Hypercubic 4 and 5-Designs from Double-Error-Correcting BCH Codes |
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| Authors: | Tor Helleseth Torleiv Kløve Vladimir I. Levenshtein |
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| Affiliation: | (1) Institutt for Informatikk, Universitetet i Bergen, Postboks 7800, N-5020 Bergen, Norway;(2) Department of Informatics, University of Bergen HIB, N-5020 Bergen, Norway;(3) Keldysh Institute for Applied Mathematics, RAS, Miusskaya sq. 4, 125047 Moscow, Russia |
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| Abstract: | ![]()
An ordered orthogonal array OOA( , k, n) is a binary 2k × n matrix with the property that for each complete -set of columns, each possible -tuple occurs in exactly 2k– rows of those columns (for definition of a complete -set, see below). Constructions of OOA(, k, n) for = 4 and = 5 are given. |
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| Keywords: | designs orthogonal arrays BCH codes |
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