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arXiv:2610.38323 · v1

Determination of weight enumerators of binary extremal self-dual codes of length 60

首次提交 2026-10-28 14:20
版本更新 2026-10-28 14:20
雷达观测 2026-10-30 10:22
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摘要

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 $60$.

作者备注:9 pages

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v1 · 2026-10-28 14:20 · 最新观测版本

Determination of weight enumerators of binary extremal self-dual codes of length 60

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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