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arXiv · 2007.15682

Generators of finite fields with prescribed traces

Lucas Reis·Sávio Ribas
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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.

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Lucas Reis, Sávio Ribas. 2020-07-30. Generators of finite fields with prescribed traces. https://doi.org/10.1017/s1446788721000094

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