Arithmetic, geometry, cryptography and coding theory : 13th Conference on Arithmetic, Geometry, Cryptography and Coding Theory, March 14-18, 2011, CIRM, Marseille, France : Geocrypt 2011, June 19-24, 2011, Bastia, France /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores Corporativos: International Conference Arithmetic, Geometry, Cryptography and Coding Theory Marseille, France, Geocrypt Conference
Otros Autores: Aubry, Yves, 1965-, Ritzenthaler, Christophe, 1976-, Zykin, Alexey, 1984-
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Providence, R.I. : American Mathematical Society, ©2012.
Colección:Contemporary mathematics (American Mathematical Society) ; v. 574.
Temas:
Abelian varieties > Congresses.
Dimension theory (Algebra) > Congresses.
Variétés abéliennes > Congrès.
Théorie de la dimension (Algèbre) > Congrès.
Abelian varieties
Dimension theory (Algebra)
Number theory > Arithmetic algebraic geometry (Diophantine geometry) > Abelian varieties of dimension $> 1$.
Number theory > Arithmetic algebraic geometry (Diophantine geometry) > Curves over finite and local fields.
Number theory > Zeta and $L$-functions: analytic theory > Zeta and $L$-functions in characteristic $p$.
Number theory > Algebraic number theory: global fields > Zeta functions and $L$-functions of number fields.
Number theory > Finite fields and commutative rings (number-theoretic aspects) > Polynomials.
Number theory > Finite fields and commutative rings (number-theoretic aspects) > Algebraic coding theory; cryptography.
Algebraic geometry > Arithmetic problems. Diophantine geometry > Zeta-functions and related questions.
Algebraic geometry > Arithmetic problems. Diophantine geometry > Finite ground fields.
Algebraic geometry > Arithmetic problems. Diophantine geometry > Applications to coding theory and cryptography.
Algebraic geometry > Computational aspects in algebraic geometry > Curves.
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Construction of a k-complete addition law on Jacobians of hyperelliptic curves of genus two / Christophe Arène and Romain Cosset
  • Number of points in an Artin-Schreier covering / Régis Blache
  • Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents / Eric Férard, Roger Oyono, and Franc̦ois Rodier
  • Rational curves with many rational points over a finite field / Satoru Fukasawa, Masaaki Homma, and Seon Jeong Kim
  • Enumeration of splitting subspaces over finite fields / Sudhir R. Ghorpade and Samrith Ram
  • The characteristic polynomials of abelian varieties of dimension 4 over finite fields / Safia Haloui and Vijaykumar Singh
  • New bounds on the maximum number of points on genus-4 curves over small finite fields / Everett W. Howe
  • Some planar maps and related function fields / Gohar M. Kyureghyan, Ferruh Özbudak, and Alexander Pott
  • New families of APN functions in characteristic 3 or 5 / Elodie Leducq
  • Identities for Kloosterman sums and modular curves / Petr Lisoněk
  • Degree growth, linear independence and periods of a class of rational dynamical systems / Alina Ostafe and Igor Shparlinski
  • Computer search for curves with many points among abelian covers of genus 2 curves / Karl Rökaeus
  • The group of points on abelian surfaces over finite fields / Sergey Rybakov
  • Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method / Benjamin Smith
  • Hodge classes on certain hyperelliptic prymians / Yuri G. Zarhin.

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