Algorithmic Arithmetic, Geometry, and Coding Theory

Stephane Ballet, Aix-Marseille University, France. Marc Perret, Universite de Toulouse II Le Mirail, France. Alexey Zaytsev, Immanuel Kant Baltic Federal University, Kaliningrad, Russia.

Geometric error correcting codes: On products and powers of linear codes under componentwise multiplication by H. Randriambololona
Higher weights of affine Grassmann codes and their duals by M. Datta and S. R. Ghorpade
Algorithmic: Special varieties: The geometry of efficient arithmetic on elliptic curves by D. Kohel
2-2-2 isogenies between Jacobians of hyperelliptic curves by I. Boyer
Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians by B. Smith
Algorithmic: Point counting: A point counting algorithm for cyclic covers of the projective line by C. Goncalves
Point counting on non-hyperelliptic genus 3 curves with automorphism group $/mathbb{Z}/2/mathbb{Z}$ using Monsky-Washnitzer cohomology by Y.-D. Shieh
Wiman's and Edge's sextic attaining Serre's bound II by M. Q. Kawakita
Algorithmic: General: Genetics of polynomials over local fields by J. Guardia and E. Nart
Explicit algebraic geometry: Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters by E. Alekseenko and A. Zaytsev
Smooth embeddings for the Suzuki and Ree curves by A. Eid and I. Duursma
Arithmetic geometry: Uniform distribution of zeroes of $L$-functions of modular forms by A. Zykin
A survey on class field theory for varieties by A. Schmidt