Lattice Basis Reduction
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Lattice Basis Reduction
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Author : Murray R. Bremner
language : en
Publisher: CRC Press
Release Date : 2011-08-12
Lattice Basis Reduction written by Murray R. Bremner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-12 with Computers categories.
First developed in the early 1980s by Lenstra, Lenstra, and Lovász, the LLL algorithm was originally used to provide a polynomial-time algorithm for factoring polynomials with rational coefficients. It very quickly became an essential tool in integer linear programming problems and was later adapted for use in cryptanalysis. This book provides an introduction to the theory and applications of lattice basis reduction and the LLL algorithm. With numerous examples and suggested exercises, the text discusses various applications of lattice basis reduction to cryptography, number theory, polynomial factorization, and matrix canonical forms.
Lattice Basis Reduction Algorithms And Their Applications
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Author : Gudrun Susanne Wetzel
language : en
Publisher:
Release Date : 1998
Lattice Basis Reduction Algorithms And Their Applications written by Gudrun Susanne Wetzel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Application Of Lattice Basis Reduction
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Author : Lena Likavec
language : en
Publisher:
Release Date : 2011
Application Of Lattice Basis Reduction written by Lena Likavec and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
A Hierarchy Of Polynomial Time Lattice Basis Reduction Algorithms
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Author : Claus Peter Schnorr
language : en
Publisher:
Release Date : 1987
A Hierarchy Of Polynomial Time Lattice Basis Reduction Algorithms written by Claus Peter Schnorr and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Algorithmic Number Theory
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Author : Wieb Bosma
language : en
Publisher: Springer
Release Date : 2006-12-30
Algorithmic Number Theory written by Wieb Bosma and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-30 with Mathematics categories.
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.
Cryptanalysis Of Rsa And Its Variants
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Author : M. Jason Hinek
language : en
Publisher: CRC Press
Release Date : 2009-07-21
Cryptanalysis Of Rsa And Its Variants written by M. Jason Hinek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-21 with Computers categories.
Thirty years after RSA was first publicized, it remains an active research area. Although several good surveys exist, they are either slightly outdated or only focus on one type of attack. Offering an updated look at this field, Cryptanalysis of RSA and Its Variants presents the best known mathematical attacks on RSA and its main variants, includin
Mathematics Of Public Key Cryptography
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Author : Steven D. Galbraith
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-15
Mathematics Of Public Key Cryptography written by Steven D. Galbraith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Computers categories.
This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.
Research In Cryptology
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Author : Frederik Armknecht
language : en
Publisher: Springer
Release Date : 2012-10-06
Research In Cryptology written by Frederik Armknecht and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-06 with Computers categories.
This book constitutes the refereed proceedings of the 4th Western European Workshop on Research in Cryptology, WEWoRC 2011, held in Weimar Germany, in July 2011. The 10 revised full papers were carefully reviewed and selected from numerour submissions. The papers span a wide spectrum of topics from foundations of cryptology, upto secret-key cryptosystems and hash functions, public-key cryptosystems, modes of operation, cryptographic protocols, hardware and software implementation of cryptosystems and their integration into secure systems, and applications such as watermarking and code obfuscation.
The Lll Algorithm
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Author : Phong Q. Nguyen
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-02
The Lll Algorithm written by Phong Q. Nguyen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-02 with Computers categories.
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 includes many detailed motivations, explanations and examples.
Applied Algebra Algebraic Algorithms And Error Correcting Codes
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Author : Gérard Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 1995
Applied Algebra Algebraic Algorithms And Error Correcting Codes written by Gérard Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Algebra categories.
This book constitutes the proceedings of the 11th International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-11, held in Paris, France in July 1995. The volume presents five invited papers and 32 full revised research papers selected from a total of 68 submissions; it is focussed on research directed to the exploitation of algebraic techniques and methodologies for the application in coding and computer algebra. Among the topics covered are coding, cryptoloy, communication, factorization of polynomials, Gröbner bases, computer algebra, algebraic algorithms, symbolic computation, algebraic manipulation.