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RT Book, Whole SR Electronic DC OPAC T1 An Introduction to Mathematical Cryptography / by J.H. Silverman, Jill Pipher, Jeffrey Hoffstein T2 Undergraduate Texts in Mathematics A1 Silverman, J.H. A1 Pipher, Jill A1 Hoffstein, Jeffrey A1 SpringerLink (Online service) YR 2008 FD 2008 SP XVI, 524 p. 29 illus K1 Mathematics K1 Data structures (Computer science) K1 Data encryption (Computer science) K1 Coding theory K1 Algebra K1 Ordered algebraic structures K1 Information theory K1 Number theory K1 Mathematics K1 Number Theory K1 Coding and Information Theory K1 Data Structures, Cryptology and Information Theory K1 Data Encryption K1 Information and Communication, Circuits K1 Order, Lattices, Ordered Algebraic Structures PB Springer New York PP New York, NY SN 9780387779942 LA English (英語) CL DC23:512.7 NO 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 NO 書誌ID=1003001142; LK [E Book]http://dx.doi.org/10.1007/978-0-387-77993-5 OL 30