Abstract
It is shown that if there is a self-orthogonal 5-(72,16,78) design, then the rows of its block-point incidence matrix generate an extremal doubly even self-dual code of length 72. In other words, a putative extremal doubly even self-dual code of length 72 is generated by the codewords of minimum weight.
Original language | English |
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Pages (from-to) | 143-146 |
Number of pages | 4 |
Journal | Journal of Combinatorial Theory. Series A |
Volume | 107 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2004 Jul |
Keywords
- Binary code
- Self-dual code
- Self-orthogonal design
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics