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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
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.
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.
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.
Author: Gudrun Susanne Wetzel
Publisher:
Published: 1998
Total Pages: 222
ISBN-13: 9783826545436
DOWNLOAD EBOOK →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.
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.
Author: Murray R. Bremner
Publisher: CRC Press
Published: 2011-08-12
Total Pages: 336
ISBN-13: 1439807027
DOWNLOAD EBOOK →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.
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.
Author: Helmut Alt
Publisher: Springer Science & Business Media
Published: 2003-02-21
Total Pages: 716
ISBN-13: 3540006230
DOWNLOAD EBOOK →This book constitutes the refereed proceedings of the 20th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2003, held in Berlin, Germany in February/March 2003. The 58 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 253 submissions. The papers address the whole range of theoretical computer science including algorithms and data structures, automata and formal languages, complexity theory, semantics, logic in computer science, as well as current challenges like biological computing, quantum computing, and mobile and net computing.
