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Higher Hamming weights for locally recoverable codes on algebraic curves.
- Source :
-
Finite Fields & Their Applications . Jul2016, Vol. 40, p61-72. 12p. - Publication Year :
- 2016
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 40
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 115413777
- Full Text :
- https://doi.org/10.1016/j.ffa.2016.03.004