New doubly even self-dual codes having minimum weight 20

February 23, 2019 · The Ethereal · 🏛 Advances in Mathematics of Communications

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Authors Masaaki Harada arXiv ID 1902.08739 Category math.CO: Combinatorics Cross-listed cs.IT Citations 4 Venue Advances in Mathematics of Communications Last Checked 2 months ago
Abstract
In this note, we construct new doubly even self-dual codes having minimum weight $20$ for lengths $112$, $120$ and $128$. This implies that there are at least three inequivalent extremal doubly even self-dual codes of length $112$.
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