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Arithmetic, geometry, cryptography and coding theory : 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory, June 10-14, 2019, Centre International de Rencontres Mathématiques, Marseille, France
- Author / Creator
- Conferences
- International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (17th : 2019 : Marseille, France)
- Available as
- Online
- Summary
-
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...
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.
Details
- Creator
- Stéphane Ballet, Gaetan Bisson, Irene Bouw, editors
- Format
- Books
- Language
- English
- Publication
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- Providence, Rhode Island : American Mathematical Society, [2021]
- Physical Details
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- 1 online resource (xiii, 303 pages) : illustrations
- ISBNs
- 9781470464264, 1470464268, 9781470454265, 1470454262, 9781470454265
- OCLC
- on1259589984
- Includes bibliographical references.
- A new upper bound for the largest complete \boldmath$(k,n)$-arc in \boldmath$\mathrm {lcub}PG{rcub}(2,q)$ / Salam A. F. Alabdullah and James W. P. Hirschfeld -- Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces / Yves Aubry, Elena Berardini, Fabien Herbaut and Marc Perret -- On the number of effective divisors in algebraic function fields defined over a finite field / Stéphane Ballet, Gilles Lachaud and Robert Rolland -- The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal / Alina Carmen Cojocaru and Matthew Fitzpatrick -- Toward good families of codes from towers of surfaces / Alain Couvreur, Philippe Lebacque and Marc Perret -- Sato-Tate groups of abelian threefolds: a preview of the classification / Francesc Fité, Kiran S. Kedlaya and Andrew V. Sutherland -- Arithmetic, Geometry, and coding theory: homage to Gilles Lachaud / Sudhir R. Ghorpade, Christophe Ritzenthaler, François Rodier and Michael A. Tsfasman -- Elliptic curves with large Tate-Shafarevich groups over \boldmath$\mathbb {lcub}F{rcub}_q(t)$/ Richard Griffon and Guus de Wit -- On Sato-Tate distributions, extremal traces, and real multiplication in genus 2 / David Kohel and Yih-Dar Shieh -- La trace et le deltöide de \boldmath$\boldsymbol {lcub}\operatorname {lcub}SU{rcub}{rcub}(3)$ / Gilles Lachaud -- Stable models of plane quartics with hyperelliptic reduction / Reynald Lercier, Elisa Lorenzo García and Christophe Ritzenthaler -- Courbes de genre \boldmath$3$ avec \boldmath$S_3$ comme groupe d'automorphismes / Jean-François Mestre -- Bornes sur le nombre de points rationnels des courbes : en quête d'uniformité / Fabien Pazuki -- The quadratic hull of a code and the geometric view on multiplication algorithms / Hugues Randriambololona -- Serre's genus fifty example / Jaap Top
Subjects
- Number theory -- Congresses.
- Cryptography -- Congresses.
- Geometry, Algebraic -- Congresses.
- Coding theory -- Congresses.
- Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Abelian varieties of dimension $> 1$ [See also 14Kxx].
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- Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Curves over finite and local fields [See also 14H25].
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- Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Varieties over finite and local fields [See also 14G15, 14G20].
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- Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Curves of arbitrary genus or genus $
e 1$ over global fields [See also 14H25].
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- Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography.
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- Algebraic geometry -- Curves -- Special curves and curves of low genus.
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- Algebraic geometry -- Abelian varieties and schemes -- Arithmetic ground fields [See also 11Dxx, 11Fxx, 11G10, 14Gxx].
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- Group theory and generalizations -- Representation theory of groups [See also 19A22 (for representation rings and Burnside rings)] -- Representations of finite groups of Lie type.
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- Geometry {For algebraic geometry, see 14-XX} -- Finite geometry and special incidence structures -- Combinatorial structures in finite projective spaces [See also 05Bxx].
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- Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Geometric methods (including applications of algebraic geometry) [See also 11T71, 14G50].
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