Symbol-Triple Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths over Fq+uFq+u2Fq

Abstract

Let p be an odd prime, where ϑ and m are positive integers. Let ψ be a nonzero element of the finite field Fq, where q=pm, and R=Fq+uFq+u2Fq(u3=0). In this paper, we determine completely the symbol-triple distances of all ψ-constacyclic codes of length pϑ over R.