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Cyclic Codes - Michigan State University

Aug 01, 2010 · 0 = fq(x)g(x)jq(x) 2F[x] n rg is certainly contained in C, since it is composed of those multiples of the code polynomial g(x) with the additional property of having degree less than n. Under addition and scalar multiplication C 0 is an F-vector space of dimension n r. The polynomial g(x) is the unique monic polynomial of degree rin C 0.

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