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New extremal self-dual codes of lengths 36, 38, and 58

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1 Author(s)
Jon-Lark Kim ; Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA

We construct new extremal self-dual binary codes of lengths 36, 38, and 58. We show that there are at least 14 inequivalent extremal self-dual [38,18,8] codes and that there are at least 368 inequivalent extremal self-dual [38,19,8] codes. For length 58, we construct 11 extremal self-dual [58,29,10] codes whose weight enumerators were previously unknown

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Information Theory, IEEE Transactions on  (Volume:47 ,  Issue: 1 )