Abstract
In this work, we study construction methods for self-dual and formally self-dual codes from group rings, arising from the cyclic group, the dihedral group, the dicyclic group and the semi-dihedral group. Using these constructions over the rings F2 + uF2 and F4 + uF4, we obtain 9 new extremal binary self-dual codes of length 68 and 25 even formally self-dual codes with parameters [72, 36, 14].
| Original language | English (US) |
|---|---|
| Pages (from-to) | 11-22 |
| Number of pages | 12 |
| Journal | Advances in Mathematics of Communications |
| Volume | 14 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2020 |
Keywords
- Codes over rings
- Extremal codes
- Formally self-dual codes
- Group rings
- Self-dual codes
ASJC Scopus subject areas
- Algebra and Number Theory
- Computer Networks and Communications
- Discrete Mathematics and Combinatorics
- Applied Mathematics