View abstract

Session S29 - Theory and Applications of Coding Theory

Wednesday, July 14, 13:30 ~ 13:55 UTC-3

A family of codes with locality containing optimal codes

Victor Gonzalo Lopez Neumann

Universidade Federal de Uberlândia, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Locally recoverable codes were introduced by Gopalan et al.\ in 2012, and in the same year, Prakash et al.\ introduced the concept of codes with locality, which are a type of locally recoverable codes. In this work, we introduce a new family of codes with locality, which are subcodes of a certain family of evaluation codes. We determine the dimension of these codes, and also bounds for the minimum distance. We present the true values of the minimum distance in special cases, and also show that elements of this family are ``optimal codes'', as defined by Prakash et al.

Joint work with Bruno Andrade (Universidade Federal de Uberlândia, Brazil) and Cícero Carvalho (Universidade Federal de Uberlândia, Brazil).

View abstract PDF