Impossibility of a Certain Cyclotomic Equation with Applicationsto Difference Sets |
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| Authors: | K T Arasu Alexander Pott |
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| Institution: | (1) Department of Mathematics and Statistics, WrightState University, Dayton, Ohio 45435, USA;(2) Institut für Mathematik der UniversitätAugsburg, 86135 Augsburg, Germany |
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| Abstract: | Under certain conditions, we show the nonexistence ofan element  in the p-th cyclotomicfield over  , that satisfies
. As applications, we establish the nonexistence ofsome difference sets and affine difference sets. |
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| Keywords: | cyclotomic field difference set |
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