Hypercubic 4 and 5-Designs from Double-Error-Correcting BCH Codes

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作者
Tor Helleseth
Torleiv Kløve
Vladimir I. Levenshtein
机构
[1] Universitetet i Bergen,Institutt for Informatikk
[2] University of Bergen HIB,Department of Informatics
[3] Keldysh Institute for Applied Mathematics,undefined
[4] RAS,undefined
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designs; orthogonal arrays; BCH codes;
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摘要
An ordered orthogonal array OOA(τ, k, n) is a binary 2k × nτ matrix with the property that for each complete τ-set of columns, each possible τ-tuple occurs in exactly 2k−τ rows of those columns (for definition of a complete τ-set, see below). Constructions of OOA(τ, k, n) for τ = 4 and τ = 5 are given.
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页码:265 / 282
页数:17
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