° :
FRBNF46588526
(notice reprise d'un réservoir extérieur)
Table des matières : I. Basic computer arithmetic. ; II. Mathematical fundamentals I: number theory
; Modular-arithmetic cryptosystems ; Modular reduction ; Modular addition and multiplication
; Modular exponentiation, inversion, and division. ; III. Mathematical fundamentals
II: abstract algebra ; Elliptic-curve basics ; Elliptic-curve cryptosystems ; Polynomial-basis
arithmetic ; Normal-basis arithmetic.
