Further results on optimal ternary cyclic codes

Let C(u,v) denote the ternary cyclic code with two nonzeros αu and αv, where α is a generator of F3m⁎ and 0≤u,v≤3m−2. In this paper, we present a sufficient condition such that C(u,v) is an optimal ternary cyclic code. Based on this condition, we get several classes of optimal ternary cyclic codes by choosing the proper u and v. Moreover, we show that C(3m+12,3m−12+v) and C(1,v) have the same optimality.