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A Course in Number Theory and Cryptography / by Neal Koblitz.
- Format:
- Book
- Author/Creator:
- Koblitz, Neal, 1948- author.
- Series:
- Graduate texts in mathematics 0072-5285 ; 114.
- Graduate Texts in Mathematics, 0072-5285 ; 114
- Language:
- English
- Subjects (All):
- Number theory.
- Number Theory.
- Local Subjects:
- Number Theory.
- Physical Description:
- 1 online resource (VIII, 208 pages).
- Edition:
- First edition 1987.
- Contained In:
- Springer Nature eBook
- Place of Publication:
- New York, NY : Springer New York : Imprint: Springer, 1987.
- System Details:
- text file PDF
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9781468403107
- Access Restriction:
- Restricted for use by site license.
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