Bounds on subspace codes based on subspaces of type (s,0,0,0) in pseudo-sympletic spaces and singular pseudo-symplectic spaces

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In this article, we compute the Sphere-packing bound, Singleton bound, Gilbert-Varshamov bound and Wang-Xing-Safavi-Naini (W-X-S-N) bound on the subspace codes (2n+σ,H,ρ,(s,0,0,0))q on the premise of subspaces with the form of (s,0,0,0) in pseudo-sympletic spaces Fq2n+σ and on the subspace codes (2n+σ+μ,H,ρ,(s,0,0,0))q on the premise of subspaces with the form of (s,0,0,0) in singular pseudo-sympletic spaces Fq(2n+σ+μ).

论文关键词:Subspace codes,Bound,Pseudo-sympletic spaces,Singular pseudo-sympletic spaces

论文评审过程:Received 19 November 2020, Revised 5 March 2021, Accepted 14 April 2021, Available online 12 May 2021, Version of Record 12 May 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126322