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Dual Codes of Translation Planes

✍ Scribed by K.L. Clark; J.D. Key; M.J. de Resmini

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 105 KB
Volume: 23
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.2001.0553

No coin nor oath required. For personal study only.

✦ Synopsis

We improve on the known upper bound for the minimum weight of the dual codes of translation planes of certain orders by providing a general construction of words of small weight. We use this construction to suggest a possible formula for the minimum weight of the dual p-ary code of the desarguesian plane of order p m for any prime p and any m ≥ 1.

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