A generalization of the primitive normal basis theorem

Chih Nung Hsu, Ting Ting Nan

研究成果: 雜誌貢獻文章同行評審

5 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)146-157
頁數12
期刊Journal of Number Theory
131
發行號1
DOIs
出版狀態已發佈 - 2011 一月

ASJC Scopus subject areas

  • Algebra and Number Theory

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