The MDS cods over F9 related to ternary Golay code was discussed. The set of signed-permutations automorphisms was defined as signed -permutation automorphism group of C. The orders off signed-permutation automorphism groups of C1, C2, C3 and C4 were 120, 20, 8 and 12. It was found that the permutation-equivalent code had identical complete weight eneumerators but equivalent codes under signed permutations with different complete weight enumerators.