An Introduction to Mathematical Cryptography / by J.H. Silverman, Jill Pipher, Jeffrey Hoffstein
(Undergraduate Texts in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York |
| 出版年 | 2008 |
| 本文言語 | 英語 |
| 大きさ | XVI, 524 p. 29 illus : online resource |
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| 内容注記 | An 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 |
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| 一般注記 | This 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 |
| 著者標目 | *Silverman, J.H. author Pipher, Jill author Hoffstein, Jeffrey author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Data structures (Computer science) LCSH:Data encryption (Computer science) LCSH:Coding theory LCSH:Algebra LCSH:Ordered algebraic structures LCSH:Information theory LCSH:Number theory FREE:Mathematics FREE:Number Theory FREE:Coding and Information Theory FREE:Data Structures, Cryptology and Information Theory FREE:Data Encryption FREE:Information and Communication, Circuits FREE:Order, Lattices, Ordered Algebraic Structures |
| 分 類 | DC23:512.7 |
| 巻冊次 | ISBN:9780387779942 
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| ISBN | 9780387779942 |
| URL | http://dx.doi.org/10.1007/978-0-387-77993-5 |
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