Lattice Basis Reduction Algorithms and Their Applications
Author: Gudrun Susanne Wetzel
Publisher:
Published: 1998
Total Pages: 222
ISBN-13: 9783826545436
DOWNLOAD EBOOK →Lanterna Rally
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Lattice Basis Reduction
Author: Murray R. Bremner
Publisher: CRC Press
Published: 2011-08-12
Total Pages: 330
ISBN-13: 1439807043
DOWNLOAD EBOOK →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
The LLL Algorithm
Author: Phong Q. Nguyen
Publisher: Springer Science & Business Media
Published: 2009-12-02
Total Pages: 503
ISBN-13: 3642022952
DOWNLOAD EBOOK →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.
Mathematics of Public Key Cryptography
Author: Steven D. Galbraith
Publisher: Cambridge University Press
Published: 2012-03-15
Total Pages: 631
ISBN-13: 1107013925
DOWNLOAD EBOOK →This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.
Complexity of Lattice Problems
Author: Daniele Micciancio
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 229
ISBN-13: 1461508975
DOWNLOAD EBOOK →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.
Interactive Theorem Proving
Author: Jeremy Avigad
Publisher: Springer
Published: 2018-07-03
Total Pages: 642
ISBN-13: 3319948210
DOWNLOAD EBOOK →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.
Advances in Cryptology – EUROCRYPT 2008
Author: Nigel Smart
Publisher: Springer
Published: 2008-04-05
Total Pages: 576
ISBN-13: 3540789677
DOWNLOAD EBOOK →Here are the refereed proceedings of the 27th Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2008. The 31 revised full papers presented were carefully reviewed and selected from 163 submissions.
International Symposium on Mathematics, Quantum Theory, and Cryptography
Author: Tsuyoshi Takagi
Publisher: Springer Nature
Published: 2020-10-22
Total Pages: 275
ISBN-13: 981155191X
DOWNLOAD EBOOK →This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardize post-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography.
Advances in Cryptology -- EUROCRYPT 2012
Author: David Pointcheval
Publisher: Springer Science & Business Media
Published: 2012-04-02
Total Pages: 769
ISBN-13: 3642290108
DOWNLOAD EBOOK →This book constitutes the refereed proceedings of the 31st Annual International Conference on the Theory and Applications of Cryptographic Techniques, EUROCRYPT 2012, held in Cambgridge, UK, in April 2012. The 41 papers, presented together with 2 invited talks, were carefully reviewed and selected from 195 submissions. The papers are organized in topical sections on index calculus, symmetric constructions, secure computation, protocols, lossy trapdoor functions, tools, symmetric cryptanalysis, fully homomorphic encryption, asymmetric cryptanalysis, efficient reductions, public-key schemes, security models, and lattices.
Advances in Cryptology - CRYPTO 2007
Author: Alfred Menezes
Publisher: Springer
Published: 2007-08-10
Total Pages: 634
ISBN-13: 3540741437
DOWNLOAD EBOOK →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.
