TY - JOUR
T1 - Extremal double circulant type II codes over ℤ4 and construction of 5-(24, 10, 36) designs
AU - Gulliver, T. Aaron
AU - Harada, Masaaki
N1 - Funding Information:
* Corresponding author. E-mail: gulliver@elec.canterbury.ac.nz. I Current Address: Department of Mathematical Sciences, Yamagata University, Yamagata 990, Japan. This work was supported in part by a grant from the Japan Society for the Promotion of Science.
PY - 1999/1/6
Y1 - 1999/1/6
N2 - In this paper, we provide a classification of extremal double circulant Type II codes of length 24 over ℤ4. It is shown that the sets of supports of the codewords of Hamming weight 10 in certain extremal Type II codes of length 24 form 5-(24, 10, 36) designs. Designs with these parameters were not previously known to exist. A new extremal Type II double circulant code of length 32 is also constructed.
AB - In this paper, we provide a classification of extremal double circulant Type II codes of length 24 over ℤ4. It is shown that the sets of supports of the codewords of Hamming weight 10 in certain extremal Type II codes of length 24 form 5-(24, 10, 36) designs. Designs with these parameters were not previously known to exist. A new extremal Type II double circulant code of length 32 is also constructed.
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U2 - 10.1016/S0012-365X(98)00035-1
DO - 10.1016/S0012-365X(98)00035-1
M3 - Article
AN - SCOPUS:0042624190
SN - 0012-365X
VL - 194
SP - 129
EP - 137
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 1-3
ER -