Cyclotomy and permutation polynomials of large indices |
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| Affiliation: | School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, ON K1S 5B6, Canada |
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| Abstract: | We use cyclotomy to construct new classes of permutation polynomials over finite fields. This allows us to generate permutation polynomials in an algorithmic way and also to unify several previous constructions. Many permutation polynomials constructed in this way have large indices. |
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| Keywords: | Finite fields Polynomials Permutation polynomials Cyclotomy Cyclotomic mappings |
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