An introduction to mathematical cryptography
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Author
Contributions
- Pipher, Jill Catherine, 1955- - Contributor
- Silverman, Joseph H., 1955- - Contributor
Publication
2008 - Springer, New York, New York (State)
Language
English
Word Count
130,750 words, Guess
Page Count
523 pages
Identifiers
- Internet Archiveintroductiontoma00hoff_022
- Internet Archiveintroductiontoma00hoff
- Internet Archiveintroductiontoma00hoff_722
- Internet Archiveintroductiontoma00jhof
- Internet Archiveintroductiontoma00hoff_028
and 12 more
- Internet Archiveintroductiontoma00hoff_163
- Internet Archiveintroductiontoma00hoff_367
- Internet Archiveintroductiontoma00hoff_909
- Internet Archiveintroductiontoma0000hoff
- Internet Archiveintroductiontoma0000hoff_m0p2
- ISBN-139780387779935
- ISBN-100387779930
- LibraryThing7241500
- Goodreads3884171
- Library of Congress Control Number2008923038
- OCLC Control Number226280654
- Open LibraryOL23169651M
Classifications
- DDC652.80151
- DDC003.54
- LCCQA268 .H64 2008
Description
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.
Subjects
Topics
Series Statement
- Undergraduate texts in mathematics
Other Editions
- An introduction to mathematical cryptography
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