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Ternary covering codes derived from BCH codes

机译:从BCH码派生的三元覆盖码

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摘要

It is shown how ternary BCH codes can be lengthened to get linear codes with covering radius 2. The family obtained has the ternary Golay code as its first code, contains codes with record-breaking parameters and has a good asymptotic behavior. The ternary Golay code is further used to obtain short proofs for the best known upper bounds for the football pool problem for 11 and 12 matches. (C) 1997 Academic Press.
机译:显示了如何将三进制BCH码加长以得到覆盖半径为2的线性码。获得的族以三元Golay码作为其第一码,包含具有破纪录参数的码并且具有良好的渐近行为。三元Golay码还用于获得11和12场比赛的足球池问题的最著名上限的简短证明。 (C)1997学术出版社。

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