Remark on a result of Constantine

November 25, 2015 ยท The Ethereal ยท ๐Ÿ› arXiv.org

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Padraig ร“ Cathรกin arXiv ID 1511.08073 Category math.CO: Combinatorics Cross-listed cs.IT Citations 0 Venue arXiv.org Last Checked 3 months ago
Abstract
In this short note we construct codes of length $4n$ with $8n+8$ codewords and minimum distance $2n-2$ whenever $4n+4$ is the order of a Hadamard matrix. This generalises work of Constantine who obtained a similar result in the special case that $n$ is a prime power.
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