Abstract
It is known that all doubly-even self-dual codes of lengths 8 or 16, and the extended Golay code, can be constructed from some binary Hadamard matrix of orders 8, 16, and 24, respectively. In this note, we demonstrate that every extremal doubly-even self-dual [32,16,8] code can be constructed from some binary Hadamard matrix of order 32.
| Original language | English |
|---|---|
| Pages (from-to) | 142-146 |
| Number of pages | 5 |
| Journal | Journal of Combinatorial Designs |
| Volume | 12 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2004 Dec 1 |
| Externally published | Yes |
Keywords
- 2-rank
- Exteremal doubly-even self-dual code
- Hadamard design
- Hadamard matrix
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics