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Product Code:  CONM/574 
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Book DetailsContemporary MathematicsVolume: 574; 2012; 183 ppMSC: Primary 11; 14;
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.ReadershipGraduate students and research mathematicians interested in number theory and arithmetic geometry with applications to coding theory and cryptography.

Table of Contents

Articles

Christophe Arène and Romain Cosset  Construction of a $\Bbbk $complete addition law on Jacobians of hyperelliptic curves of genus two

Régis Blache  Number of points in an ArtinSchreier covering

Eric Férard, Roger Oyono and François Rodier  Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents

Satoru Fukasawa, Masaaki Homma and Seon Jeong Kim  Rational curves with many rational points over a finite field

Sudhir R. Ghorpade and Samrith Ram  Enumeration of Splitting Subspaces over Finite Fields

Safia Haloui and Vijaykumar Singh  The characteristic polynomials of abelian varieties of dimension 4 over finite fields

Everett W. Howe  New bounds on the maximum number of points on genus$4$ curves over small finite fields

Gohar M. Kyureghyan, Ferruh Özbudak and Alexander Pott  Some planar maps and related function fields

Elodie Leducq  New families of APN functions in characteristic 3 or 5

Petr Lisoněk  Identities for Kloosterman sums and modular curves

Alina Ostafe and Igor Shparlinski  Degree growth, linear independence and periods of a class of rational dynamical systems

Karl Rökaeus  Computer search for curves with many points among abelian covers of genus 2 curves

Sergey Rybakov  The groups of points on abelian surfaces over finite fields

Benjamin Smith  Computing lowdegree isogenies in genus 2 with the Dolgachev–Lehavi method

Yuri G. Zarhin  Hodge classes on certain hyperelliptic prymians


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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.
Graduate students and research mathematicians interested in number theory and arithmetic geometry with applications to coding theory and cryptography.

Articles

Christophe Arène and Romain Cosset  Construction of a $\Bbbk $complete addition law on Jacobians of hyperelliptic curves of genus two

Régis Blache  Number of points in an ArtinSchreier covering

Eric Férard, Roger Oyono and François Rodier  Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents

Satoru Fukasawa, Masaaki Homma and Seon Jeong Kim  Rational curves with many rational points over a finite field

Sudhir R. Ghorpade and Samrith Ram  Enumeration of Splitting Subspaces over Finite Fields

Safia Haloui and Vijaykumar Singh  The characteristic polynomials of abelian varieties of dimension 4 over finite fields

Everett W. Howe  New bounds on the maximum number of points on genus$4$ curves over small finite fields

Gohar M. Kyureghyan, Ferruh Özbudak and Alexander Pott  Some planar maps and related function fields

Elodie Leducq  New families of APN functions in characteristic 3 or 5

Petr Lisoněk  Identities for Kloosterman sums and modular curves

Alina Ostafe and Igor Shparlinski  Degree growth, linear independence and periods of a class of rational dynamical systems

Karl Rökaeus  Computer search for curves with many points among abelian covers of genus 2 curves

Sergey Rybakov  The groups of points on abelian surfaces over finite fields

Benjamin Smith  Computing lowdegree isogenies in genus 2 with the Dolgachev–Lehavi method

Yuri G. Zarhin  Hodge classes on certain hyperelliptic prymians