TY  - BOOK
AU  - Silverman,J.H.
AU  - Pipher,Jill
AU  - Hoffstein,Jeffrey
ED  - SpringerLink (Online service)
TI  - An Introduction to Mathematical Cryptography
T2  - Undergraduate Texts in Mathematics,
SN  - 9780387779942
AV  - QA241-247.5 
U1  - 512.7 23
PY  - 2008///
CY  - New York, NY
PB  - Springer New York
KW  - Number theory
KW  - Coding theory
KW  - Data structures (Computer scienc
KW  - Data encryption (Computer scienc
KW  - Mathematics
KW  - Algebra
KW  - Number Theory
KW  - Coding and Information Theory
KW  - Data Structures, Cryptology and Information Theory
KW  - Data Encryption
KW  - Information and Communication, Circuits
KW  - Order, Lattices, Ordered Algebraic Structures
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-0-387-77993-5
ER  -