Algorithmic Arithmetic Geometry And Coding Theory
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Algorithmic Arithmetic Geometry And Coding Theory
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Author : Stéphane Ballet
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-04-20
Algorithmic Arithmetic Geometry And Coding Theory written by Stéphane Ballet and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-20 with Computers categories.
This volume contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held June 3-7, 2013, at CIRM, Marseille, France. These international conferences, held every two years, have been a major event in the area of algorithmic and applied arithmetic geometry for more than 20 years. This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties. Tools used in these articles include classical algebraic geometry of curves, varieties and Jacobians, Suslin homology, Monsky-Washnitzer cohomology, and -functions of modular forms.
Arithmetic Geometry Cryptography And Coding Theory
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Author : Stéphane Ballet
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-07-01
Arithmetic Geometry Cryptography And Coding Theory written by Stéphane Ballet and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-01 with Education categories.
This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.
Applications Of Algebraic Geometry To Coding Theory Physics And Computation
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Author : Ciro Ciliberto
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-08-31
Applications Of Algebraic Geometry To Coding Theory Physics And Computation written by Ciro Ciliberto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-08-31 with Computers categories.
Proceedings of the NATO Advanced Research Workshop, held in Eilat, Israel, from 25th February to 1st March 2001
Arithmetic Geometry And Coding Theory
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Author : R. Pellikaan
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-20
Arithmetic Geometry And Coding Theory written by R. Pellikaan and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-20 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Arithmetic Geometry And Coding Theory
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Author : Yves Aubry
language : en
Publisher: Société Mathématique de France
Release Date : 2005
Arithmetic Geometry And Coding Theory written by Yves Aubry and has been published by Société Mathématique de France this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Coding theory categories.
In May 2003, two events were held in the CIRM (Marseille-Luminy) devoted to arithmetic, geometry and their applications in coding theory and cryptography: a European school ``Algebraic Geometry and Information Theory'' and the 9th international conference ``Arithmetic, Geometry and Coding Theory''. Some of the courses of the conferences are published in this volume. Topics covered include: Abelian varieties, function fields and curves over finite fields, Galois group of pro-$p$-extensions, Dedekind zeta functions of number fields, numerical semigroups, Waring numbers, bilinear complexity of the multiplication in finite fields and class number problems.
Arithmetic Geometry And Coding Theory
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Author : Ruud Pellikaan
language : en
Publisher: de Gruyter
Release Date : 1996
Arithmetic Geometry And Coding Theory written by Ruud Pellikaan and has been published by de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Computers categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Applied Algebra Algebraic Algorithms And Error Correcting Codes
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Author : Marc Fossorier
language : en
Publisher: Springer
Release Date : 2003-08-03
Applied Algebra Algebraic Algorithms And Error Correcting Codes written by Marc Fossorier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-03 with Mathematics categories.
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.
Arithmetic Of Finite Fields
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Author : Sihem Mesnager
language : en
Publisher: Springer Nature
Release Date : 2023-01-10
Arithmetic Of Finite Fields written by Sihem Mesnager and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-10 with Computers categories.
This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022. The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.
Computational And Algorithmic Problems In Finite Fields
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Author : Igor Shparlinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational And Algorithmic Problems In Finite Fields written by Igor Shparlinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume presents an exhaustive treatment of computation and algorithms for finite fields. Topics covered include polynomial factorization, finding irreducible and primitive polynomials, distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types, and new applications of finite fields to other araes of mathematics. For completeness, also included are two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number generators, modular arithmetic etc.), and computational number theory (primality testing, factoring integers, computing in algebraic number theory, etc.) The problems considered here have many applications in computer science, coding theory, cryptography, number theory and discrete mathematics. The level of discussion presuppose only a knowledge of the basic facts on finite fields, and the book can be recommended as supplementary graduate text. For researchers and students interested in computational and algorithmic problems in finite fields.
Algebraic Geometric Codes Basic Notions
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Author : Michael Tsfasman
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-15
Algebraic Geometric Codes Basic Notions written by Michael Tsfasman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-15 with Mathematics categories.
The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries, dense packings, etc. The authors give a unique perspective on the subject. Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almost always finishing without reaching a certain depth, this book constantly looks for interpretations that connect coding theory to algebraic geometry and number theory. There are no prerequisites other than a standard algebra graduate course. The first two chapters of the book can serve as an introduction to coding theory and algebraic geometry respectively. Special attention is given to the geometry of curves over finite fields in the third chapter. Finally, in the last chapter the authors explain relations between all of these: the theory of algebraic geometric codes.