AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Algorithmic Arithmetic, Geometry, and Coding Theory
About this Title
Stéphane Ballet, Aix-Marseille University, Marseille, France, Marc Perret, Université de Toulouse II Le Mirail, Toulouse, France and Alexey Zaytsev, Immanuel Kant Baltic Federal University, Kaliningrad, Russia, Editors
Publication: Contemporary Mathematics
Publication Year:
2015; Volume 637
ISBNs: 978-1-4704-1461-0 (print); 978-1-4704-2339-1 (online)
DOI: https://doi.org/10.1090/conm/637
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Geometric error correcting codes
- Hugues Randriambololona – On products and powers of linear codes under componentwise multiplication
- Mrinmoy Datta and Sudhir R. Ghorpade – Higher weights of affine Grassmann codes and their duals
Algorithmic: Special varieties
- David Kohel – The geometry of efficient arithmetic on elliptic curves
- Ivan Boyer – 2–2–2 isogenies between Jacobians of hyperelliptic curves
- Benjamin Smith – Easy scalar decompositions for efficient scalar multiplication on elliptic curves and genus 2 Jacobians
- Cécile Gonçalves – A point counting algorithm for cyclic covers of the projective line
- Yih-Dar Shieh – Point Counting on Non-Hyperelliptic Genus 3 Curves with Automorphism Group $\mathbb {Z} / 2 \mathbb {Z}$ using Monsky-Washnitzer Cohomology
- Motoko Qiu Kawakita – Wiman’s and Edge’s sextic attaining Serre’s bound II
- Jordi Guàrdia and Enric Nart – Genetics of polynomials over local fields
- Ekaterina Alekseenko and Alexey Zaytsev – Explicit equations of optimal curves of genus 3 over certain finite fields with three parameters
- Abdulla Eid and Iwan Duursma – Smooth Embeddings for the Suzuki and Ree Curves
- Alexey Zykin – Uniform distribution of zeroes of $L$-functions of modular forms
- Alexander Schmidt – A survey on class field theory for varieties