A New Criterion on Normal Bases of Finite Field Extensions
Aixian Zhang, Keqin Feng
TL;DR
This paper introduces a new criterion for identifying normal bases in finite field extensions and provides explicit conditions for specific cases, enhancing understanding and construction of such bases.
Contribution
The paper presents a novel criterion for normal bases in finite fields and derives explicit conditions for particular extensions, advancing the theoretical framework.
Findings
New criterion for normal bases introduced
Explicit criteria derived for specific finite field extensions
Enhances methods for constructing normal bases
Abstract
A new criterion on normal bases of finite field extension is presented and explicit criterions for several particular finite field extensions are derived from this new criterion.
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Taxonomy
TopicsCoding theory and cryptography · Cryptography and Residue Arithmetic · Advanced Wireless Communication Techniques