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arXiv · 1705.05779

New self-dual codes of length 72

Alexandre Zhdanov
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Abstract

In this paper we obtain at least 61 new singly even (Type I) binary [72,36,12] self-dual codes as a quasi-cyclic codes with m=2 (tailbitting convolutional codes) and at least 13 new doubly even (Type II) binary [72,36,12] self-dual codes by replacing the first row in each circulant in a double circulant code by "all ones" and "all zeros" vectors respectively.

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Alexandre Zhdanov. 2017-05-16. New self-dual codes of length 72. https://arxiv.org/abs/1705.05779

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