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The linear programming bound for codes over finite Frobenius rings
Authors:Eimear Byrne  Marcus Greferath  Michael E. O’Sullivan
Affiliation:(1) School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland;(2) Department of Mathematics and Statistics, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182-7720, USA
Abstract: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. An erratum to this article can be found at
Keywords:Codes over rings  Finite Frobenius rings  Homogeneous weights  Linear-programming bound
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