| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4582669 | Finite Fields and Their Applications | 2016 | 12 Pages |
Abstract
We study locally recoverable codes on algebraic curves. In the first part of the manuscript, we provide a bound on the generalized Hamming weight of these codes. In the second part, we propose a new family of algebraic geometric LRC codes, which are LRC codes from the Norm-Trace curve. Finally, using some properties of Hermitian codes, we improve the bounds on the distance proposed in Barg et al. (2015) [1] of some Hermitian LRC codes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Edoardo Ballico, Chiara Marcolla,