Symbol-Triple Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths over F<inf>q</inf> +uF<inf>q</inf>+u²F<inf>q</inf>

Abstract

Let p be an odd prime, where (Formula presented.) and m are positive integers. Let (Formula presented.) be a nonzero element of the finite field (Formula presented.), where (Formula presented.), and (Formula presented.). In this paper, we determine completely the symbol-triple distances of all (Formula presented.) -constacyclic codes of length (Formula presented.) over (Formula presented.).