Construction of Subspace Codes through Linkage

Heide Gluesing-Luerssen; Carolyn Troha

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arXiv · 1505.02186

Construction of Subspace Codes through Linkage

Heide Gluesing-Luerssen·Carolyn Troha

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Abstract

A construction is presented that allows to produce subspace codes of long length using subspace codes of shorter length in combination with a rank metric code. The subspace distance of the resulting code, called linkage code, is as good as the minimum subspace distance of the constituent codes. As a special application, the construction of the best known partial spreads is reproduced. Finally, for a special case of linkage, a decoding algorithm is presented which amounts to decoding with respect to the smaller constituent codes and which can be parallelized.

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Heide Gluesing-Luerssen, Carolyn Troha. 2015-05-08. Construction of Subspace Codes through Linkage. https://arxiv.org/abs/1505.02186

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