The Mathematics of Ciphers

Number Theory and RSA Cryptography

S.C. Coutinho (Autor)

Buch | Softcover

198 Seiten

2019
CRC Press (Verlag)
978-0-367-44760-1 (ISBN)

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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.

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.

Coutinho, S.C.

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

Erscheinungsdatum	03.12.2019
Verlagsort	London
Sprache	englisch
Maße	152 x 229 mm
Gewicht	390 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-367-44760-6 / 0367447606
ISBN-13	978-0-367-44760-1 / 9780367447601
Zustand	Neuware