E-Book, Englisch, Band 114, 208 Seiten, eBook
Koblitz A Course in Number Theory and Cryptography
Erscheinungsjahr 2012
ISBN: 978-1-4684-0310-7
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 114, 208 Seiten, eBook
Reihe: Graduate Texts in Mathematics
ISBN: 978-1-4684-0310-7
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Professional/practitioner
Autoren/Hrsg.
Weitere Infos & Material
I. Some Topics in Elementary Number Theory.- §1. Time estimates for doing arithmetic.- §2. Divisibility and the Euclidean algorithm.- §3. Congruences.- §4. Some applications to factoring.- II. Finite Fields and Quadratic Residues.- §1. Finite fields.- §2. Quadratic residues and reciprocity.- III. Cryptography.- §1. Some simple cryptosystems.- §2. Enciphering matrices.- IV. Public Key.- §1. The idea of public key cryptography.- §2. RSA.- §3. Discrete log.- §4. Knapsack.- V. Primality and Factoring.- §1. Pseudoprimes.- §2. The rho method.- §3. Fermat factorization and factor bases.- §4. The continued fraction method.- VI. Elliptic Curves.- §1. Basic facts.- §2. Elliptic curve cryptosystems.- §3. Elliptic curve factorization.- Answers to Exercises.