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- W1884394583 abstract "A method is given for constructing elements in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper F Subscript q Sub Superscript n> <mml:semantics> <mml:msub> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>F</mml:mi> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>q</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:msub> <mml:annotation encoding=application/x-tex>mathbb {F}_{q^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> whose orders are larger than any polynomial in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding=application/x-tex>n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> when <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=n> <mml:semantics> <mml:mi>n</mml:mi> <mml:annotation encoding=application/x-tex>n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> becomes large. As a by-product a theorem on multiplicative independence of compositions of polynomials is proved." @default.
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- W1884394583 date "1999-02-11" @default.
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- W1884394583 title "Elements of provable high orders in finite fields" @default.
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- W1884394583 doi "https://doi.org/10.1090/s0002-9939-99-04795-4" @default.
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