Arithmetic, Geometry, Cryptography, and Coding Theory 2021

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Publisher : American Mathematical Society
ISBN 13 : 1470467941
Total Pages : 198 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Arithmetic, Geometry, Cryptography, and Coding Theory 2021 by : Samuele Anni

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.

Arithmetic, Geometry, Cryptography and Coding Theory 2021

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ISBN 13 : 9781470470890
Total Pages : 0 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory 2021 by : Samuele Anni

Download or read book Arithmetic, Geometry, Cryptography and Coding Theory 2021 written by Samuele Anni and published by . This book was released on 2022 with total page 0 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^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.

Arithmetic, Geometry, Cryptography and Coding Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470454262
Total Pages : 303 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory by : Stéphane Ballet

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.

Arithmetic, Geometry, Cryptography and Coding Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847163
Total Pages : 219 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory by : Gilles Lachaud

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.

Arithmetic, Geometry, Cryptography, and Coding Theory

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (15 download)

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Book Synopsis Arithmetic, Geometry, Cryptography, and Coding Theory by : Gilles Lachaud

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:

Arithmetic, Geometry, Cryptography and Coding Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470428105
Total Pages : 199 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory by : Alp Bassa

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.

Algebraic Geometry in Coding Theory and Cryptography

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Publisher : Princeton University Press
ISBN 13 : 140083130X
Total Pages : 272 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Algebraic Geometry in Coding Theory and Cryptography by : Harald Niederreiter

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

Arithmetic, Geometry, Cryptography and Coding Theory 2009

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849557
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory 2009 by : David R. Kohel

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.

Algorithmic Arithmetic, Geometry, and Coding Theory

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Publisher :
ISBN 13 : 9781470423391
Total Pages : pages
Book Rating : 4.4/5 (233 download)

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Book Synopsis Algorithmic Arithmetic, Geometry, and Coding Theory by : Stéphane Ballet

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:

Algebra and Coding Theory

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Publisher : American Mathematical Society
ISBN 13 : 147046859X
Total Pages : 270 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebra and Coding Theory by : A. Leroy

Download or read book Algebra and Coding Theory written by A. Leroy and published by American Mathematical Society. This book was released on 2023-05-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, in honor of Tariq Rizvi, held from July 5–7, 2021, and the Virtual Conference on Quadratic Forms, Rings and Codes, held on July 8, 2021, both of which were hosted by the Université d'Artois, Lens, France. The articles cover topics in commutative and noncommutative algebra and applications to coding theory. In some papers, applications of Frobenius rings, the skew group rings, and iterated Ore extensions to coding theory are discussed. Other papers discuss classical topics, such as Utumi rings, Baer rings, nil and nilpotent algebras, and Brauer groups. Still other articles are devoted to various aspects of the elementwise study for rings and modules. Lastly, this volume includes papers dealing with questions in homological algebra and lattice theory. The articles in this volume show the vivacity of the research of noncommutative rings and its influence on other subjects.

Arithmetic, Geometry, Cryptography and Coding Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821875728
Total Pages : 194 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Arithmetic, Geometry, Cryptography and Coding Theory by : Yves Aubry

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.

Algorithmic Arithmetic, Geometry, and Coding Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470414619
Total Pages : 306 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algorithmic Arithmetic, Geometry, and Coding Theory by : Stéphane Ballet

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 306 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.

Arithmetic, Geometry, Cryptography, and Coding Theory

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Publisher :
ISBN 13 : 9781470437459
Total Pages : 210 pages
Book Rating : 4.4/5 (374 download)

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Book Synopsis Arithmetic, Geometry, Cryptography, and Coding Theory by : Alp Bassa

Download or read book Arithmetic, Geometry, Cryptography, and Coding Theory written by Alp Bassa and published by . This book was released on 2012 with total page 210 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

Hypergeometry, Integrability and Lie Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470465205
Total Pages : 362 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Hypergeometry, Integrability and Lie Theory by : Erik Koelink

Download or read book Hypergeometry, Integrability and Lie Theory written by Erik Koelink and published by American Mathematical Soc.. This book was released on 2022-08-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the virtual conference on Hypergeometry, Integrability and Lie Theory, held from December 7–11, 2020, which was dedicated to the 50th birthday of Jasper Stokman. The papers represent recent developments in the areas of representation theory, quantum integrable systems and special functions of hypergeometric type.

Mathematical Modelling

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Publisher : American Mathematical Society
ISBN 13 : 1470469650
Total Pages : 174 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Modelling by : Hemen Dutta

Download or read book Mathematical Modelling written by Hemen Dutta and published by American Mathematical Society. This book was released on 2023-07-07 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas. The companion volume (Contemporary Mathematics, Volume 786) is devoted to principle and theory.

Algebraic Geometry for Coding Theory and Cryptography

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Publisher : Springer
ISBN 13 : 3319639315
Total Pages : 150 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Algebraic Geometry for Coding Theory and Cryptography by : Everett W. Howe

Download or read book Algebraic Geometry for Coding Theory and Cryptography written by Everett W. Howe and published by Springer. This book was released on 2017-11-15 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Diverse World of PDEs

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Publisher : American Mathematical Society
ISBN 13 : 1470471477
Total Pages : 250 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Diverse World of PDEs by : I. S. Krasil′shchik

Download or read book The Diverse World of PDEs written by I. S. Krasil′shchik and published by American Mathematical Society. This book was released on 2023-08-21 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Alexandre Vinogradov Memorial Conference on Diffieties, Cohomological Physics, and Other Animals, held from December 13–17, 2021, at the Independent University of Moscow and Moscow State University, Moscow, Russia. The papers are devoted to various interrelations of nonlinear PDEs with geometry and integrable systems. The topics discussed are: gravitational and electromagnetic fields in General Relativity, nonlocal geometry of PDEs, Legendre foliated cocycles on contact manifolds, presymplectic gauge PDEs and Lagrangian BV formalism, jet geometry and high-order phase transitions, bi-Hamiltonian structures of KdV type, bundles of Weyl structures, Lax representations via twisted extensions of Lie algebras, energy functionals and normal forms of knots, and differential invariants of inviscid flows. The companion volume (Contemporary Mathematics, Volume 789) is devoted to Algebraic and Cohomological Aspects of PDEs.