Generalized vector space partitions

Titelangaben

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Generalized vector space partitions.
Bayreuth , 2019 . - 12 S.

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Abstract

A vector space partition P in GF(q)^v is a set of subspaces such that every 1-dimensional subspace of GF(q)^v is contained in exactly one element of P. Replacing "every point" by "every t-dimensional subspace", we generalize this notion to vector space t-partitions and study their properties. There is a close connection to subspace codes and some problems are even interesting and unsolved for the set case q=1.