机读格式显示(MARC)

• 000 02628cam a2200277 i 4500

• 001 0000844199

• 005 20250925152700.0

• 008 121015s2013 njua b 001 0 eng

• 010 __ |a 2012032708

• 020 __ |a 9781118188583 (hardback)

• 040 __ |a DLC |b eng |c DLC |e rda |d DLC

• 050 00 |a QA76.9.A25 |b Y358 2013

• 082 00 |a 005.8/2 |2 23

• 090 __ |a TP309/X27

• 093 __ |a TP309 |2 5

• 100 1_ |a Yan, Song Y.

• 245 10 |a Computational number theory and modern cryptography / |c Prof. Song Y. Yan.

• 260 __ |a Hoboken : |b John Wiley & Sons, Inc., |c 2013.

• 300 __ |a xii, 418 pages : |b illustrations ; |c 26 cm.

• 336 __ |a text |2 rdacontent

• 337 __ |a unmediated |2 rdamedia

• 338 __ |a volume |2 rdacarrier

• 504 __ |a Includes bibliographical references and index.

• 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 "-- |c Provided by publisher.

• 650 _0 |a Data encryption (Computer science)

• 650 _0 |a Number theory |x Data processing.