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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.
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Previews available in: English
Subjects
Mathematics, Number theory, Algebra, Cryptography, Coding theory, Cryptographie, Mathématiques, Cryptage, Data encryption (Computer science), Data structures (Computer science), Cryptography--mathematics, Data encryption (computer science), Data structures (computer science), Qa268 .h64 2008, 652.80151, 003.54Showing 5 featured editions. View all 5 editions?
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An Introduction to Mathematical Cryptography
Sep 10, 2016, Springer
paperback
1493939386 9781493939381
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An Introduction to Mathematical Cryptography
Sep 11, 2014, Springer
paperback
1493917129 9781493917129
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3
An Introduction to Mathematical Cryptography
Sep 11, 2014, Springer
hardcover
1493917102 9781493917105
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4
An Introduction to Mathematical Cryptography
Dec 01, 2010, Springer
paperback
1441926747 9781441926746
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