A new criterion on k-normal elements over finite fields
Number Theory
2018-07-27 v1
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].
Keywords
Cite
@article{arxiv.1807.10121,
title = {A new criterion on k-normal elements over finite fields},
author = {Aixian Zhang and Keqin Feng},
journal= {arXiv preprint arXiv:1807.10121},
year = {2018}
}
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