Abstract:

The Lee weight enumerators and the complete weight enumerators for the linear codes over ring Fp+vFp were studied. By using the Gray map φ from (Fp+vFp)n to F2np, it is proved that the Gray images of the self-dual codes over Fp+vFp are the self-dual codes over Fp, and then correctness and application of the two MAcWilliams identities are given.

Key words: linear codes; Gray map; Lee weight enumerator; complete weight enumerator; MacWilliams identity