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GENERATORS OF FINITE FIELDS WITH PRESCRIBED TRACES
Published online by Cambridge University Press: 27 May 2021
Abstract
This paper explores the existence and distribution of primitive elements in finite field extensions with prescribed traces in several intermediate field extensions. Our main result provides an inequality-like condition to ensure the existence of such elements. We then derive concrete existence results for a special class of intermediate extensions.
MSC classification
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- Research Article
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- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.
Footnotes
Communicated by Dzmitry Badziahin