Further results on optimal ternary cyclic codes.

Let C (u , v) denote the ternary cyclic code with two nonzeros α u and α v , where α is a generator of F 3 m ⁎ and 0 ≤ u , v ≤ 3 m − 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 ( 3 m + 1 2 , 3 m − 1 2 + v) and C (1 , v) have the same optimality. [ABSTRACT FROM AUTHOR]