Construction of subspace codes through linkage

Heide Gluesing-Luerssen, Carolyn Troha · Advances in Mathematics of Communications · 2016

A construction is discussed that allows to produce subspace codes of long length using subspace codes of shorter lengthin combination with a rank metric code.The subspace distance of the resulting 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 decodingwith respect to the smaller constituent codes and which can be parallelized.

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