An improvement of the Johnson bound for subspace codes

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Kiermaier, Michael ; Kurz, Sascha:
An improvement of the Johnson bound for subspace codes.
Bayreuth , 2018 . - 12 S.

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Abstract

Subspace codes, i.e., subset of a finite-field Grassmannian, are applied in random linear network coding. Here we give improved upper bounds based on the Johnson bound and a connection to divisible codes, which is presented in a purely geometrical way. This complements a recent approach for upper bounds on the maximum size of partial spreads based on projective q^r-divisible codes.