MacWilliams identities of liner codes over ring F_2+uF_2 with respect to two inner products

Rui Yi-he · Journal of Anhui University · 2010

Two dual codes of liner code over the ring F2+uF2 about the Euclidean inner product and the Hermitian inner product were defined,new definitions about the complete weight enumerator and the symmetrized weight enumerator could be found in the paper.MacWilliams identities with respect to the Euclidean inner product and the Hermitian inner product were proved.Finally,we proved that for codes over the ring F2+uF2 the MacWilliams relations for the cwe,swe,Lee,Ham were the same for both inner products.

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