Download or read book Alg bre Cryptologie Codes Correcteurs D Erreurs written by Pierre Meunier and published by Éditions Cépaduès. This book was released on 2016-04-08 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le but de cet ouvrage consiste à expliquer pourquoi les mathématiques permettent d’apporter des réponses satisfaisantes aux contraintes déjà évoquées.

Download or read book Codes correcteurs d erreurs written by Gérard Cohen and published by Elsevier Masson. This book was released on 1992 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Au sommaire : codes correcteurs d'erreurs : une introduction, codes en blocs linéaires, propriétés des corps finis, codes cycliques, décodage algébrique des codes cycliques, constructions de codes, bornes, circuits de codage, probabilités et taux d'erreurs

Download or read book Arithm tique application aux codes correcteurs et la cryptographie written by Pierre Wassef and published by . This book was released on 2008 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les propriétés fondamentales de l'ensemble des entiers naturels - notamment le principe de récurrence - constituent le point de départ de ce cours où l'auteur développe ensuite l'arithmétique des congruences (ou arithmétique modulaire) et ses applications à la cryptographie. L'étude des corps finis conduit enfin au chapitre consacré aux codes correcteurs d'erreurs. A l'échelon de la licence, cette arithmétique offre un des rares exemples où les mathématiques trouvent des applications directes dans notre vie quotidienne. En effet, lorsque nous utilisons un micro-ordinateur, lorsque nous écoutons un CD ou regardons un DVD, le transfert des données numériques n'est exploitable qu'avec l'aide des codes correcteurs d'erreurs. Destiné en priorité aux étudiants préparant la licence de mathématiques (niveau L2), cet ouvrage se suffit à lui-même car toutes les notions de base nécessaires à la compréhension du cours et enseignées en première année sont reprises dans un chapitre de rappels. Par ailleurs, une annexe est réservée à l'exposé des bases de la logique mathématique. Les résultats importants sont, pour la plupart, situés dans le cadre de leur découverte ; du IIIe siècle avant notre ère avec Euclide, jusqu'à Andrew Wiles aujourd'hui - en passant par Fermat, Gauss et tant d'autres - la dimension historique de cette branche des mathématiques n'en apparaît que mieux.

Download or read book Alg bre et informatique written by Pierre Meunier and published by . This book was released on 2013-05-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: De nos jours, l’information occupe une place prépondérante dans la vie de chacun de nous ; encore faut-il que son mode d’acheminement soit fiable ou, à tout le moins, susceptible d’être corrigé. Cet ouvrage apporte des réponses à la problématique qui vient d’être exposée grâce à la mise en œuvre de protocoles mathématiques capables de reconstituer intégralement la communication originelle sous réserve, cependant, qu’il n’y ait pas eu trop d’erreurs de transmission.

Download or read book Cryptographie principes et mises en uvre 2 me dition revue et augment e written by BARTHELEMY Pierre and published by Lavoisier. This book was released on 2012-04-16 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quels sont les enjeux de la cryptographie moderne ? Quels sont ses objets, son langage ? Quelles sont les solutions actuelles aux problèmes de confidentialité, d'authentification et d'anonymat ? Quel degré de confiance peut-on accorder à ces solutions ? Cette seconde édition, enrichie et mise à jour, propose un panorama des outils et procédés de la cryptographie. Après avoir présenté et analysé les méthodes, cet ouvrage offre une description précise des techniques mathématiques indispensables et des principales primitives cryptographiques. Les fonctionnalités de base comme le chiffrement, la signature ou l'authentification, sont étudiées dans le cadre de la cryptographie à clé publique ou secrète. Cryptographie analyse également l'interaction entre ces notions ainsi que leurs mises en oeuvre dans des protocoles généraux et dans des applications concrètes. Il s'intéresse aux attaques contre les systèmes cryptographiques y compris celles par canaux cachés et par injection de fautes. Il aborde le domaine désormais indispensable des preuves de sécurité.

Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Marc Fossorier and published by Springer. This book was released on 2003-07-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-13, held in Honolulu, Hawaii, USA in November 1999. The 42 revised full papers presented together with six invited survey papers were carefully reviewed and selected from a total of 86 submissions. The papers are organized in sections on codes and iterative decoding, arithmetic, graphs and matrices, block codes, rings and fields, decoding methods, code construction, algebraic curves, cryptography, codes and decoding, convolutional codes, designs, decoding of block codes, modulation and codes, Gröbner bases and AG codes, and polynomials.

Download or read book Selected Topics In Information And Coding Theory written by Isaac Woungang and published by World Scientific. This book was released on 2010-02-26 with total page 725 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.

Download or read book Cryptographie a base de codes correcteurs d erreurs et generateurs aleatoires written by Beatrice Peirani and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Error Correcting Codes written by D J. Baylis and published by CRC Press. This book was released on 1997-12-04 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming little previous mathematical knowledge, Error Correcting Codes provides a sound introduction to key areas of the subject. Topics have been chosen for their importance and practical significance, which Baylis demonstrates in a rigorous but gentle mathematical style. Coverage includes optimal codes; linear and non-linear codes; general techniques of decoding errors and erasures; error detection; syndrome decoding, and much more. Error Correcting Codes contains not only straight maths, but also exercises on more investigational problem solving. Chapters on number theory and polynomial algebra are included to support linear codes and cyclic codes, and an extensive reminder of relevant topics in linear algebra is given. Exercises are placed within the main body of the text to encourage active participation by the reader, with comprehensive solutions provided. Error Correcting Codes will appeal to undergraduate students in pure and applied mathematical fields, software engineering, communications engineering, computer science and information technology, and to organizations with substantial research and development in those areas.

Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Serdar Boztas and published by Springer. This book was released on 2003-06-30 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AAECC Symposia Series was started in 1983 by Alain Poli (Toulouse), who, together with R. Desq, D. Lazard, and P. Camion, organized the ?rst conference. Originally the acronym AAECC meant “Applied Algebra and Error-Correcting Codes”. Over the years its meaning has shifted to “Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes”, re?ecting the growing importance of complexity in both decoding algorithms and computational algebra. AAECC aims to encourage cross-fertilization between algebraic methods and their applications in computing and communications. The algebraic orientation is towards ?nite ?elds, complexity, polynomials, and graphs. The applications orientation is towards both theoretical and practical error-correction coding, and, since AAECC 13 (Hawaii, 1999), towards cryptography. AAECC was the ?rst symposium with papers connecting Gr ̈obner bases with E-C codes. The balance between theoretical and practical is intended to shift regularly; at AAECC-14 the focus was on the theoretical side. The main subjects covered were: – Codes: iterative decoding, decoding methods, block codes, code construction. – Codes and algebra: algebraic curves, Gr ̈obner bases, and AG codes. – Algebra: rings and ?elds, polynomials. – Codes and combinatorics: graphs and matrices, designs, arithmetic. – Cryptography. – Computational algebra: algebraic algorithms. – Sequences for communications.

Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Marc Fossorier and published by Springer. This book was released on 2003-08-03 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-15, held in Toulouse, France, in May 2003.The 25 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 40 submissions. Among the subjects addressed are block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Download or read book Cryptographie base de codes correcteurs d erreurs en m trique rang et application written by Nicolas Aragon and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: La cryptographie basée sur les codes correcteurs d'erreurs est un des domaines permettant de construire des cryptosystèmes post-quantiques, c'est à dire résistants à l'ordinateur quantique. Contrairement à la factorisation et au logarithme discret,qui sont les deux problèmes les plus utilisés à l'heure actuelle en cryptographie, aucun algorithme n'est connu pour résoudre le problème de décodage de codes correcteurs aléatoires en temps polynomial avec un ordinateur quantique.Dans cette thèse, on se concentre plus particulièrement sur la cryptographie basée sur la métrique rang, dans laquelle on étudie des codes correcteurs munis de la métrique rang plutôt que la métrique de Hamming. Cette métrique présente l'avantage de pouvoir construire des cryptosystèmes avec de plus petites tailles de clés, mais est moins mature que la métrique de Hamming. Nous présentons dans un premier temps deux nouveaux algorithmes de décodage en métrique rang : le premier est un algorithme combinatoire permettant de résoudre le problème de décodage dans le cas de codes aléatoires, et permet donc de mieux estimer la complexité des attaques. Le second est une amélioration de l'algorithme de décodage pour les codes Low Rank Parity Check (LRPC). Nous présentons ensuite deux cryptosystèmes basés sur les codes : un schéma de signature en métrique rang, Durandal, qui est une adaptation de l'approche de Schnorr-Lyubashevsky en métrique euclidienne, et une amélioration du schéma de chiffrement Hamming Quasi-Cyclic (HQC) en métrique de Hamming, pour lequel on propose une nouvelle analyse du taux d'échec de déchiffrement et l'utilisation d'une autre famille de codes correcteurs d'erreurs. Nous nous intéressons ensuite à deux adaptations de l'approche de Schnorr-Lyubashevsky, une en métrique de Hamming et l'autre en métrique rang, pour lesquelles on donne des cryptanalyses permettant de retrouver les clés publiques des schémas en utilisant la fuite d'information dans les signatures. Enfin nous présentons les choix effectués pour implémenter les cryptosystèmes en métrique rang dans la bibliothèque Rank-Based Cryptography (RBC).

Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Marc Fossorier and published by Springer. This book was released on 2006-01-13 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 25 revised full papers presented here together with 7 invited papers address subjects such as block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Maria Bras-Amorós and published by Springer. This book was released on 2009-06-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-18, held in Tarragona, Spain, in June 2009. The 22 revised full papers presented together with 7 extended absstracts were carefully reviewed and selected from 50 submissions. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra: algebraic algorithms and transforms; sequences and boolean functions.

Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Marc Fossorier and published by Springer. This book was released on 2003-07-31 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-13, held in Honolulu, Hawaii, USA in November 1999. The 42 revised full papers presented together with six invited survey papers were carefully reviewed and selected from a total of 86 submissions. The papers are organized in sections on codes and iterative decoding, arithmetic, graphs and matrices, block codes, rings and fields, decoding methods, code construction, algebraic curves, cryptography, codes and decoding, convolutional codes, designs, decoding of block codes, modulation and codes, Gröbner bases and AG codes, and polynomials.

Download or read book Applied Algebra Algebraic Algorithms and Error Correcting Codes written by Serdar Boztas and published by Springer Science & Business Media. This book was released on 2007-11-30 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. The 33 revised full papers presented together with 8 invited papers were carefully reviewed and selected from 61 submissions. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra: algebraic algorithms and transforms; sequences and boolean functions.

Download or read book Error Correcting Linear Codes written by Anton Betten and published by Springer Science & Business Media. This book was released on 2006-09-21 with total page 819 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic are developed rigorously. Cyclic codes are discussed in great detail. In the last four chapters these isometry classes are enumerated, and representatives are constructed algorithmically.