Abstract
A ternary self-dual code can be constructed from a Hadamard matrix of order congruent to 8 modulo 12. In this paper, we show that the Paley-Hadamard matrix is the only Hadamard matrix of order 32 which gives an extremal self-dual code of length 64. This gives a coding theoretic characterization of the Paley-Hadamard matrix of order 32.
Original language | English |
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Pages (from-to) | 203-214 |
Number of pages | 12 |
Journal | Designs, Codes, and Cryptography |
Volume | 58 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2011 Feb 1 |
Externally published | Yes |
Keywords
- Extremal self-dual code
- Hadamard matrix
- Paley-Hadamard matrix
- Ternary code
ASJC Scopus subject areas
- Computer Science Applications
- Applied Mathematics