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2011
IEEE

Hadamard matrices of order 32 and extremal ternary self-dual codes

8 years 2 months ago
Hadamard matrices of order 32 and extremal ternary self-dual codes
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.
Koichi Betsumiya, Masaaki Harada, Hiroshi Kimura
Added 20 Aug 2011
Updated 20 Aug 2011
Type Journal
Year 2011
Where DCC
Authors Koichi Betsumiya, Masaaki Harada, Hiroshi Kimura
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