Name
Abstract | ||
|---|---|---|
Binary self-dual codes and additive self-dual codes over F-4 have in common interesting properties, for example, Type I, Type II, shadows, etc. Recently Bachoc and Gaborit introduced the notion of s-extremality for binary self-dual codes, generalizing Elkies' study on the highest possible minimum weight of the shadows of binary self-dual codes. In this paper, we introduce a concept of s-extremality for additive self-dual codes over F-4, give a bound on the length of these codes with even distance d, classify them up to minimum distance d = 4, give possible lengths and ( shadow) weight enumerators for which there exist s-extremal codes with 5 <= d <= 11 and give five s-extremal codes with d = 7. We construct four s-extremal codes of length n = 13 and minimum distance d = 5. We relate an s-extremal code of length 3d to another s-extremal code of that length, and produce extremal Type II codes from s-extremal codes. |
Year | Venue | DocType |
|---|---|---|
2007 | ADVANCES IN MATHEMATICS OF COMMUNICATIONS | Journal |
Volume | Issue | ISSN |
1 | 1 | 1930-5346 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Evangeline P. Bautista | 1 | 0 | 0.34 |
| Philippe Gaborit | 2 | 700 | 56.29 |
| Jon-Lark Kim | 3 | 312 | 34.62 |
| Judy L. Walker | 4 | 93 | 9.96 |