A New Criterion on k-Normal Elements over Finite Fields

• 作者: Aixian ZHANG Keqin FENG
• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 665-678
• 页数: 14页
• 语种: 英文
• DOI: 10.1007/s11401-020-0226-5

摘要

The notion of normal elements for finite fields extension was generalized as k-normal elements by Huczynska et al.(2013).Several methods to construct k-normal elements were presented by Alizadah et al.(2016) and Huczynska et al.(2013),and the criteria on k-normal elements were given by Alizadah et al.(2016) and Antonio et al.(2018).In the paper by Huczynska,S.,Mullen,G.,Panario,D.and Thomson,D.(2013),the number of k-normal elements for a fixed finite field extension was calculated and estimated.In this paper the authors present a new criterion on k-normal elements by using idempotents and show some examples.Such criterion was given for usual normal elements before by Zhang et al.(2015).

作者信息

序号	姓名	单位	发文数	被引次数	H指数	G指数
1	Aixian ZHANG		1	0	0.0	0.0
2	Keqin FENG		1	0	0.0	0.0