Arithmetic Geometry Cryptography And Coding Theory

Author : Gilles Lachaud
Publisher : American Mathematical Soc.
ISBN 13 : 0821847163
Total Pages : 219 pages
Book Rating : 4.69/5 ( download)

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Download or read book Arithmetic, Geometry, Cryptography and Coding Theory written by Gilles Lachaud and published by American Mathematical Soc.. This book was released on 2009-06-11 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : American Mathematical Soc.
ISBN 13 : 1470454262
Total Pages : 303 pages
Book Rating : 4.65/5 ( download)

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Download or read book Arithmetic, Geometry, Cryptography and Coding Theory written by Stéphane Ballet and published by American Mathematical Soc.. This book was released on 2021-07-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : American Mathematical Soc.
ISBN 13 : 0821849557
Total Pages : 178 pages
Book Rating : 4.52/5 ( download)

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Download or read book Arithmetic, Geometry, Cryptography and Coding Theory 2009 written by David R. Kohel and published by American Mathematical Soc.. This book was released on 2010 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Gilles Lachaud
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.59/5 ( download)

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Download or read book Arithmetic, Geometry, Cryptography, and Coding Theory written by Gilles Lachaud and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Alp Bassa
Publisher : American Mathematical Soc.
ISBN 13 : 1470428105
Total Pages : 199 pages
Book Rating : 4.05/5 ( download)

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Download or read book Arithmetic, Geometry, Cryptography and Coding Theory written by Alp Bassa and published by American Mathematical Soc.. This book was released on 2017-03-27 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Yves Aubry
Publisher : American Mathematical Soc.
ISBN 13 : 0821875728
Total Pages : 194 pages
Book Rating : 4.28/5 ( download)

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Download or read book Arithmetic, Geometry, Cryptography and Coding Theory written by Yves Aubry and published by American Mathematical Soc.. This book was released on 2012 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Samuele Anni
Publisher : American Mathematical Society
ISBN 13 : 1470467941
Total Pages : 198 pages
Book Rating : 4.44/5 ( download)

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Download or read book Arithmetic, Geometry, Cryptography, and Coding Theory 2021 written by Samuele Anni and published by American Mathematical Society. This book was released on 2022-07-06 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Stéphane Ballet
Publisher :
ISBN 13 : 9781470423391
Total Pages : pages
Book Rating : 4.91/5 ( download)

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Download or read book Algorithmic Arithmetic, Geometry, and Coding Theory written by Stéphane Ballet and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Stéphane Ballet
Publisher : American Mathematical Soc.
ISBN 13 : 1470414619
Total Pages : 316 pages
Book Rating : 4.10/5 ( download)

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Download or read book Algorithmic Arithmetic, Geometry, and Coding Theory written by Stéphane Ballet and published by American Mathematical Soc.. This book was released on 2015-04-20 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Princeton University Press
ISBN 13 : 140083130X
Total Pages : 272 pages
Book Rating : 4.02/5 ( download)

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Download or read book Algebraic Geometry in Coding Theory and Cryptography written by Harald Niederreiter and published by Princeton University Press. This book was released on 2009-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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