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Bounds on Subspace Codes Based on Subspaces of Type in Singular Linear Space

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  • You Gao
  • Gang Wang

Abstract

The Sphere-packing bound, Singleton bound, Wang-Xing-Safavi-Naini bound, Johnson bound, and Gilbert-Varshamov bound on the subspace codes based on subspaces of type in singular linear space over finite fields are presented. Then, we prove that codes based on subspaces of type in singular linear space attain the Wang-Xing-Safavi-Naini bound if and only if they are certain Steiner structures in .

Suggested Citation

  • You Gao & Gang Wang, 2014. "Bounds on Subspace Codes Based on Subspaces of Type in Singular Linear Space," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, August.
    • Handle: RePEc:hin:jnljam:497958
    DOI: 10.1155/2014/497958
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    Cited by:

    1. Gao, You & Gao, Jinru & Wang, Gang, 2021. "Bounds on subspace codes based on subspaces of type (s,0,0,0) in pseudo-sympletic spaces and singular pseudo-symplectic spaces," Applied Mathematics and Computation, Elsevier, vol. 407(C).

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