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 Development of Mathematics 1950 2000 written by Jean-Paul Pier and published by Springer Science & Business Media. This book was released on 2000-09 with total page 1400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book not only attempts a history of contemporary mathematics, but also provides some authoritative guidance through the maze of mathematical theories. It addresses a range of topics from the personal viewpoint of more than forty mathematicians, most of them active researchers and renowned specialists in their fields.
Download or read book Arithm tique et cryptologie written by Gilles Bailly-Maitre and published by . This book was released on 2021-01-05 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cryptography and Lattices written by Joseph H. Silverman and published by Springer. This book was released on 2003-06-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
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.
Download or read book Bulletin de la Soci t royale des sciences de Li ge written by Société royale des sciences de Liège and published by . This book was released on 2002 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Arithm tique et cryptologie written by Gilles Bailly-Maitre and published by Ellipses Marketing. This book was released on 2012-10-02 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage propose au lecteur d’acquérir de solides connaissances en algèbre commutative et en arithmétique avec, comme point de mire, la compréhension des méthodes de cryptologie contemporaine. Contenant de nombreux exercices corrigés, il sera utile aux étudiants scientifiques dès la première année d’études supérieures.
Download or read book An Algorithmic Theory of Numbers Graphs and Convexity written by Laszlo Lovasz and published by SIAM. This book was released on 1987-01-01 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies two algorithms in detail: the ellipsoid method and the simultaneous diophantine approximation method.
Download or read book Ants XIV written by Steven Galbraith and published by . This book was released on 2020-12-29 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Algorithmic Number Theory Symposium (ANTS), held biennially since 1994, is the premier international forum for research in computational and algorithmic number theory. ANTS is devoted to algorithmic aspects of number theory, including elementary, algebraic, and analytic number theory, the geometry of numbers, arithmetic algebraic geometry, the theory of finite fields, and cryptography.This volume is the proceedings of the fourteenth ANTS meeting, which took place 29 June to 4 July 2020 via video conference, the plans for holding it at the University of Auckland, New Zealand, having been disrupted by the COVID-19 pandemic. The volume contains revised and edited versions of 24 refereed papers and one invited paper presented at the conference.
Download or read book An Invitation to Web Geometry written by Jorge Vitório Pereira and published by Springer. This book was released on 2015-02-23 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern’s bound and Trépreau’s algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.
Download or read book Guide to Pairing Based Cryptography written by Nadia El Mrabet and published by CRC Press. This book was released on 2017-01-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes. As well as exploring the basic mathematical background of finite fields and elliptic curves, Guide to Pairing-Based Cryptography offers an overview of the most recent developments in optimizations for pairing implementation. Each chapter includes a presentation of the problem it discusses, the mathematical formulation, a discussion of implementation issues, solutions accompanied by code or pseudocode, several numerical results, and references to further reading and notes. Intended as a self-contained handbook, this book is an invaluable resource for computer scientists, applied mathematicians and security professionals interested in cryptography.
Download or read book Cryptology and Computational Number Theory written by Carl Pomerance and published by American Mathematical Soc.. This book was released on 1990 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past dozen or so years, cryptology and computational number theory have become increasingly intertwined. Because the primary cryptologic application of number theory is the apparent intractability of certain computations, these two fields could part in the future and again go their separate ways. But for now, their union is continuing to bring ferment and rapid change in both subjects. This book contains the proceedings of an AMS Short Course in Cryptology and Computational Number Theory, held in August 1989 during the Joint Mathematics Meetings in Boulder, Colorado. These eight papers by six of the top experts in the field will provide readers with a thorough introduction to some of the principal advances in cryptology and computational number theory over the past fifteen years. In addition to an extensive introductory article, the book contains articles on primality testing, discrete logarithms, integer factoring, knapsack cryptosystems, pseudorandom number generators, the theoretical underpinnings of cryptology, and other number theory-based cryptosystems. Requiring only background in elementary number theory, this book is aimed at nonexperts, including graduate students and advanced undergraduates in mathematics and computer science.
Download or read book written by and published by . This book was released on 2007 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: 本书内容包括素数、无理数、同余、费马定理、连分数、不定方程、二次域、算术函数、分化等。
Download or read book Fault Analysis in Cryptography written by Marc Joye and published by Springer Science & Business Media. This book was released on 2012-06-21 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1970s researchers noticed that radioactive particles produced by elements naturally present in packaging material could cause bits to flip in sensitive areas of electronic chips. Research into the effect of cosmic rays on semiconductors, an area of particular interest in the aerospace industry, led to methods of hardening electronic devices designed for harsh environments. Ultimately various mechanisms for fault creation and propagation were discovered, and in particular it was noted that many cryptographic algorithms succumb to so-called fault attacks. Preventing fault attacks without sacrificing performance is nontrivial and this is the subject of this book. Part I deals with side-channel analysis and its relevance to fault attacks. The chapters in Part II cover fault analysis in secret key cryptography, with chapters on block ciphers, fault analysis of DES and AES, countermeasures for symmetric-key ciphers, and countermeasures against attacks on AES. Part III deals with fault analysis in public key cryptography, with chapters dedicated to classical RSA and RSA-CRT implementations, elliptic curve cryptosystems and countermeasures using fault detection, devices resilient to fault injection attacks, lattice-based fault attacks on signatures, and fault attacks on pairing-based cryptography. Part IV examines fault attacks on stream ciphers and how faults interact with countermeasures used to prevent power analysis attacks. Finally, Part V contains chapters that explain how fault attacks are implemented, with chapters on fault injection technologies for microprocessors, and fault injection and key retrieval experiments on a widely used evaluation board. This is the first book on this topic and will be of interest to researchers and practitioners engaged with cryptographic engineering.
Download or read book Nieuw Archief Voor Wiskunde written by and published by . This book was released on 2002 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
