Algebraic decoding of a class of ternary cyclic codes

Recently, it has been shown that an explicit expression of the classical/general error locator polynomial for a class of binary cyclic codes can be determined by Lagrange interpolation formula. In this paper we extend it to the case of ternary cyclic codes and give an upper bound on the term numbers of the general error locator polynomial. Based on the obtained classical/general error-locator polynomials, we propose the algebraic decoding of the (11, 6, 5) and (23, 12, 8) ternary cyclic codes.