000			03483nam a22005175i 4500
001			978-0-387-77994-2
003			DE-He213
005			20251006084417.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780387779942
020			_a99780387779942
024	7		_a10.1007/978-0-387-77993-5 _2doi
100	1		_aSilverman, J.H. _eauthor.
245	1	3	_aAn Introduction to Mathematical Cryptography _h[electronic resource] / _cby J.H. Silverman, Jill Pipher, Jeffrey Hoffstein.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_aXVI, 524 p. 29 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aAn Introduction to Cryptography -- Discrete Logarithms and Diffie Hellman -- Integer Factorization and RSA -- Combinatorics, Probability and Information Theory -- Elliptic Curves and Cryptography -- Lattices and Cryptography -- Digital Signatures -- Additional Topics in Cryptography.
520			_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. 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 recent cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. This book is 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.
650		0	_aMATHEMATICS.
650		0	_aDATA STRUCTURES (COMPUTER SCIENCE).
650		0	_aDATA ENCRYPTION (COMPUTER SCIENCE).
650		0	_aALGEBRA.
650		0	_aNUMBER THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES.
650	2	4	_aINFORMATION AND COMMUNICATION, CIRCUITS.
650	2	4	_aDATA ENCRYPTION.
650	2	4	_aDATA STRUCTURES, CRYPTOLOGY AND INFORMATION THEORY.
650	2	4	_aNUMBER THEORY.
700	1		_aPipher, Jill. _eauthor.
700	1		_aHoffstein, Jeffrey. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387779935
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-77993-5 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59040 _d59040