Algorithmic Arithmetic, Geometry, and Coding Theory
Author: Stéphane Ballet
Publisher:
Published: 2015
Total Pages:
ISBN-13: 9781470423391
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Algorithmic Arithmetic, Geometry, and Coding Theory
Author: Stéphane Ballet
Publisher: American Mathematical Soc.
Published: 2015-04-20
Total Pages: 316
ISBN-13: 1470414619
DOWNLOAD EBOOKThis 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
Author: Stéphane Ballet
Publisher: American Mathematical Soc.
Published: 2021-07-01
Total Pages: 303
ISBN-13: 1470454262
DOWNLOAD EBOOKThis 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
Author: R. Pellikaan
Publisher: Walter de Gruyter
Published: 2011-07-20
Total Pages: 301
ISBN-13: 3110811057
DOWNLOAD EBOOKThe 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, Cryptography and Coding Theory
Author: Gilles Lachaud
Publisher: American Mathematical Soc.
Published: 2009-06-11
Total Pages: 219
ISBN-13: 0821847163
DOWNLOAD EBOOKThis 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.
Arithmetic, Geometry, Cryptography and Coding Theory 2009
Author: David R. Kohel
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 178
ISBN-13: 0821849557
DOWNLOAD EBOOKThis 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.
Applications of Algebraic Geometry to Coding Theory, Physics and Computation
Author: Ciro Ciliberto
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 343
ISBN-13: 9401010110
DOWNLOAD EBOOKAn 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 2021
Author: Samuele Anni
Publisher: American Mathematical Society
Published: 2022-07-06
Total Pages: 198
ISBN-13: 1470467941
DOWNLOAD EBOOKThis 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.
Arithmetic, Geometry and Coding Theory
Author: Yves Aubry
Publisher: Société Mathématique de France
Published: 2005
Total Pages: 240
ISBN-13:
DOWNLOAD EBOOKIn 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.
Coding Theory and Algebraic Geometry
Author: Henning Stichtenoth
Publisher: Springer
Published: 2006-11-15
Total Pages: 235
ISBN-13: 3540472673
DOWNLOAD EBOOKAbout 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.
