Includes bibliographical references.

Construction of a Bbbk complete addition law on Jacobians of hyperelliptic curves of genus two ; Number of points in an Artin-Schreier covering ; Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents ; Rational curves with many rational points over a finite field ; Enumeration of Splitting Subspaces over Finite Fields ; The characteristic polynomials of abelian varieties of dimension 4 over finite fields ; New bounds on the maximum number of points on genus- curves over small finite fields ; Some planar maps and related function fields ; New families of APN functions in characteristic 3 or 5 ; Identities for Kloosterman sums and modular curves ; Degree growth, linear independence and periods of a class of rational dynamical systems ; Computer search for curves with many points among abelian covers of genus 2 curves ; The groups of points on abelian surfaces over finite fields ; Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method ; Hodge classes on certain hyperelliptic prymians Christophe Arene and Romain Cosset ; Regis Blache ; Eric Ferard, Roger Oyono and Francois Rodier ; Satoru Fukasawa, Masaaki Homma and Seon Jeong Kim ; Sudhir R. Ghorpade and Samrith Ram ; Safia Haloui and Vijaykumar Singh ; Everett W. Howe ; Gohar M. Kyureghyan, Ferruh Ozbudak and Alexander Pott ; Elodie Leducq ; Petr Lisonek ; Alina Ostafe and Igor Shparlinski ; Karl Rokaeus ; Sergey Rybakov ; Benjamin Smith ; Yuri G. Zarhin