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The LLL Algorithm
Language: en
Pages: 503
Authors: Phong Q. Nguyen
Categories: Computers
Type: BOOK - Published: 2009-12-02 - Publisher: Springer Science & Business Media

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The first book to offer a comprehensive view of the LLL algorithm, this text surveys computational aspects of Euclidean lattices and their main applications. It
Lattice Basis Reduction
Language: en
Pages: 330
Authors: Murray R. Bremner
Categories: Computers
Type: BOOK - Published: 2011-08-12 - Publisher: CRC Press

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First developed in the early 1980s by Lenstra, Lenstra, and Lovasz, the LLL algorithm was originally used to provide a polynomial-time algorithm for factoring p
Complexity of Lattice Problems
Language: en
Pages: 229
Authors: Daniele Micciancio
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Lattices are geometric objects that can be pictorially described as the set of intersection points of an infinite, regular n-dimensional grid. De spite their ap
A Course in Computational Algebraic Number Theory
Language: en
Pages: 556
Authors: Henri Cohen
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves
Mathematics of Public Key Cryptography
Language: en
Pages: 631
Authors: Steven D. Galbraith
Categories: Computers
Type: BOOK - Published: 2012-03-15 - Publisher: Cambridge University Press

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This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.