Bounds on Subspace Codes Based on Subspaces of Type (m, 1) in Singular Linear Space

You Gao and Gang Wang

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: The Sphere‐packing bound, Singleton bound, Wang‐Xing‐Safavi‐Naini bound, Johnson bound, and Gilbert‐Varshamov bound on the subspace codes (n + l, M, d, (m, 1))q based on subspaces of type (m, 1) in singular linear space Fq(n+l) over finite fields Fq are presented. Then, we prove that codes based on subspaces of type (m, 1) in singular linear space attain the Wang‐Xing‐Safavi‐Naini bound if and only if they are certain Steiner structures in Fq(n+l).

Date: 2014
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https://doi.org/10.1155/2014/497958

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:497958

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