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arXiv · 1404.6723

Subspace Codes based on Graph Matchings, Ferrers Diagrams and Pending Blocks

Natalia Silberstein·Anna-Lena Trautmann
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Abstract

This paper provides new constructions and lower bounds for subspace codes, using Ferrers diagram rank-metric codes from matchings of the complete graph and pending blocks. We present different constructions for constant dimension codes with minimum injection distance $2$ or $k-1$, where $k$ is the constant dimension. Furthermore, we present a construction of new codes from old codes for any minimum distance. Then we construct non-constant dimension codes from these codes. The examples of codes obtained by these constructions are the largest known codes for the given parameters.

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Natalia Silberstein, Anna-Lena Trautmann. 2015-05-07. Subspace Codes based on Graph Matchings, Ferrers Diagrams and Pending Blocks. https://arxiv.org/abs/1404.6723

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