Complexity of Lattice Problems

Download Complexity of Lattice Problems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461508975
Total Pages : 229 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!


Book Synopsis Complexity of Lattice Problems by : Daniele Micciancio

Download or read book Complexity of Lattice Problems written by Daniele Micciancio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download A Decade of Lattice Cryptography PDF Online Free

Author :
Publisher :
ISBN 13 : 9781680831122
Total Pages : 156 pages
Book Rating : 4.8/5 (311 download)

DOWNLOAD NOW!


Book Synopsis A Decade of Lattice Cryptography by : Chris Peikert

Download or read book A Decade of Lattice Cryptography written by Chris Peikert and published by . This book was released on 2016-03-07 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download Advances in Cryptology - CRYPTO 2009 PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3642033563
Total Pages : 702 pages
Book Rating : 4.6/5 (42 download)

DOWNLOAD NOW!


Book Synopsis Advances in Cryptology - CRYPTO 2009 by : Shai Halevi

Download or read book Advances in Cryptology - CRYPTO 2009 written by Shai Halevi and published by Springer. This book was released on 2009-08-18 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The LLL Algorithm

Download The LLL Algorithm PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642022952
Total Pages : 503 pages
Book Rating : 4.6/5 (42 download)

DOWNLOAD NOW!


Book Synopsis The LLL Algorithm by : Phong Q. Nguyen

Download or read book The LLL Algorithm written by Phong Q. Nguyen and published by Springer Science & Business Media. This book was released on 2009-12-02 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download Advances in Cryptology - ASIACRYPT 2008 PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540892559
Total Pages : 572 pages
Book Rating : 4.5/5 (48 download)

DOWNLOAD NOW!


Book Synopsis Advances in Cryptology - ASIACRYPT 2008 by : Josef Pawel Pieprzyk

Download or read book Advances in Cryptology - ASIACRYPT 2008 written by Josef Pawel Pieprzyk and published by Springer. This book was released on 2008-12-02 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Post-Quantum Cryptography

Download Post-Quantum Cryptography PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540887024
Total Pages : 246 pages
Book Rating : 4.5/5 (48 download)

DOWNLOAD NOW!


Book Synopsis Post-Quantum Cryptography by : Daniel J. Bernstein

Download or read book Post-Quantum Cryptography written by Daniel J. Bernstein and published by Springer Science & Business Media. This book was released on 2009-02-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Complexity

Download Computational Complexity PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 0521424267
Total Pages : 609 pages
Book Rating : 4.5/5 (214 download)

DOWNLOAD NOW!


Book Synopsis Computational Complexity by : Sanjeev Arora

Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Advances in Cryptology – EUROCRYPT 2010

Download Advances in Cryptology – EUROCRYPT 2010 PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3642131905
Total Pages : 706 pages
Book Rating : 4.6/5 (421 download)

DOWNLOAD NOW!


Book Synopsis Advances in Cryptology – EUROCRYPT 2010 by : Henri Gilbert

Download or read book Advances in Cryptology – EUROCRYPT 2010 written by Henri Gilbert and published by Springer. This book was released on 2010-05-29 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Cryptology - CRYPTO '97

Download Advances in Cryptology - CRYPTO '97 PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540633846
Total Pages : 564 pages
Book Rating : 4.6/5 (338 download)

DOWNLOAD NOW!


Book Synopsis Advances in Cryptology - CRYPTO '97 by : Burton S.Jr. Kaliski

Download or read book Advances in Cryptology - CRYPTO '97 written by Burton S.Jr. Kaliski and published by Springer Science & Business Media. This book was released on 1997-08-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lattice Basis Reduction

Download Lattice Basis Reduction PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1439807043
Total Pages : 330 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!


Book Synopsis Lattice Basis Reduction by : Murray R. Bremner

Download or read book Lattice Basis Reduction written by Murray R. Bremner and published by CRC Press. This book was released on 2011-08-12 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Complexity of Infinite-Domain Constraint Satisfaction

Download Complexity of Infinite-Domain Constraint Satisfaction PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1107042844
Total Pages : 537 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!


Book Synopsis Complexity of Infinite-Domain Constraint Satisfaction by : Manuel Bodirsky

Download or read book Complexity of Infinite-Domain Constraint Satisfaction written by Manuel Bodirsky and published by Cambridge University Press. This book was released on 2021-06-10 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the universal-algebraic approach to classifying the computational complexity of constraint satisfaction problems.

Advances in Cryptology - CRYPTO 2007

Download Advances in Cryptology - CRYPTO 2007 PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540741437
Total Pages : 634 pages
Book Rating : 4.5/5 (47 download)

DOWNLOAD NOW!


Book Synopsis Advances in Cryptology - CRYPTO 2007 by : Alfred Menezes

Download or read book Advances in Cryptology - CRYPTO 2007 written by Alfred Menezes and published by Springer. This book was released on 2007-08-10 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

International Symposium on Mathematics, Quantum Theory, and Cryptography

Download International Symposium on Mathematics, Quantum Theory, and Cryptography PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 981155191X
Total Pages : 275 pages
Book Rating : 4.8/5 (115 download)

DOWNLOAD NOW!


Book Synopsis International Symposium on Mathematics, Quantum Theory, and Cryptography by : Tsuyoshi Takagi

Download or read book International Symposium on Mathematics, Quantum Theory, and Cryptography written by Tsuyoshi Takagi and published by Springer Nature. This book was released on 2020-10-22 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lattice Coding for Signals and Networks

Download Lattice Coding for Signals and Networks PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1139991590
Total Pages : 459 pages
Book Rating : 4.1/5 (399 download)

DOWNLOAD NOW!


Book Synopsis Lattice Coding for Signals and Networks by : Ram Zamir

Download or read book Lattice Coding for Signals and Networks written by Ram Zamir and published by Cambridge University Press. This book was released on 2014-08-07 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unifying information theory and digital communication through the language of lattice codes, this book provides a detailed overview for students, researchers and industry practitioners. It covers classical work by leading researchers in the field of lattice codes and complementary work on dithered quantization and infinite constellations, and then introduces the more recent results on 'algebraic binning' for side-information problems, and linear/lattice codes for networks. It shows how high dimensional lattice codes can close the gap to the optimal information theoretic solution, including the characterisation of error exponents. The solutions presented are based on lattice codes, and are therefore close to practical implementations, with many advanced setups and techniques, such as shaping, entropy-coding, side-information and multi-terminal systems. Moreover, some of the network setups shown demonstrate how lattice codes are potentially more efficient than traditional random-coding solutions, for instance when generalising the framework to Gaussian networks.

Mathematics and Computation

Download Mathematics and Computation PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!


Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Advances in Cryptology – EUROCRYPT 2008

Download Advances in Cryptology – EUROCRYPT 2008 PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540789677
Total Pages : 564 pages
Book Rating : 4.5/5 (47 download)

DOWNLOAD NOW!


Book Synopsis Advances in Cryptology – EUROCRYPT 2008 by : Nigel Smart

Download or read book Advances in Cryptology – EUROCRYPT 2008 written by Nigel Smart and published by Springer. This book was released on 2008-04-05 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Computing Since Democritus

Download Quantum Computing Since Democritus PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 0521199565
Total Pages : 403 pages
Book Rating : 4.5/5 (211 download)

DOWNLOAD NOW!


Book Synopsis Quantum Computing Since Democritus by : Scott Aaronson

Download or read book Quantum Computing Since Democritus written by Scott Aaronson and published by Cambridge University Press. This book was released on 2013-03-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.