An algebraic characterization of q-ary images of qn-ary codes invariant under a permutation
Isaac Woungang, Han‐Chieh Chao, Mieso K. Denko, Fay Huang · 2010
This paper introduces for the first time a characterization of the q-ary images of qn-ary σ-codes, i.e. linear codes of length m over Fqnthat are invariant under the action of a permutation σ, in the special case when Fqn= Fq(β) = Fq(βl) for some l > 0, β ϵ Fqn. This is achieved by introducing an appropriate module structure on Fqnm.