engleski

On the extendability of particular classes of constant dimension codes

We present a result on extendability of specific constant dimension subspace codes. An (n ; M ; d ; k)-subspace code over F_q is a set of M k-dimensional subspaces of F_q^n having minimum distance d. We focus on large (n ; M ; 2k- 2 ; k)-subspace codes over F_q. We give an insight into the technique, coming from finite geometry, that we used to prove our result. We briefly discuss a more general extendability result on some other classes of constant dimension subspace codes whose parameters satisfy specific divisibility conditions. We finally give an application of the mentioned result.

constant dimension codes

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