Abstract
In this work, the double-circulant, bordered-double-circulant and stripped bordered-double-circulant constructions for self-dual codes over the non-chain ring R 2 = F 2 + uF 2 + vF 2 + uvF 2 are introduced. Using these methods, we have constructed three extremal binary Type I codes of length 64 of new weight enumerators for which extremal codes were not known to exist. We also give a double-circulant construction for extremal binary self-dual codes of length 40 with covering radius 7.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 193-202 |
| Number of pages | 10 |
| Journal | Advances in Mathematics of Communications |
| Volume | 6 |
| Issue number | 2 |
| DOIs | |
| State | Published - May 2012 |
| Externally published | Yes |
Keywords
- Bordered-double-circulant
- Double-circulant
- Extremal self-dual codes
- Gray maps
ASJC Scopus subject areas
- Algebra and Number Theory
- Computer Networks and Communications
- Discrete Mathematics and Combinatorics
- Applied Mathematics