Weights and Automorphisms of Cyclic Subspace Codes.

Algebra Seminar
Monday, August 29, 2022 - 1:30pm for 1 hour (actually 50 minutes)
Clough 125 classroom
Hunter Lehmann – Georgia Institute of Technology – hlehmann3@gatech.eduhttps://hunterlehmann.github.io/
Abeer Al Ahmadieh

Cyclic orbit codes are subspace codes generated by the action of the Singer subgroup F_{q^n}^* on an F_q-subspace U of F_{q^n}. The weight distribution of a code is the vector whose ith entry is the number of codewords with distance i to a fixed reference generator of the code. We will investigate the weight distribution for a few categories of cyclic orbit codes, including optimal codes. Further, we want to know when two cyclic orbit codes with the same weight distribution are isometric. To answer this question, we determine the possible automorphism groups for cyclic orbit codes.