Algorithmic Arithmetic Geometry And Coding Theory


Algorithmic Arithmetic Geometry And Coding Theory
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Algorithmic Arithmetic Geometry And Coding Theory


Algorithmic Arithmetic Geometry And Coding Theory
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Author : Stéphane Ballet
language : en
Publisher:
Release Date : 2015

Algorithmic Arithmetic Geometry And Coding Theory written by Stéphane Ballet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Coding theory categories.




Algorithmic Arithmetic Geometry And Coding Theory


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 Coding theory 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


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.



Arithmetic Geometry And Coding Theory


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.



Applications Of Algebraic Geometry To Coding Theory Physics And Computation


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 : 2012-12-06

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 2012-12-06 with Mathematics categories.


An up-to-date report on the current status of important research topics in algebraic geometry and its applications, such as computational algebra and geometry, singularity theory algorithms, numerical solutions of polynomial systems, coding theory, communication networks, and computer vision. Contributions on more fundamental aspects of algebraic geometry include expositions related to counting points on varieties over finite fields, Mori theory, linear systems, Abelian varieties, vector bundles on singular curves, degenerations of surfaces, and mirror symmetry of Calabi-Yau manifolds.



Arithmetic Geometry Cryptography And Coding Theory 2009


Arithmetic Geometry Cryptography And Coding Theory 2009
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Author : David R. Kohel
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Arithmetic Geometry Cryptography And Coding Theory 2009 written by David R. Kohel 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 2010 with Computers categories.


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.



Arithmetic Geometry Cryptography And Coding Theory


Arithmetic Geometry Cryptography And Coding Theory
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Author : Alp Bassa
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-03-27

Arithmetic Geometry Cryptography And Coding Theory written by Alp Bassa 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 2017-03-27 with Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Finite ground fields categories.


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.



Coding Theory And Algebraic Geometry


Coding Theory And Algebraic Geometry
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Author : Henning Stichtenoth
language : en
Publisher: Springer
Release Date : 2006-11-15

Coding Theory And Algebraic Geometry written by Henning Stichtenoth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.


About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. The proceedings contain research papers on several aspects of the theory, among them: Codes constructed from special curves and from higher-dimensional varieties, Decoding of algebraic geometric codes, Trace codes, Exponen- tial sums, Fast multiplication in finite fields, Asymptotic number of points on algebraic curves, Sphere packings.



Arithmetic Geometry Cryptography And Coding Theory


Arithmetic Geometry Cryptography And Coding Theory
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Author : Yves Aubry
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Arithmetic Geometry Cryptography And Coding Theory written by Yves Aubry 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 2012 with Mathematics categories.


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.



Arithmetic Geometry Computation And Applications


Arithmetic Geometry Computation And Applications
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Author : Yves Aubry
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-01-11

Arithmetic Geometry Computation And Applications written by Yves Aubry 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 2019-01-11 with Coding theory categories.


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.