TY - JOUR
T1 - Hadamard matrices of order 32 and extremal ternary self-dual codes
AU - Betsumiya, Koichi
AU - Harada, Masaaki
AU - Kimura, Hiroshi
PY - 2011/2
Y1 - 2011/2
N2 - 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.
AB - 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.
KW - Extremal self-dual code
KW - Hadamard matrix
KW - Paley-Hadamard matrix
KW - Ternary code
UR - http://www.scopus.com/inward/record.url?scp=79951674473&partnerID=8YFLogxK
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U2 - 10.1007/s10623-010-9403-y
DO - 10.1007/s10623-010-9403-y
M3 - Article
AN - SCOPUS:79951674473
SN - 0925-1022
VL - 58
SP - 203
EP - 214
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 2
ER -