Name
Abstract | ||
|---|---|---|
The aim of this work is to give degree formulas for the generalized Hamming weights of evaluation codes and to show lower bounds for these weights. In particular, we give degree formulas for the generalized Hamming weights of Reed-Muller-type codes, and we determine the minimum distance of toric codes over hypersimplices, and the 1st and 2nd generalized Hamming weights of squarefree evaluation codes. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1007/s10623-020-00818-8 | DESIGNS CODES AND CRYPTOGRAPHY |
Keywords | DocType | Volume |
Evaluation codes, Toric codes, Minimum distance, Affine torus, Footprint, Degree, Reed–, Muller codes, Generalized Hamming weights, Affine variety, Finite field, Grö, bner bases | Journal | 89 |
Issue | ISSN | Citations |
2 | 0925-1022 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Delio Jaramillo | 1 | 0 | 0.34 |
| Maria Vaz Pinto | 2 | 0 | 0.34 |
| Rafael H. Villarreal | 3 | 75 | 15.69 |