A course in Number Theory and Cryptography
Material type: TextPublication details: New York: Springer, 1994Edition: 2nd, edDescription: vii,235pISBN: 9781461264422Subject(s): Number theory | Théorie des nombres | CryptographyDDC classification: 512.7Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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General Books | Central Library, Sikkim University General Book Section | 512.7 KOB/G (Browse shelf(Opens below)) | Available | 051173 |
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512.7 KOB/C A course in number theory fand cryptography/ | 512.7 KOB/C A course in number theory fand cryptography/ | 512.7 KOB/C A course in number theory fand cryptography/ | 512.7 KOB/G A course in Number Theory and Cryptography | 512.7 MAN/I Introduction to modern number theory: fundamental problems, ideas and theories/ | 512.7 MOL/F Fundamental number theory with applications/ | 512.7 NIV/I An Introduction To The Theory Of Numbers,/ |
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.- 5 Zero-knowledge protocols and oblivious transfer.- V. Primality and Factoring.- 1. Pseudoprimes.- 2. The rho method.- 3. Fermat factorization and factor bases.- 4. The continued fraction method.- 5. The quadratic sieve method.- VI. Elliptic Curves.- 1. Basic facts.- 2. Elliptic curve cryptosystems.- 3. Elliptic curve primality test.- 4. Elliptic curve factorization.- Answers to Exercises.
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