Abstract
In this note, the existence of self-dual codes and formally self-dual even codes is investigated. A construction for self-dual codes is presented, based on extending generator matrices. Using this method, a singly-even self-dual [70, 35, 12] code is constructed from a self-dual code of length 68. This is the first published example of a singly-even [70, 35, 12] code. Constructions are also given for formally self-dual even codes. Extremal formally self-dual even codes are constructed.
| Original language | English |
|---|---|
| Pages (from-to) | 131-139 |
| Number of pages | 9 |
| Journal | Finite Fields and their Applications |
| Volume | 3 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1997 Apr |
| Externally published | Yes |
ASJC Scopus subject areas
- Theoretical Computer Science
- Algebra and Number Theory
- Engineering(all)
- Applied Mathematics