Duality for Modules over Finite Rings and Applications to Coding Theory
نویسندگان
چکیده
This paper sets a foundation for the study of linear codes over nite rings. The nite Frobenius rings are singled out as the most appropriate for coding theoretic purposes because two classical theorems of MacWilliams, the extension theorem and the MacWilliams identities, generalize from nite elds to nite Frobenius rings. It is over Frobenius rings that certain key identi cations can be made between the ring and its complex characters.
منابع مشابه
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