Algebraic Geometry And Its Applications: Dedicated To Gilles Lachaud On His 60th Birthday - Proceedings Of The First Saga Conference

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Publisher : World Scientific
ISBN 13 : 9814471666
Total Pages : 530 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Algebraic Geometry And Its Applications: Dedicated To Gilles Lachaud On His 60th Birthday - Proceedings Of The First Saga Conference by : Robert Rolland

Download or read book Algebraic Geometry And Its Applications: Dedicated To Gilles Lachaud On His 60th Birthday - Proceedings Of The First Saga Conference written by Robert Rolland and published by World Scientific. This book was released on 2008-04-17 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applications of algebraic geometry.

Boolean Functions for Cryptography and Coding Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108473806
Total Pages : 577 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Boolean Functions for Cryptography and Coding Theory by : Claude Carlet

Download or read book Boolean Functions for Cryptography and Coding Theory written by Claude Carlet and published by Cambridge University Press. This book was released on 2021-01-07 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete, accessible book on single and multiple output Boolean functions in cryptography and coding, with recent applications and problems.

Algebraic Geometry and Its Applications

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Publisher : World Scientific
ISBN 13 : 9812793437
Total Pages : 530 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Algebraic Geometry and Its Applications by : Jean Chaumine

Download or read book Algebraic Geometry and Its Applications written by Jean Chaumine and published by World Scientific. This book was released on 2008 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre''s questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applications of algebraic geometry. Sample Chapter(s). Chapter 1: Fast addition on non-hyperelliptic genus 3 curves (424 KB). Contents: Symmetric Cryptography and Algebraic Curves (F Voloch); Galois Invariant Smoothness Basis (J-M Couveignes & R Lercier); Fuzzy Pairing-Based CL-PKC (M Kiviharju); On the Semiprimitivity of Cyclic Codes (Y Aubry & P Langevin); Decoding of Scroll Codes (G H Hitching & T Johnsen); An Optimal Unramified Tower of Function Fields (K Brander); On the Number of Resilient Boolean Functions (S Mesnager); On Quadratic Extensions of Cyclic Projective Planes (H F Law & P P W Wong); Partitions of Vector Spaces over Finite Fields (Y Zelenyuk); and other papers. Readership: Mathematicians, researchers in mathematics (academic and industry R&D).

Introduction to Public Key Infrastructures

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Publisher : Springer Science & Business Media
ISBN 13 : 3642406572
Total Pages : 206 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Introduction to Public Key Infrastructures by : Johannes A. Buchmann

Download or read book Introduction to Public Key Infrastructures written by Johannes A. Buchmann and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The introduction of public key cryptography (PKC) was a critical advance in IT security. In contrast to symmetric key cryptography, it enables confidential communication between entities in open networks, in particular the Internet, without prior contact. Beyond this PKC also enables protection techniques that have no analogue in traditional cryptography, most importantly digital signatures which for example support Internet security by authenticating software downloads and updates. Although PKC does not require the confidential exchange of secret keys, proper management of the private and public keys used in PKC is still of vital importance: the private keys must remain private, and the public keys must be verifiably authentic. So understanding so-called public key infrastructures (PKIs) that manage key pairs is at least as important as studying the ingenious mathematical ideas underlying PKC. In this book the authors explain the most important concepts underlying PKIs and discuss relevant standards, implementations, and applications. The book is structured into chapters on the motivation for PKI, certificates, trust models, private keys, revocation, validity models, certification service providers, certificate policies, certification paths, and practical aspects of PKI. This is a suitable textbook for advanced undergraduate and graduate courses in computer science, mathematics, engineering, and related disciplines, complementing introductory courses on cryptography. The authors assume only basic computer science prerequisites, and they include exercises in all chapters and solutions in an appendix. They also include detailed pointers to relevant standards and implementation guidelines, so the book is also appropriate for self-study and reference by industrial and academic researchers and practitioners.

The Development of the Number Field Sieve

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Publisher : Springer
ISBN 13 : 3540478922
Total Pages : 138 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis The Development of the Number Field Sieve by : Arjen K. Lenstra

Download or read book The Development of the Number Field Sieve written by Arjen K. Lenstra and published by Springer. This book was released on 2006-11-15 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.

Ergodic Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461569273
Total Pages : 487 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Ergodic Theory by : I. P. Cornfeld

Download or read book Ergodic Theory written by I. P. Cornfeld and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. " It includes the construc tion of direct and skew products of dynamical systems, the Rohlin-Halmos lemma, and the theory of special representations of dynamical systems with continuous time. A considerable part deals with entropy.

Chaos-based Cryptography

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Publisher : Springer Science & Business Media
ISBN 13 : 3642205410
Total Pages : 400 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Chaos-based Cryptography by : Ljupco Kocarev

Download or read book Chaos-based Cryptography written by Ljupco Kocarev and published by Springer Science & Business Media. This book was released on 2011-06-17 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos-based cryptography, attracting many researchers in the past decade, is a research field across two fields, i.e., chaos (nonlinear dynamic system) and cryptography (computer and data security). It Chaos' properties, such as randomness and ergodicity, have been proved to be suitable for designing the means for data protection. The book gives a thorough description of chaos-based cryptography, which consists of chaos basic theory, chaos properties suitable for cryptography, chaos-based cryptographic techniques, and various secure applications based on chaos. Additionally, it covers both the latest research results and some open issues or hot topics. The book creates a collection of high-quality chapters contributed by leading experts in the related fields. It embraces a wide variety of aspects of the related subject areas and provide a scientifically and scholarly sound treatment of state-of-the-art techniques to students, researchers, academics, personnel of law enforcement and IT practitioners who are interested or involved in the study, research, use, design and development of techniques related to chaos-based cryptography.

