000 02786nam a2200337 i 4500
003 OSt
005 20240812090925.0
006 m d01 |0
007 ta
008 171028t20182018enka ob 001 0 eng d
020 _z9780521520362
_q(paperback)
040 _aNhCcYBP
_beng
_erda
_cNhCcYBP
_dTUPM
050 0 _aQA 268
_bC63 2018
245 0 0 _aCodes, cryptology and curves with computer algebra /
_cRuud Pellikaan, Xin-Wen Wu, Stanislav Bulygin, Relinde Jurrius.
264 1 _aCambridge, United Kingdom ;
_aNew York, NY, USA :
_bCambridge University Press,
_c2018.
300 _axii, 597 pages ;
_c23 cm.
336 _atext
_2rdacontent
337 _aunmediated
_2rdamedia
338 _avolume
_2rdacarrier
504 _aIncludes bibliographical references and index.
505 0 _aError-correcting codes / Ruud Pellikaan and Xin-Wen Wu -- Code constructions and bounds on codes / Ruud Pellikaan and Xin-Wen Wu -- Weight enumeration / Relinde Jurrius, Ruud Pellikaan and Xin-Wen Wu -- Cyclic codes / Ruud Pellikaan -- Polynomial codes / Ruud Pellikaan -- Algebraic decoding / Ruud Pellikaan and Xin-Wen Wu -- Complexity and decoding / Stanislav Bulygin, Ruud Pellikaan and Xin-Wen Wu -- Codes and related structures / Relinde Jurrius and Ruud Pellikaan -- Cryptology / Stanislav Bulygin -- Gr�obner bases for coding and cryptology / Stanislav Bulygin -- Codes on curves / Ruud Pellikaan -- Coding and cryptology with computer algebra / Stanislav Bulygin.
520 _aThis well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics.
650 1 0 _aError-correcting codes (Information theory)
650 1 0 _aCurves, Algebraic.
650 1 0 _aCoding theory.
700 1 _aPellikaan, Ruud,
_eauthor.
700 1 _aWu, Xin-Wen,
_eauthor.
700 1 _aBulygin, Stanislav,
_eauthor.
700 1 _aJurrius, Relinde,
_eauthor.
942 _2lcc
_cBK
999 _c1895
_d1895