Arithmetic Geometry Cryptography And Coding Theory

Author : Gilles Lachaud,Christophe Ritzenthaler,Michael A. Tsfasman
Publisher : American Mathematical Soc.
Page : 219 pages
File Size : 46,8 Mb
Release : 2009-06-11
Category : Mathematics
ISBN : 9780821847169

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Arithmetic, Geometry, Cryptography and Coding Theory by Gilles Lachaud,Christophe Ritzenthaler,Michael A. Tsfasman Pdf

This volume contains the proceedings of the 11th conference on $\mathrm{AGC^{2}T}$, held in Marseille, France in November 2007. There are 12 original research articles covering asymptotic properties of global fields, arithmetic properties of curves and higher dimensional varieties, and applications to codes and cryptography. This volume also contains a survey article on applications of finite fields by J.-P. Serre. $\mathrm{AGC^{2}T}$ conferences take place in Marseille, France every 2 years. These international conferences have been a major event in the area of applied arithmetic geometry for more than 20 years.

Author : Stéphane Ballet,Gaetan Bisson,Irene Bouw
Publisher : American Mathematical Soc.
Page : 303 pages
File Size : 50,6 Mb
Release : 2021-07-01
Category : Education
ISBN : 9781470454265

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Arithmetic, Geometry, Cryptography and Coding Theory by Stéphane Ballet,Gaetan Bisson,Irene Bouw Pdf

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.

Author : David R. Kohel,Robert Rolland
Publisher : American Mathematical Soc.
Page : 178 pages
File Size : 50,9 Mb
Release : 2010
Category : Computers
ISBN : 9780821849552

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Arithmetic, Geometry, Cryptography and Coding Theory 2009 by David R. Kohel,Robert Rolland Pdf

This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-a-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009. The articles contained in this volume come from three related symposia organized by the group Arithmetique et Theorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.

Author : Alp Bassa,Alain Couvreur,David Kohel
Publisher : American Mathematical Soc.
Page : 199 pages
File Size : 42,6 Mb
Release : 2017-03-27
Category : Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Finite ground fields
ISBN : 9781470428105

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Arithmetic, Geometry, Cryptography and Coding Theory by Alp Bassa,Alain Couvreur,David Kohel Pdf

This volume contains the proceedings of the 15th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held at the Centre International de Rencontres Mathématiques in Marseille, France, from May 18–22, 2015. Since the first meeting almost 30 years ago, the biennial AGCT meetings have been one of the main events bringing together researchers interested in explicit aspects of arithmetic geometry and applications to coding theory and cryptography. This volume contains original research articles reflecting recent developments in the field.

Author : Stéphane Ballet,Marc Perret,Alexey I. Zaytsev
Publisher : Unknown
Page : 128 pages
File Size : 43,5 Mb
Release : 2015
Category : Coding theory
ISBN : 1470423391

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Algorithmic Arithmetic, Geometry, and Coding Theory by Stéphane Ballet,Marc Perret,Alexey I. Zaytsev Pdf

Author : Gilles Lachaud,Christophe Ritzenthaler,M. A Tsfasman
Publisher : Unknown
Page : 0 pages
File Size : 48,5 Mb
Release : 2009
Category : Electronic
ISBN : OCLC:1055299459

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Arithmetic, Geometry, Cryptography, and Coding Theory by Gilles Lachaud,Christophe Ritzenthaler,M. A Tsfasman Pdf

Author : Samuele Anni,Valentijn Karemaker,Elisa Lorenzo García
Publisher : American Mathematical Society
Page : 198 pages
File Size : 43,6 Mb
Release : 2022-07-06
Category : Mathematics
ISBN : 9781470467944

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Arithmetic, Geometry, Cryptography, and Coding Theory 2021 by Samuele Anni,Valentijn Karemaker,Elisa Lorenzo García Pdf

This volume contains the proceedings of the 18th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, held (online) from May 31 to June 4, 2021. For over thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers together to forge connections between arithmetic geometry and its applications to coding theory and to cryptography. The papers illustrate the fruitful interaction between abstract theory and explicit computations, covering a large range of topics, including Belyi maps, Galois representations attached to elliptic curves, reconstruction of curves from their Jacobians, isogeny graphs of abelian varieties, hypergeometric equations, and Drinfeld modules.

Author : Yves Aubry,Christophe Ritzenthaler,Alexey Zykin
Publisher : American Mathematical Soc.
Page : 194 pages
File Size : 47,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821875728

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Arithmetic, Geometry, Cryptography and Coding Theory by Yves Aubry,Christophe Ritzenthaler,Alexey Zykin Pdf

This volume contains the proceedings of the 13th $\mathrm{AGC^2T}$ conference, held March 14-18, 2011, in Marseille, France, together with the proceedings of the 2011 Geocrypt conference, held June 19-24, 2011, in Bastia, France. The original research articles contained in this volume cover various topics ranging from algebraic number theory to Diophantine geometry, curves and abelian varieties over finite fields and applications to codes, boolean functions or cryptography. The international conference $\mathrm{AGC^2T}$, which is held every two years in Marseille, France, has been a major event in the area of applied arithmetic geometry for more than 25 years.

