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Author International Conference Arithmetic, Geometry, Cryptography and Coding Theory (13th : 2011 : Marseille, France)

Title 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 / Yves Aubry, Christophe Ritzenthaler, Alexey Zykin, editors
Published Providence, R.I. : American Mathematical Society, ©2012

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Description 1 online resource (183 pages)
Series Contemporary mathematics ; v. 574
Contemporary mathematics (American Mathematical Society) ; v. 574.
Contents 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
Bibliography Includes bibliographical references
Notes Print version record
Subject Abelian varieties -- Congresses
Dimension theory (Algebra) -- Congresses
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.
Genre/Form Conference papers and proceedings
Form Electronic book
Author Aubry, Yves, 1965-
Ritzenthaler, Christophe, 1976-
Zykin, Alexey, 1984-
Geocrypt Conference (2011 : Bastia, France)
ISBN 9780821890271
0821890271
0821875728
9780821875728