The MacWilliams theorem for two-dimensional modulo metrics

In this contribution the MacWilliams theorem is stated for codes over finite fields with two-dimensional modulo metrics.

[1]  Elwyn R. Berlekamp,et al.  Algebraic coding theory , 1984, McGraw-Hill series in systems science.

[2]  F. MacWilliams,et al.  The Theory of Error-Correcting Codes , 1977 .

[3]  Richard E. Blahut,et al.  Digital transmission of information , 1990 .

[4]  Klaus Huber Codes over Gaussian integers , 1994, IEEE Trans. Inf. Theory.

[5]  K. Huber,et al.  Codes over Eisenstein-Jacobi integers , 1994 .