Name
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.ffa.2016.03.004 | Finite Fields and Their Applications |
Keywords | Field | DocType |
primary,secondary | Hamming code,Discrete mathematics,Combinatorics,Algebra,Hamming(7,4),Algebraic curve,Block code,Hamming distance,Reed–Muller code,Linear code,Hamming weight,Mathematics | Journal |
Volume | Issue | ISSN |
abs/1505.05041 | C | 1071-5797 |
Citations | PageRank | References |
4 | 0.53 | 19 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Edoardo Ballico | 1 | 16 | 7.15 |
| Chiara Marcolla | 2 | 11 | 5.23 |