Primitive normal polynomials with multiple coefficients prescribed: an asymptotic result (Q2467334)
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| Language | Label | Description | Also known as |
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| English | Primitive normal polynomials with multiple coefficients prescribed: an asymptotic result |
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Primitive normal polynomials with multiple coefficients prescribed: an asymptotic result (English)
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21 January 2008
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The authors investigate primitive normal polynomials over finite fields. In particular, they improve asymptotic results in the literature in terms of, not only primitivity, but also normality, and the number of prescribed coefficients. The tools used are estimates of character sums over finite fields using the authors' previously introduced \(p\)-adic methods as well as computational techniques involving primitive polynomials with prescribed coefficients.
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finite field
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primitive polynomial
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character sums over Galois fields
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normal basis
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\(p\)-adic method
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