Algorithmic arithmetic, geometry, and coding theory / [edited by] Stephane Ballet, Marc Perret and Alexey Zaytsev.

Includes bibliographical references.

Geometric error correcting codes.
On products and powers of linear codes under componentwise multiplication / Hugues Randriambololona ; Higher weights of affine Grassmann codes and their duals / Mrinmoy Datta and Sudhir R. Ghorpade --
Algorithmic: special varieties.
The geometry of efficient arithmetic on elliptic cures / David Kohel ; 2-2-2 isogenies between Jacobians of hyperelliptic curves / Ivan Boyer ; Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians / Benjamin Smith --
Algorithmic: point counting.
A point counting algorithm for cyclic covers of the projective line / Cécile Gonçalves ; Point counting on non-hyperelliptic genus 3 curves with automorphism group Z/2Z using Monsky-Washnitzer cohomology / Yih-Dar Shieh ; Wiman's and Edge's sextic attaining Serre's bound II / Motoko Qiu Kawakita --
Algorithmic: general.
Genetics of polynomials over local fields / Jordi Guàrdia and Enric Nart --
Explicit algebraic geometry. Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters / Ekaterina Alekseenko and Alexey Zaytsev ; Smooth embeddings for the Suzuki and Ree curves / Abdulla Eid and Iwan Duursma --
Arithmetic geometry. Uniform distribution of zeroes of L-functions of modular forms / Alexey Zykin ; A survey on class field theory for varieties / Alexander Schmidt.

Contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory. This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties.