000			02890nam a22003255i 4500
001			65504
005			20210505153403.0
010			_a978-1-4939-1711-2 _dcompra
090			_a65504
100			_a20150401d2014 k||y0pory50 ba
101			_aeng
102			_aUS
200			_aAn introduction to mathematical cryptography _bDocumento electrónico _fJeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
210			_aNew York, NY _cSpringer _d2014
215			_aXVII, 538 p. _cil.
225			_aUndergraduate Texts in Mathematics
300			_aColocação: Online
303			_aThis self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.
606			_aTeoria de codificação
606			_aCriptografia
680			_aQA268
700			_aHoffstein _bJeffrey
701			_958113 _aPipher _bJill _4070
701			_916408 _aSilverman _bJoseph H. _4070
801			_aPT _gRPC
856			_uhttp://dx.doi.org/10.1007/978-1-4939-1711-2
942			_2lcc _cF _n0