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Matrix representation of translation planes

โœ Scribed by D. M. Maduram


Publisher
Springer
Year
1975
Tongue
English
Weight
376 KB
Volume
4
Category
Article
ISSN
0046-5755

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๐Ÿ“œ SIMILAR VOLUMES


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โœ David G. Glynn ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 537 KB

Let F be a field of order q. It is known that an orthogonal array of the same order q has rank n over F if and only if it is represented as a cone cut by hyperplanes in n-dimensional space over F. Here we show that translation planes have a cone representation in (n + 1)-dimensional space over F, wh

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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

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