Integration in Finite Terms

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Publisher :
ISBN 13 : 9780231915960
Total Pages : 0 pages
Book Rating : 4.9/5 (159 download)

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Book Synopsis Integration in Finite Terms by : Joseph Fels Ritt

Download or read book Integration in Finite Terms written by Joseph Fels Ritt and published by . This book was released on 1948 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an account of Liouville's theory of integration in finite terms -- his determination of the form which the integral of an algebraic function must have when the integral can be expressed with the operations of elementary mathematical analysis, carried out a finite number of times -- and the work of some of his followers.

Elliptic Curve Public Key Cryptosystems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461531985
Total Pages : 139 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Elliptic Curve Public Key Cryptosystems by : Alfred J. Menezes

Download or read book Elliptic Curve Public Key Cryptosystems written by Alfred J. Menezes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic curves have been intensively studied in algebraic geometry and number theory. In recent years they have been used in devising efficient algorithms for factoring integers and primality proving, and in the construction of public key cryptosystems. Elliptic Curve Public Key Cryptosystems provides an up-to-date and self-contained treatment of elliptic curve-based public key cryptology. Elliptic curve cryptosystems potentially provide equivalent security to the existing public key schemes, but with shorter key lengths. Having short key lengths means smaller bandwidth and memory requirements and can be a crucial factor in some applications, for example the design of smart card systems. The book examines various issues which arise in the secure and efficient implementation of elliptic curve systems. Elliptic Curve Public Key Cryptosystems is a valuable reference resource for researchers in academia, government and industry who are concerned with issues of data security. Because of the comprehensive treatment, the book is also suitable for use as a text for advanced courses on the subject.

Arithmetic Theory of Elliptic Curves

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540665465
Total Pages : 276 pages
Book Rating : 4.6/5 (654 download)

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Book Synopsis Arithmetic Theory of Elliptic Curves by : J. Coates

Download or read book Arithmetic Theory of Elliptic Curves written by J. Coates and published by Springer Science & Business Media. This book was released on 1999-10-19 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.

The Integration of Functions of a Single Variable

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Publisher :
ISBN 13 : 9781074116385
Total Pages : 78 pages
Book Rating : 4.1/5 (163 download)

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Book Synopsis The Integration of Functions of a Single Variable by : G H Hardy

Download or read book The Integration of Functions of a Single Variable written by G H Hardy and published by . This book was released on 2019-06-15 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the PREFACETHIS tract has been long out of print, and there is still some demand for it. I did not publish a second edition before, because I intended to incorporate its contents in a larger treatise on the subject which I had arranged to write in collaboration with Dr. Bromwich. Four or five years have passed, and it seems very doubtful whether either of us will ever find the time to carry out our intention. I have therefore decided to republish the tract.The new edition differs from the first in one important point only. In the first edition I reproduced a proof of Abel's which Mr. J. E. Littlewood afterwards discovered to be invalid. The correction of this error has led me to rewrite a few sections (pp. 36-41 of the present edition) completely. The proof which I give now is due to Mr. H. T. J. Norton. I am also indebted to Mr. Norton, and to Mr. S. Pollard, for many other criticisms of a less important character.--G. H. H

Algebra Part 2 (Speedy Study Guides)

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Publisher : Speedy Publishing LLC
ISBN 13 : 1633839796
Total Pages : 6 pages
Book Rating : 4.6/5 (338 download)

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Book Synopsis Algebra Part 2 (Speedy Study Guides) by : Speedy Publishing

Download or read book Algebra Part 2 (Speedy Study Guides) written by Speedy Publishing and published by Speedy Publishing LLC. This book was released on 2014-06-17 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not everyone has a knack for Mathematics and several people simply give up when the teacher begins adding letters into the equations. However, there are actually some solid uses for Algebra 2 other than keeping headache medicine manufacturers in business. Building on the ideas and core concepts learned in basic Algebra, the intermediate Algebra 2 introduces abstract thinking. Students learn how to identify likenesses and evaluate equations based on their characteristics. This information is useful for higher mathematical pursuits and is also helpful for general life. The analytic approach to problem solving is essential in both employment situations and personal relationships.

The History Assignment

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Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis The History Assignment by : Burr W. Phillips

Download or read book The History Assignment written by Burr W. Phillips and published by . This book was released on 1926 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Collected Papers

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Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Collected Papers by : Sir Adolphus William Ward

Download or read book Collected Papers written by Sir Adolphus William Ward and published by . This book was released on 1921 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ten Great Events in History

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Publisher : The Floating Press
ISBN 13 : 187752722X
Total Pages : 328 pages
Book Rating : 4.8/5 (775 download)

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Book Synopsis Ten Great Events in History by : James Johonnot

Download or read book Ten Great Events in History written by James Johonnot and published by The Floating Press. This book was released on 2009-01-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: History buffs love to immerse themselves in the details of past eras. But sometimes, one can get bogged down in the minutia of times gone by and fail to grasp the significance of the bigger picture. This volume from historian James Johonnot is the antidote to overly compartmentalized history texts, offering a broad perspective on the major events that coalesced to shape the world we live in.

Freaks of Fanaticism and Other Strange Events

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Freaks of Fanaticism and Other Strange Events by : Sabine Baring-Gould

Download or read book Freaks of Fanaticism and Other Strange Events written by Sabine Baring-Gould and published by . This book was released on 1891 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Secrets of the Past

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ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Secrets of the Past by : Allen Upward

Download or read book Secrets of the Past written by Allen Upward and published by . This book was released on 1910 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: