Session S29 - Theory and Applications of Coding Theory

Wednesday, July 14, 12:30 ~ 12:55 UTC-3

Evaluation codes and their basic parameters

Delio Jaramillo-Velez

Cinvestav , Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The aim of this talk is to give degree formulas for the generalized Hamming weights of evaluation codes and to show lower bounds for these weights. In particular, we determine the minimum distance of toric codes over hypersimplices, and the 1st and 2nd generalized Hamming weights of squarefree evaluation codes.

Joint work with Maria Vaz Pinto (Instituto Superior Técnico, Universidade Técnica de Lisboa) and Rafael H. Villarreal (Cinvestav).

View abstract PDF