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


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Автор: Yves Aubry, Christophe Ritzenthaler, Alexey Zykin
Название:  Arithmetic, Geometry, Cryptography and Coding Theory
ISBN: 9780821875728
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 0821875728
Обложка/Формат: Paperback
Страницы: 188
Вес: 0.00 кг.
Дата издания: 30.08.2012
Серия: Contemporary mathematics
Язык: English
Издание: New ed.
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Number theory
Подзаголовок: 13th conference on arithmetic, geometry, cryptography and coding theory, march 14-18, 2011, cirm, marseille, france : geocrypt 2011, june 19-24, 2011, bastia, france
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Поставляется из: Англии
Описание: 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 and Geometry

Автор: Dieulefait
Название: Arithmetic and Geometry
ISBN: 1107462541 ISBN-13(EAN): 9781107462540
Издательство: Cambridge Academ
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Цена: 81310.00 T
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Описание: In this proceedings volume leading authorities describe the state of the art in number theory, particularly Diophantine and arithmetic geometry. The book gives an excellent overview of the subject for graduate students and it is essential reading for researchers wishing to keep abreast of recent developments.

Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups

Автор: Volker Diekert, Manfred Kufleitner, Gerhard Rosenberger, Ulrich Hertrampf
Название: Discrete Algebraic Methods: Arithmetic, Cryptography, Automata and Groups
ISBN: 3110413329 ISBN-13(EAN): 9783110413328
Издательство: Walter de Gruyter
Цена: 43330.00 T
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Описание: The idea behind this book is to provide the mathematical foundations for assessing modern developments in the Information Age. It deepens and complements the basic concepts, but it also considers instructive and more advanced topics. The treatise starts with a general chapter on algebraic structures; this part provides all the necessary knowledge for the rest of the book. The next chapter gives a concise overview of cryptography. Chapter 3 on number theoretic algorithms is important for developping cryptosystems, Chapter 4 presents the deterministic primality test of Agrawal, Kayal, and Saxena. The account to elliptic curves again focuses on cryptographic applications and algorithms. With combinatorics on words and automata theory, the reader is introduced to two areas of theoretical computer science where semigroups play a fundamental role.The last chapter is devoted to combinatorial group theory and its connections to automata. Contents:Algebraic structuresCryptographyNumber theoretic algorithmsPolynomial time primality testElliptic curvesCombinatorics on wordsAutomataDiscrete infinite groups

Algebraic Geometry and Arithmetic Curves

Автор: Liu, Qing
Название: Algebraic Geometry and Arithmetic Curves
ISBN: 0199202494 ISBN-13(EAN): 9780199202492
Издательство: Oxford Academ
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Цена: 80250.00 T
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Описание: This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.

Arithmetic Geometry over Global Function Fields

Автор: Gebhard B?ckle; David Burns; David Goss; Dinesh Th
Название: Arithmetic Geometry over Global Function Fields
ISBN: 3034808526 ISBN-13(EAN): 9783034808521
Издательство: Springer
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Цена: 37260.00 T
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Описание: Arithmetic Geometry over Global Function Fields

Coding Theory and Cryptography

Автор: David Joyner
Название: Coding Theory and Cryptography
ISBN: 3540663363 ISBN-13(EAN): 9783540663362
Издательство: Springer
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Цена: 102480.00 T
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Описание: This text consists of elementary and advanced aspects of coding theory and cryptography. The coding theory contributions deal mostly with algebraic coding theory, and there is an emphasis on geometric Goppa codes and codes arising from combinatorial constructions.

Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

Автор: Radu Laza; Matthias Sch?tt; Noriko Yui
Название: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
ISBN: 1489999183 ISBN-13(EAN): 9781489999184
Издательство: Springer
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Цена: 121110.00 T
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Описание: Arising from a 2011 workshop at the Fields Institute, this book reviews Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds. Offers lectures and papers on arithmetic and algebraic geometry, differential geometry, mathematical physics and more.

Arithmetic Geometry: Computation and Applications

Автор: Yves Aubry, Everett W. Howe, Christophe Ritzenthaler
Название: Arithmetic Geometry: Computation and Applications
ISBN: 1470442124 ISBN-13(EAN): 9781470442125
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: For thirty years, the biennial international conference AGC$^2$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.

Foundations of Arithmetic Differential Geometry

Автор: Alexandru Buium
Название: Foundations of Arithmetic Differential Geometry
ISBN: 147043623X ISBN-13(EAN): 9781470436230
Издательство: Mare Nostrum (Eurospan)
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Цена: 123810.00 T
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Описание: Introduces and develops an arithmetic analogue of classical differential geometry. One of the main conclusions of the theory is that the spectrum of the integers is "intrinsically curved"; the study of this curvature is then the main task of the theory. The book follows, and builds upon, a series of recent research papers. A significant part of the material has never been published before.


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