000 04353nam a22006255i 4500
001 978-0-387-77994-2
003 DE-He213
005 20181204133001.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387779942
_9978-0-387-77994-2
024 7 _a10.1007/978-0-387-77993-5
_2doi
040 _aISI Library, Kolkata
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
072 7 _aPBH
_2thema
082 0 4 _a512.7
_223
100 1 _aSilverman, J.H.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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 _aNumber theory.
650 0 _aCoding theory.
650 0 _aData structures (Computer scienc.
650 0 _aData encryption (Computer scienc.
650 0 _aMathematics.
650 0 _aAlgebra.
650 1 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
650 2 4 _aCoding and Information Theory.
_0http://scigraph.springernature.com/things/product-market-codes/I15041
650 2 4 _aData Structures, Cryptology and Information Theory.
_0http://scigraph.springernature.com/things/product-market-codes/I15009
650 2 4 _aData Encryption.
_0http://scigraph.springernature.com/things/product-market-codes/I15033
650 2 4 _aInformation and Communication, Circuits.
_0http://scigraph.springernature.com/things/product-market-codes/M13038
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
_0http://scigraph.springernature.com/things/product-market-codes/M11124
700 1 _aPipher, Jill.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aHoffstein, Jeffrey.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387569703
776 0 8 _iPrinted edition:
_z9781441926746
776 0 8 _iPrinted edition:
_z9780387779935
776 0 8 _iPrinted edition:
_z9781493970896
830 0 _aUndergraduate Texts in Mathematics,
_x0172-6056
856 4 0 _uhttps://doi.org/10.1007/978-0-387-77993-5
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425741
_d425741