TY - JOUR
T1 - Near-extremal formally self-dual even codes of lengths 24 and 32
AU - Gulliver, T. Aaron
AU - Harada, Masaaki
AU - Nishimura, Takuji
AU - Östergård, Patric R.J.
N1 - Funding Information:
The authors would like to thank Jon-Lark Kim for sending a copy of [4]. The last author was financially supported by the Academy of Finland under Grants No. 100500 and No. 202315.
PY - 2005/12
Y1 - 2005/12
N2 - The weight enumerator of a formally self-dual even code is obtained by the Gleason theorem. Recently, Kim and Pless gave some restrictions on the possible weight enumerators of near-extremal formally self-dual even codes of length divisible by eight. In this paper, the weight enumerators for which there is a near-extremal formally self-dual even code are completely determined for lengths 24 and 32, by constructing new near-extremal formally self-dual codes. We also give a classification of near- extremal double circulant codes of lengths 24 and 32.
AB - The weight enumerator of a formally self-dual even code is obtained by the Gleason theorem. Recently, Kim and Pless gave some restrictions on the possible weight enumerators of near-extremal formally self-dual even codes of length divisible by eight. In this paper, the weight enumerators for which there is a near-extremal formally self-dual even code are completely determined for lengths 24 and 32, by constructing new near-extremal formally self-dual codes. We also give a classification of near- extremal double circulant codes of lengths 24 and 32.
KW - Formally self-dual even codes
KW - Weight enumerators
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U2 - 10.1007/s10623-004-4037-6
DO - 10.1007/s10623-004-4037-6
M3 - Article
AN - SCOPUS:27244440979
SN - 0925-1022
VL - 37
SP - 465
EP - 471
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 3
ER -