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2014 Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space
You Gao, Gang Wang
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/497958

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).

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You Gao. Gang Wang. "Bounds on Subspace Codes Based on Subspaces of Type (m,1) in Singular Linear Space." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/497958

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131644
MathSciNet: MR3248915
Digital Object Identifier: 10.1155/2014/497958

Rights: Copyright © 2014 Hindawi

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