Abstract
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.
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Acknowledgements
The authors would like to thank Alfred Wassermann for his useful private communication. This work was supported by JSPS KAKENHI Grant Number 15H03633.
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Gulliver, T.A., Harada, M. On extremal double circulant self-dual codes of lengths 90–96. AAECC 30, 403–415 (2019). https://doi.org/10.1007/s00200-019-00381-3
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DOI: https://doi.org/10.1007/s00200-019-00381-3