Name
Abstract | ||
|---|---|---|
Matrix codes over a finite field F-q are linear codes defined as subspaces of the vector space of m x n matrices over F-q. In this paper, we show how to obtain self-dual matrix codes from a self-dual matrix code of smaller size using a method we call the building-up construction. We show that every self-dual matrix code can be constructed using this building-up construction. Using this, we classify, that is, we find a complete set of representatives for the equivalence classes of self-dual matrix codes of small sizes. In particular we have classifications for self-dual matrix codes of sizes 2 x 4, 2 x 5 over F-2, of size 2 x 3, 2 x 4 over F-4, of size 2 x 2, 2 x 3 over F-8, and of size 2 x 2, 2 x 3 over F-13, all of which have been left open from K. Morrison's classification. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s10623-020-00740-z | DESIGNS CODES AND CRYPTOGRAPHY |
Keywords | DocType | Volume |
Matrix code,Self-dual code,Classification | Journal | 88.0 |
Issue | ISSN | Citations |
SP8 | 0925-1022 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lucky Erap Galvez | 1 | 0 | 0.68 |
| Jon-Lark Kim | 2 | 312 | 34.62 |