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Elementary Number Theory, Cryptography and Codes

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Author(s): Baldoni, Ciliberto, Cattaneo
Publisher: Springer
Year: 2009

Language: English
Pages: 530

Elementary Number Theory, Cryptography and Codes......Page 1
Introduction......Page 5
Contents......Page 11
1 - A round-up on numbers......Page 17
2 - Computational complexity......Page 102
3 - From infinite to finite......Page 129
4 - Finite is not enough: factoring integers......Page 162
5 - Finite fields and polynomial congruences......Page 226
6 - Primality and factorisation tests......Page 274
7 - Secrets...and lies......Page 332
8 - Transmitting without... fear of errors......Page 417
9 - The future is already here: quantum cryptography......Page 456
Solution to selected exercises......Page 481
References......Page 516
Index......Page 519