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An Introduction to Mathematical Cryptography
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Only basic linear algebra is required readers, techniques from algebra, number theory, and probability are introduced and developed as needed. This book covers many topics that are considered important for cryptographic mathematics. The main topics include: * Construction of classical cryptography, such as Diffie-Hellmann key exchange cryptosystem based on discrete logarithm, RSA cryptosystem, and digital signatures; * Basic mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; * Care deeply about cryptography important innovations recently, such as elliptic curve, elliptic curve cryptography-based partner, lattice, lattice-based cryptography, and the NTRU cryptosystem. Additional topics, including hash functions, pseudorandom number generators, zero-knowledge proof, digital cash, and DES / AES, briefly described in the last chapter.
Computer eBook Details
- ISBN-10: 0387779930
- ISBN-13: 9780387779935
- Publisher: Springer
- Pages: 524
- Date: August 2008
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