Skew constacyclic codes over a non-chain ring \mathbbF_q[u,v]/⟨ f(u),g(v), uv-vu⟩

2019/05/30 by Bhardwaj, Swati, Raka, Madhu
#94B15 #FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1905.12933

Abstract

Let f(u) and g(v) be two polynomials of degree k and ℓ respectively, not both linear, which split into distinct linear factors over \mathbbF_q. Let R=\mathbbF_q[u,v]/⟨ f(u),g(v), uv-vu⟩ be a finite commutative non-chain ring. In this paper, we study ψ-skew cyclic and θ_t-skew constacyclic codes over the ring R where ψ and θ_t are two automorphisms defined on R.

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