TY - JOUR
T1 - On extremal double circulant self-dual codes of lengths 90–96
AU - Gulliver, T. Aaron
AU - Harada, Masaaki
N1 - Funding Information:
The authors would like to thank Alfred Wassermann for his useful private communication. This work was supported by JSPS KAKENHI Grant Number 15H03633.
PY - 2019/11/1
Y1 - 2019/11/1
N2 - A classification of extremal double circulant self-dual codes of lengths up to 88 is known. We extend this classification to length 96. We give a classification of extremal double circulant self-dual codes of lengths 90, 92, 94 and 96. We also classify double circulant self-dual codes with parameters [90, 45, 14] and [96, 48, 16]. In addition, we demonstrate that no double circulant self-dual [90, 45, 14] code has an extremal self-dual neighbor, and no double circulant self-dual [96, 48, 16] code has a self-dual neighbor with minimum weight at least 18.
AB - A classification of extremal double circulant self-dual codes of lengths up to 88 is known. We extend this classification to length 96. We give a classification of extremal double circulant self-dual codes of lengths 90, 92, 94 and 96. We also classify double circulant self-dual codes with parameters [90, 45, 14] and [96, 48, 16]. In addition, we demonstrate that no double circulant self-dual [90, 45, 14] code has an extremal self-dual neighbor, and no double circulant self-dual [96, 48, 16] code has a self-dual neighbor with minimum weight at least 18.
KW - Double circulant code
KW - Extremal self-dual code
KW - Self-dual code
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U2 - 10.1007/s00200-019-00381-3
DO - 10.1007/s00200-019-00381-3
M3 - Article
AN - SCOPUS:85061048090
VL - 30
SP - 403
EP - 415
JO - Applicable Algebra in Engineering, Communications and Computing
JF - Applicable Algebra in Engineering, Communications and Computing
SN - 0938-1279
IS - 5
ER -