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- W2000389682 abstract "The primitive normal basis theorem asks whether every finite field extension has a primitive normal basis of this extension. The proof of this problem has recently been completed by Lenstra and Schoof (1987) [6], and another proof is given by Cohen and Huczynska (2003) [3]. We present a more general result, where the primitive element generating a normal basis is replaced by a primitive element generating the finite Carlitz module. Such generators always exist except for finitely many cases which might not exist." @default.
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- W2000389682 date "2011-01-01" @default.
- W2000389682 modified "2023-09-23" @default.
- W2000389682 title "A generalization of the primitive normal basis theorem" @default.
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- W2000389682 doi "https://doi.org/10.1016/j.jnt.2010.05.011" @default.
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