Name
Title | ||
|---|---|---|
The second generalized Hamming weight of some evaluation codes arising from a projective torus. |
Abstract | ||
|---|---|---|
In this paper we give a formula for the second generalized Hamming weight of certain evaluation codes arising from a projective torus. This allows us to compute the corresponding weights of the codes parameterized by the edges of a complete bipartite graph. We determine some of the generalized Hamming weights of non-degenerate evaluation codes arising from a complete intersection in terms of the minimum distance, the degree and the a-invariant. It is shown that the generalized Hamming weights and the minimum distance have some similar behavior for parameterized codes These results are used to find the complete weight hierarchy of some codes. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.ffa.2018.05.002 | Finite Fields and Their Applications |
Keywords | DocType | Volume |
94B65,14G50,13P25 | Journal | 52 |
ISSN | Citations | PageRank |
1071-5797 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manuel González Sarabia | 1 | 4 | 2.50 |
| Eduardo Camps | 2 | 0 | 0.68 |
| Eliseo Sarmiento | 3 | 16 | 3.00 |
| Rafael H. Villarreal | 4 | 75 | 15.69 |