Name
Abstract | ||
|---|---|---|
In this work we explore a family of metrics over a finite field F-q which respect the support of vectors. We show how these metrics can be obtained from the edge-weighted Hamming cube and, based on this representation we give a description of the group of linear isometries (for q > 2). Next we introduce the concept of conditional sum of metrics and determine what are the conditions that, out of two metrics respecting the support, gives rise to a new such metric. Finally we introduce the labeled-poset block metrics, a new family of metrics which respects support of vectors, filling a gap existing in the known universe of such metrics. For this family we give a full description of the group of linear isometries and determine sufficient conditions for the existence of a MacWilliams' identity. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/ISIT.2019.8849342 | 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) |
Field | DocType | Citations |
Discrete mathematics,Finite field,Isometry,Hamming distance,Decoding methods,Mathematics | Conference | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| roberto assis machado | 1 | 6 | 1.94 |
| Marcelo Firer | 2 | 85 | 18.24 |