000 02584cam a2200229 i 4500
005 20220518154622.0
008 121015s2013 njua b 001 0 eng
020 _a9781118188583 (hardback)
041 _aeng
082 0 0 _a004.056
_bYAN
100 1 _aYan, Song Y.
_92442
245 1 0 _aComputational number theory and modern cryptography /
_cProf. Song Y. Yan.
260 _aSingapore:
_bJohn Wiley,
_c2013
300 _axii, 418 pages :
520 _a"The only book to provide a unified view of the interplay between computationalnumber theory and cryptographyComputational number theory and modern cryptography are two of the most important and fundamental research fields in information security. There are many textbooks on computational number theory or cryptography. However, textbooks integrating both topics are rare. This book not only introduces the basic concepts and results in the two fields, but also introduces many advanced topics. Mathematical ideas are presented first, thereupon treating cryptography as an immediate application of the mathematical ideas. The author covers topics from number theory which are relevant for applications in public-key cryptography. The most popular public-key cryptosystems are based on difficult computational problems, such as factorization of large positive integers and the discrete logarithm problem in finite fields or on elliptic curves over finite fields. The book also covers modern topics, such as coding and lattice based cryptography, which are relevant for so-called post-quantum cryptography. The author goes over the basics in the first six chapters, followed by application to the most common cryptographic algorithms in the following three chapters. Finally areas of current research are touched in the last three chapters. Serious mathematical problems behind these applications will be explained at the level accessible to computer scientists and engineers. Makes deep mathematical problems accessible to computer scientists and engineers Based on classroom tested materials used in the US, UK and China Exercises included in every chapter Instructor resources available on the book's Companion Website "--
520 _a"This book not only introduces the basic concepts and results in the two fields, but also introduces many advanced topics"--
650 0 _aData encryption (Computer science)
_9107
650 0 _aNumber theory
_xData processing.
_92443
650 7 _aCOMPUTERS / Security / Cryptography.
_92405
856 4 2 _uhttp://catalogimages.wiley.com/images/db/jimages/9781118188583.jpg
942 _cBK
999 _c241343
_d241343