A symmetrized weight enumerator of linear code over ring F_2+vF_2
XU He-qia · Journal of Anhui Institute of Architecture & Industry · 2014
In this paper,a symmetrized weight enumerator of linear code over ring F2+vF2(where,v2= v)is defined.By using a discrete Hadamard transform,MacWilliams identity between linear code and its dual over the ring with respect to the symmetrized weight enumerator is given also.At last,based on the symmetrized weight enumerator,MacWilliams identities of linear code over ring F2+vF2 with respect to Hamming and Lee weight enumerators are established also.