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arXiv · 1807.10121

A new criterion on k-normal elements over finite fields

Aixian Zhang·Keqin Feng
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Abstract

The notion of normal elements for finite fields extension has been generalized as k-normal elements by Huczynska et al. [3]. The number of k-normal elements for a fixed finite field extension has been calculated and estimated [3], and several methods to construct k-normal elements have been presented [1,3]. Several criteria on k-normal element have been given [1,2]. In this paper we present a new criterion on k-normal elements by using idempotents and show some examples. Such criterion has been given for usual normal element before [6].

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Aixian Zhang, Keqin Feng. 2018-07-17. A new criterion on k-normal elements over finite fields. https://arxiv.org/abs/1807.10121

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