We define new metrics for linear codes over the ring Fq[u]/(ut) via an Fq-module monomorphism on linear codes over Fq. The construction generalizes the Gray map, Gray weight, and Lee weight; and the technique allows us to find some new optimal linear codes and their weight enumerator polynomial.
| Identifer | oai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/95073 |
| Date | 25 September 2017 |
| Creators | Alfaro, Ricardo |
| Publisher | Pontificia Universidad Católica del Perú |
| Source Sets | Pontificia Universidad Católica del Perú |
| Language | Español |
| Detected Language | English |
| Type | Artículo |
| Format | |
| Source | Pro Mathematica; Vol. 21, Núm. 41-42 (2007); 145-153 |
| Rights | Artículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/ |
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