Abstract
Cyclic orbit codes are constant dimension subspace codes that arise as the orbit of acyclic subgroup of the general linear group acting on subspaces in the given ambient space.With the aid of the largest subfield over which the given subspace is a vector space, the cardinalityof the orbit code can be determined, and estimates for its distance can be found.This subfield is closely related to the stabilizer of the generating subspace.Finally, with a linkage construction larger, and longer, constant dimension codes can be derived from cyclicorbit codes without compromising the distance.
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