Cyclic codes and the Frobenius automorphism |
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| Authors: | Arne Winterhof |
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| Institution: | Institut für Algebra und Zahlentheorie, Technische Universit?t Braunschweig, D-38106 Braunschweig, Germany, DE
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| Abstract: | Using the theory of cyclic codes the following problem of K. Burde' on characterizing finite fields GF (qn) is solved:¶ Consider GF (qn) as a vector space over GF (q). For which GF (qn) exists for any k = 0, . . . ,n exactly one subspace C of dimension k and which is invariant under the Frobenius automorphism? |
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