S. C. Coutinho

The Mathematics of Ciphers (eBook, PDF)

Number Theory and RSA Cryptography

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 198
• Erscheinungstermin: 15. Januar 1999
• Englisch
• ISBN-13: 9781439863893
• Artikelnr.: 57895975

Autorenporträt

Coutinho, S.C.

Inhaltsangabe

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