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Arithmetic, Geometry, Cryptography and Coding Theory
 
Edited by: Yves Aubry Université du Sud Toulon-Var, La Garde Cedex, France
Christophe Ritzenthaler Institut de Mathématiques de Luminy, Marseille, France
Alexey Zykin State University–Higher School of Economics, Moscow, Russia and Institute for Information Transmission Problems, Moscow, Russia
Arithmetic, Geometry, Cryptography and Coding Theory
Softcover ISBN:  978-0-8218-7572-8
Product Code:  CONM/574
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-9027-1
Product Code:  CONM/574.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-7572-8
eBook: ISBN:  978-0-8218-9027-1
Product Code:  CONM/574.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Arithmetic, Geometry, Cryptography and Coding Theory
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Arithmetic, Geometry, Cryptography and Coding Theory
Edited by: Yves Aubry Université du Sud Toulon-Var, La Garde Cedex, France
Christophe Ritzenthaler Institut de Mathématiques de Luminy, Marseille, France
Alexey Zykin State University–Higher School of Economics, Moscow, Russia and Institute for Information Transmission Problems, Moscow, Russia
Softcover ISBN:  978-0-8218-7572-8
Product Code:  CONM/574
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-9027-1
Product Code:  CONM/574.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-7572-8
eBook ISBN:  978-0-8218-9027-1
Product Code:  CONM/574.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5742012; 183 pp
    MSC: 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.

    Readership

    Graduate 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 Artin-Schreier 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 low-degree isogenies in genus 2 with the Dolgachev–Lehavi method
    • Yuri G. Zarhin — Hodge classes on certain hyperelliptic prymians
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5742012; 183 pp
MSC: 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.

Readership

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 Artin-Schreier 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 low-degree isogenies in genus 2 with the Dolgachev–Lehavi method
  • Yuri G. Zarhin — Hodge classes on certain hyperelliptic prymians
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.