PreprintCC BY 4.0arXiv
Determination of weight enumerators of binary extremal self-dual codes of length 60
Abstract
We construct three binary extremal self-dual codes of length $60$ with weight enumerators for which no binary extremal self-dual codes of length $60$ were previously known to exist. This completes the determination of the weight enumerators that occur for binary extremal self-dual codes of length $60$.
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BibTeX
@misc{harada2026determination,
title = {{Determination of weight enumerators of binary extremal self-dual codes of length 60}},
author = {Masaaki Harada},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38323},
eprint = {2610.38323},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38323},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Determination of weight enumerators of binary extremal self-dual codes of length 60
AU - Masaaki Harada
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38323
UR - https://arxiv.org/abs/2610.38323
AB - We construct three binary extremal self-dual codes of length $60$ with weight enumerators for which no binary extremal self-dual codes of length $60$ were previously known to exist. This completes the determination of the weight enumerators that occur for binary extremal self-dual codes of length $60$.
ER -