Lattice Basis Reduction


Lattice Basis Reduction
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Lattice Basis Reduction Algorithms And Their Applications


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.




Lattice Basis Reduction


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 Lovasz, 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 i



Mathematics Of Public Key Cryptography


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.



The Lll Algorithm


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.



Complexity Of Lattice Problems


Complexity Of Lattice Problems
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Author : Daniele Micciancio
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Complexity Of Lattice Problems written by Daniele Micciancio 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 2012-12-06 with Computers categories.


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 apparent simplicity, lattices hide a rich combinatorial struc ture, which has attracted the attention of great mathematicians over the last two centuries. Not surprisingly, lattices have found numerous ap plications in mathematics and computer science, ranging from number theory and Diophantine approximation, to combinatorial optimization and cryptography. The study of lattices, specifically from a computational point of view, was marked by two major breakthroughs: the development of the LLL lattice reduction algorithm by Lenstra, Lenstra and Lovasz in the early 80's, and Ajtai's discovery of a connection between the worst-case and average-case hardness of certain lattice problems in the late 90's. The LLL algorithm, despite the relatively poor quality of the solution it gives in the worst case, allowed to devise polynomial time solutions to many classical problems in computer science. These include, solving integer programs in a fixed number of variables, factoring polynomials over the rationals, breaking knapsack based cryptosystems, and finding solutions to many other Diophantine and cryptanalysis problems.



Cryptography And Lattices


Cryptography And Lattices
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Author : Joseph H. Silverman
language : en
Publisher: Springer
Release Date : 2003-06-30

Cryptography And Lattices written by Joseph H. Silverman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.


This book constitutes the thoroughly refereed post-proceedings of the International Conference on Cryptography and Lattices, CaLC 2001, held in Providence, RI, USA in March 2001. The 14 revised full papers presented together with an overview paper were carefully reviewed and selected for inclusion in the book. All current aspects of lattices and lattice reduction in cryptography, both for cryptographic construction and cryptographic analysis, are addressed.



Lattice Basis Reduction


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.



Interactive Theorem Proving


Interactive Theorem Proving
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Author : Jeremy Avigad
language : en
Publisher: Springer
Release Date : 2018-07-03

Interactive Theorem Proving written by Jeremy Avigad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-03 with Mathematics categories.


This book constitutes the refereed proceedings of the 9th International Conference on Interactive Theorem Proving, ITP 2018, held in Oxford, UK, in July 2018. The 32 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions. The papers feature research in the area of logical frameworks and interactive proof assistants. The topics include theoretical foundations and implementation aspects of the technology, as well as applications to verifying hardware and software systems to ensure their safety and security, and applications to the formal verication of mathematical results. Chapters 2, 10, 26, 29, 30 and 37 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.



An Algorithmic Theory Of Numbers Graphs And Convexity


An Algorithmic Theory Of Numbers Graphs And Convexity
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Author : Laszlo Lovasz
language : en
Publisher: SIAM
Release Date : 1987-01-01

An Algorithmic Theory Of Numbers Graphs And Convexity written by Laszlo Lovasz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-01-01 with Mathematics categories.


Studies two algorithms in detail: the ellipsoid method and the simultaneous diophantine approximation method.



Advances In Cryptology Crypto 2007


Advances In Cryptology Crypto 2007
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Author : Alfred Menezes
language : en
Publisher: Springer
Release Date : 2007-08-10

Advances In Cryptology Crypto 2007 written by Alfred Menezes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-10 with Computers categories.


This volume constitutes the refereed proceedings of the 27th Annual International Cryptology Conference held in Santa Barbara, California, in August 2007. Thirty-three full papers are presented along with one important invited lecture. The papers address current foundational, theoretical, and research aspects of cryptology, cryptography, and cryptanalysis. In addition, readers will discover many advanced and emerging applications.