On the existence of primitive completely normal bases of finite fields |
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Authors: | Theodoulos Garefalakis Giorgos Kapetanakis |
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Affiliation: | 1. Department of Mathematics and Applied Mathematics, University of Crete, Voutes Campus, 70013 Heraklion, Greece;2. Sabanci University, FENS, Orhanli-Tuzla, 34956 Istanbul, Turkey |
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Abstract: | Let be the finite field of characteristic p with q elements and its extension of degree n. We prove that there exists a primitive element of that produces a completely normal basis of over , provided that with and . |
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Keywords: | 11T24 |
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