The linear programming bound for codes over finite Frobenius rings

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作者
Eimear Byrne
Marcus Greferath
Michael E. O’Sullivan
机构
[1] University College Dublin,School of Mathematical Sciences
[2] San Diego State University,Department of Mathematics and Statistics
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关键词
Codes over rings; Finite Frobenius rings; Homogeneous weights; Linear-programming bound; 94B65; 94B99; 16L60;
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摘要
In traditional algebraic coding theory the linear-programming bound is one of the most powerful and restrictive bounds for the existence of both linear and non-linear codes. This article develops a linear-programming bound for block codes on finite Frobenius rings.
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