03894nam a22005175i 4500978-1-4419-9003-7DE-He21320150521130119.0cr nn 008mamaa110423s2004 xxu: s :::: 0:eng d9781441990037978-1-4419-9003-710.1007/978-1-4419-9003-7doiENGDEQA241-247.5PBHbicsscMAT022000bisacsh512.723Online resource: SpringerBuchmann, Johannes A.Introduction to Cryptography[EBook] /by Johannes A. Buchmann.Second Edition.New York, NY :Springer New York :Imprint: Springer,2004.XVI, 338 p.online resource.texttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaUndergraduate Texts in Mathematics,0172-60561 Integers -- 2 Congruences and Residue Class Rings -- 3 Encryption -- 4 Probability and Perfect Secrecy -- 5 DES -- 6 AES -- 7 Prime Number Generation -- 8 Public-Key Encryption -- 9 Factoring -- 10 Discrete Logarithms -- 11 Cryptographic Hash Functions -- 12 Digital Signatures -- 13 Other Systems -- 14 Identification -- 15 Secret Sharing -- 16 Public-Key Infrastructures -- Solutions of the exercises -- References.Cryptography is a key technology in electronic key systems. It is used to keep data secret, digitally sign documents, access control, etc. Therefore, users should not only know how its techniques work, but they must also be able to estimate their efficiency and security. For this new edition, the author has updated the discussion of the security of encryption and signature schemes and recent advances in factoring and computing discrete logarithms. He has also added descriptions of time-memory trade of attacks and algebraic attacks on block ciphers, the Advanced Encryption Standard, the Secure Hash Algorithm, secret sharing schemes, and undeniable and blind signatures. Johannes A. Buchmann is a Professor of Computer Science and Mathematics at the Technical University of Darmstadt, and the Associate Editor of the Journal of Cryptology. In 1985, he received the Feodor Lynen Fellowship of the Alexander von Humboldt Foundation. Furthermore, he has received the most prestigious award in science in Germany, the Leibniz Award of the German Science Foundation. About the first edition: It is amazing how much Buchmann is able to do in under 300 pages: self-contained explanations of the relevant mathematics (with proofs); a systematic introduction to symmetric cryptosystems, including a detailed description and discussion of DES; a good treatment of primality testing, integer factorization, and algorithms for discrete logarithms; clearly written sections describing most of the major types of cryptosystems....This book is an excellent reference, and I believe it would also be a good textbook for a course for mathematics or computer science majors..." -Neal Koblitz, The American Mathematical Monthly.Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)Mathematics.Data structures (Computer science).Number theory.Mathematics.Number Theory.Data Structures, Cryptology and Information Theory.SpringerLink (Online service)Springer eBooksPrinted edition:9780387207568Undergraduate Texts in Mathematics,0172-6056http://dx.doi.org/10.1007/978-1-4419-9003-7ZDB-2-SMAZDB-2-BAEMathematics and Statistics (Springer-11649)