Complexity Of Lattice Problems
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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.
A Decade Of Lattice Cryptography
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Author : Chris Peikert
language : en
Publisher:
Release Date : 2016-03-07
A Decade Of Lattice Cryptography written by Chris Peikert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-07 with Computer networks categories.
Surveys most of the major developments in lattice cryptography over the past ten years. The main focus is on the foundational short integer solution (SIS) and learning with errors (LWE) problems, their provable hardness assuming the worst-case intractability of standard lattice problems, and their many cryptographic applications.
Advances In Cryptology Crypto 2009
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Author : Shai Halevi
language : en
Publisher: Springer
Release Date : 2009-08-18
Advances In Cryptology Crypto 2009 written by Shai Halevi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-18 with Computers categories.
This book constitutes the refereed proceedings of the 29th Annual International Cryptology Conference, CRYPTO 2009, held in Santa Barbara, CA, USA in August 2009. The 38 revised full papers presented were carefully reviewed and selected from 213 submissions. Addressing all current foundational, theoretical and research aspects of cryptology, cryptography, and cryptanalysis as well as advanced applications, the papers are organized in topical sections on key leakage, hash-function cryptanalysis, privacy and anonymity, interactive proofs and zero-knowledge, block-cipher cryptanalysis, modes of operation, elliptic curves, cryptographic hardness, merkle puzzles, cryptography in the physical world, attacks on signature schemes, secret sharing and secure computation, cryptography and game-theory, cryptography and lattices, identity-based encryption and cryptographers’ toolbox.
Post Quantum Cryptography
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Author : Daniel J. Bernstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-01
Post Quantum Cryptography written by Daniel J. Bernstein 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 2009-02-01 with Mathematics categories.
Quantum computers will break today's most popular public-key cryptographic systems, including RSA, DSA, and ECDSA. This book introduces the reader to the next generation of cryptographic algorithms, the systems that resist quantum-computer attacks: in particular, post-quantum public-key encryption systems and post-quantum public-key signature systems. Leading experts have joined forces for the first time to explain the state of the art in quantum computing, hash-based cryptography, code-based cryptography, lattice-based cryptography, and multivariate cryptography. Mathematical foundations and implementation issues are included. This book is an essential resource for students and researchers who want to contribute to the field of post-quantum cryptography.
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.
Advances In Cryptology Asiacrypt 2008
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Author : Josef Pawel Pieprzyk
language : en
Publisher: Springer
Release Date : 2008-12-02
Advances In Cryptology Asiacrypt 2008 written by Josef Pawel Pieprzyk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-02 with Computers categories.
This book constitutes the refereed proceedings of the 14th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 2008, held in Melbourne, Australia, in December 2008. The 33 revised full papers presented together with the abstract of 1 invited lecture were carefully reviewed and selected from 208 submissions. The papers are organized in topical sections on muliti-party computation, cryptographic protocols, cryptographic hash functions, public-key cryptograhy, lattice-based cryptography, private-key cryptograhy, and analysis of stream ciphers.
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.
Lattices And Their Application In Cryptography
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Author : Merve Cakir
language : en
Publisher: GRIN Verlag
Release Date : 2017-01-23
Lattices And Their Application In Cryptography written by Merve Cakir and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-23 with Computers categories.
Bachelor Thesis from the year 2014 in the subject Engineering - Computer Engineering, grade: 1,0, Hamburg University of Technology (Institut für Eingebettete Systeme), language: English, abstract: The aim of this thesis is to identify the characteristics of lattice-based cryptosystems. The use of encryption and signature schemes can be insecure considering attacks by a quantum computer and inefficient in the computation time. An alternative cryptography is proposed, which is based on worst-case lattice problems. The security and the hardness of the underlying computational problems will be analyzed by providing collaboration between the linear-algebra, complexity-theory and the public-key cryptography.
Advances In Cryptology Crypto 97
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Author : Burton S.Jr. Kaliski
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-08-06
Advances In Cryptology Crypto 97 written by Burton S.Jr. Kaliski 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 1997-08-06 with Computers categories.
This book constitutes the refereed proceedings of the 17th Annual International Cryptology Conference, CRYPTO'97, held in Santa Barbara, California, USA, in August 1997 under the sponsorship of the International Association for Cryptologic Research (IACR). The volume presents 35 revised full papers selected from 160 submissions received. Also included are two invited presentations. The papers are organized in sections on complexity theory, cryptographic primitives, lattice-based cryptography, digital signatures, cryptanalysis of public-key cryptosystems, information theory, elliptic curve implementation, number-theoretic systems, distributed cryptography, hash functions, cryptanalysis of secret-key cryptosystems.
Advances In Cryptology Eurocrypt 2010
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Author : Henri Gilbert
language : en
Publisher: Springer
Release Date : 2010-05-29
Advances In Cryptology Eurocrypt 2010 written by Henri Gilbert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-29 with Computers categories.
These are the proceedings of Eurocrypt 2010, the 29th in the series of Eu- pean conferences on the Theory and Application of Cryptographic Techniques. The conference was sponsored by the International Association for Cryptologic Research and held on the French Riviera, May 30–June 3, 2010. A total of 191 papers were received of which 188 were retained as valid submissions. These were each assigned to at least three Program Committee members and a total of 606 review reports were produced. The printed record of the reviews and extensive online discussions that followed would be almost as voluminous as these proceedings. In the end 35 submissions were accepted with twosubmissionpairsbeingmergedtogive33paperspresentedattheconference. The ?nal papers in these proceedings were not subject to a second review before publication and the authors are responsible for their contents. The ProgramCommittee, listed on the next page, deservesparticular thanks for all their hard work, their outstanding expertise, and their constant c- mitment to all aspects of the evaluation process. These thanks are of course extended to the very many external reviewers who took the time to help out during the evaluation process.It was also a greatpleasure to honor and welcome Moti Yung who gave the 2010 IACR Distinguished Lecture.