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The Mathematics of Ciphers: Number Theory and RSA Cryptography

Autor S.C. Coutinho
en Limba Engleză Hardback – 15 ian 1999
This book is an introduction to the algorithmic aspects of number theory and its applications to cryptography, with special emphasis on the RSA cryptosys-tem. It covers many of the familiar topics of elementary number theory, all with an algorithmic twist. The text also includes many interesting historical notes.
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Specificații

ISBN-13: 9781568810829
ISBN-10: 1568810822
Pagini: 198
Dimensiuni: 152 x 229 x 17 mm
Greutate: 0.55 kg
Ediția:Revised edition
Editura: CRC Press
Colecția A K Peters/CRC Press

Public țintă

Professional Practice & Development

Cuprins

Preface, Introduction, Chapter 1. Fundamental algorithms, Chapter 2. Unique factorization, Chapter 3. Prime numbers, Chapter 4. Modular arithmetic, Chapter 5. Induction and Fermat, Chapter 6. Pseudoprimes, Chapter 7. Systems of Congruences, Chapter 8. Groups, Chapter 9. Mersenne and Fermat, Chapter 10. Primality tests and primitive roots, Chapter 11. The RSA cryptosystem, Coda, Appendix. Roots and powers, Bibliography, Index of the main algorithms, Index of the main results, Index

Descriere

This book is more concerned with mathematics than with cryptography. It emphasizes the algorithmic aspects along with complete mathematical proofs of the algorithms. The book grew out of lecture notes aimed at first-year students of computer science.