TY - BOOK AU - Aubry,Yves AU - Ritzenthaler,Christophe AU - Zykin,Alexey ED - International Conference "Arithmetic, Geometry, Cryptography and Coding Theory" ED - Geocrypt Conference TI - 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 T2 - Contemporary mathematics, SN - 9780821890271 (online) AV - QA564 .I576 2011 U1 - 510 23 PY - 2012/// CY - Providence, R.I. PB - American Mathematical Society KW - Abelian varieties KW - Congresses KW - Dimension theory (Algebra) KW - Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Abelian varieties of dimension $> 1$ KW - msc KW - Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves over finite and local fields KW - Number theory -- Zeta and $L$-functions: analytic theory -- Zeta and $L$-functions in characteristic $p$ KW - Number theory -- Algebraic number theory: global fields -- Zeta functions and $L$-functions of number fields KW - Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Polynomials KW - Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography KW - Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Zeta-functions and related questions KW - Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Finite ground fields KW - Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Applications to coding theory and cryptography KW - Algebraic geometry -- Computational aspects in algebraic geometry -- Curves N1 - Includes bibliographical references; Construction of a $\Bbbk $-complete addition law on Jacobians of hyperelliptic curves of genus two; Christophe Ar�ene and Romain Cosset --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11429; Number of points in an Artin-Schreier covering; R�egis Blache --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11427; Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents; Eric F�erard, Roger Oyono and Fran�cois Rodier --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11423; Rational curves with many rational points over a finite field; Satoru Fukasawa, Masaaki Homma and Seon Jeong Kim --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11420; Enumeration of Splitting Subspaces over Finite Fields; Sudhir R. Ghorpade and Samrith Ram --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11430; The characteristic polynomials of abelian varieties of dimension 4 over finite fields; Safia Haloui and Vijaykumar Singh --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11446; New bounds on the maximum number of points on genus-$4$ curves over small finite fields; Everett W. Howe --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11431; Some planar maps and related function fields; Gohar M. Kyureghyan, Ferruh �Ozbudak and Alexander Pott --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11425; New families of APN functions in characteristic 3 or 5; Elodie Leducq --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11419; Identities for Kloosterman sums and modular curves; Petr Lison�ek --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11421; Degree growth, linear independence and periods of a class of rational dynamical systems; Alina Ostafe and Igor Shparlinski --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11426; Computer search for curves with many points among abelian covers of genus 2 curves; Karl R�okaeus --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11422; The groups of points on abelian surfaces over finite fields; Sergey Rybakov --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11424; Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method; Benjamin Smith --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11418; Hodge classes on certain hyperelliptic prymians; Yuri G. Zarhin --; http://www.ams.org/conm/574; http://dx.doi.org/10.1090/conm/574/11432; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/conm/574/ UR - http://dx.doi.org/10.1090/conm/574 ER -