Symbol-pair distance of repeated-root constacyclic codes of prime power lengths over f<inf>p</inf>m[u]/〈u³〉

Abstract

Let p be a prime, s, m be positive integers, γ be a nonzero element of the finite field Fpm, and let R = Fpm [u]/〈u3 〉 be the finite commutative chain ring. In this paper, the symbol-pair distances of all γ-constacyclic codes of length ps over R are completely determined.