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Il teorema di equivalenza per i codici ciclici

Werner Heise, Pasquale Quattrocchi (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Every unit u in the ring 𝐙 n of the residual classes mod n induces canonically an automorphism π of the algebra 𝐑 n ( q ) = G F ( q ) [ z ] / ( z n - 1 ) . Let 𝒞 𝐑 n ( q ) be a cyclic code, i.e. an ideal. If the numbers n and q are relatively prime then there exists a well-known characterization of the code π ( 𝒞 ) . We extend this characterization to the general case.

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