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 |
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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