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Generators of finite fields with prescribed traces

Published 30 Jul 2020 in math.NT | (2007.15682v2)

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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Authors (2)

  1. Lucas Reis 
  2. Sávio Ribas 

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