Author : Stéphane Ballet,Marc Perret,Alexey Zaytsev
Publisher : American Mathematical Soc.
Page : 306 pages
File Size : 54,5 Mb
Release : 2015-04-20
Category : Coding theory
ISBN : 9781470414610

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Algorithmic Arithmetic, Geometry, and Coding Theory by Stéphane Ballet,Marc Perret,Alexey Zaytsev Pdf

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.

Author : Harald Niederreiter,Chaoping Xing
Publisher : Princeton University Press
Page : 272 pages
File Size : 55,7 Mb
Release : 2009-09-21
Category : Mathematics
ISBN : 9781400831302

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Algebraic Geometry in Coding Theory and Cryptography by Harald Niederreiter,Chaoping Xing Pdf

This textbook equips graduate students and advanced undergraduates with the necessary theoretical tools for applying algebraic geometry to information theory, and it covers primary applications in coding theory and cryptography. Harald Niederreiter and Chaoping Xing provide the first detailed discussion of the interplay between nonsingular projective curves and algebraic function fields over finite fields. This interplay is fundamental to research in the field today, yet until now no other textbook has featured complete proofs of it. Niederreiter and Xing cover classical applications like algebraic-geometry codes and elliptic-curve cryptosystems as well as material not treated by other books, including function-field codes, digital nets, code-based public-key cryptosystems, and frameproof codes. Combining a systematic development of theory with a broad selection of real-world applications, this is the most comprehensive yet accessible introduction to the field available. Introduces graduate students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory Provides the first detailed discussion of the interplay between projective curves and algebraic function fields over finite fields Includes applications to coding theory and cryptography Covers the latest advances in algebraic-geometry codes Features applications to cryptography not treated in other books

Author : R. Pellikaan,M. Perret,S.G. Vladut
Publisher : Walter de Gruyter
Page : 301 pages
File Size : 48,9 Mb
Release : 2011-07-20
Category : Mathematics
ISBN : 9783110811056

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Arithmetic, Geometry, and Coding Theory by R. Pellikaan,M. Perret,S.G. Vladut Pdf

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.

Author : Yves Aubry,Everett W. Howe,Christophe Ritzenthaler
Publisher : American Mathematical Soc.
Page : 175 pages
File Size : 50,5 Mb
Release : 2019-01-11
Category : Coding theory
ISBN : 9781470442125

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Arithmetic Geometry: Computation and Applications by Yves Aubry,Everett W. Howe,Christophe Ritzenthaler Pdf

For thirty years, the biennial international conference AGC T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers to Marseille to build connections between arithmetic geometry and its applications, originally highlighting coding theory but more recently including cryptography and other areas as well. This volume contains the proceedings of the 16th international conference, held from June 19–23, 2017. The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer–Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves. Despite the varied topics, the papers share a common thread: the beautiful interplay between abstract theory and explicit results.

Author : Everett W. Howe,Kristin E. Lauter,Judy L. Walker
Publisher : Springer
Page : 150 pages
File Size : 48,9 Mb
Release : 2017-11-15
Category : Mathematics
ISBN : 9783319639314

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Algebraic Geometry for Coding Theory and Cryptography by Everett W. Howe,Kristin E. Lauter,Judy L. Walker Pdf

Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM). The conference gathered research communities across disciplines to share ideas and problems in their fields and formed small research groups made up of graduate students, postdoctoral researchers, junior faculty, and group leaders who designed and led the projects. Peer reviewed and revised, each of this volume's five papers achieves the conference’s goal of using algebraic geometry to address a problem in either coding theory or cryptography. Proposed variants of the McEliece cryptosystem based on different constructions of codes, constructions of locally recoverable codes from algebraic curves and surfaces, and algebraic approaches to the multicast network coding problem are only some of the topics covered in this volume. Researchers and graduate-level students interested in the interactions between algebraic geometry and both coding theory and cryptography will find this volume valuable.

Author : Alp Bassa,Alain Couvreur,David R. Kohel
Publisher : Unknown
Page : 210 pages
File Size : 43,7 Mb
Release : 2012
Category : MATHEMATICS
ISBN : 1470437457

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Arithmetic, Geometry, Cryptography, and Coding Theory by Alp Bassa,Alain Couvreur,David R. Kohel Pdf

This volume contains the proceedings of the 15th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held at the Centre International de Rencontres Mathématiques in Marseille, France, from May 18-22, 2015. Since the first meeting almost 30 years ago, the biennial AGCT meetings have been one of the main events bringing together researchers interested in explicit aspects of arithmetic geometry and applications to coding theory and cryptography. This volume contains original research articles reflecting recent developments in the field

Author : Samuele Anni,Valentijn Karemaker,Elisa Lorenzo García
Publisher : Unknown
Page : 0 pages
File Size : 41,9 Mb
Release : 2022
Category : Coding theory
ISBN : 1470470896

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Arithmetic, Geometry, Cryptography and Coding Theory 2021 by Samuele Anni,Valentijn Karemaker,Elisa Lorenzo García Pdf

This volume contains the proceedings of the 18th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, held (online) from May 31 to June 4, 2021. For over thirty years, the biennial international conference AGC^2T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers together to forge connections between arithmetic geometry and its applications to coding theory and to cryptography. The papers illustrate the fruitful interaction between abstract theory and explicit computations, covering a large range of topics, including Belyi maps, Galois r.