Multiplicative Order of Gauss Periods
Omran Ahmadi, Igor E. Shparlinski, Jose Felipe Voloch
TL;DR
This paper establishes a new lower bound on the multiplicative order of Gauss periods used in generating normal bases over finite fields, improving upon previous bounds.
Contribution
It provides a tighter lower bound on the multiplicative order of Gauss periods, advancing the understanding of their algebraic properties.
Findings
New lower bound on multiplicative order of Gauss periods
Improved previous bounds by von zur Gathen and Shparlinski
Enhanced theoretical understanding of normal bases in finite fields
Abstract
We obtain a lower bound on the multiplicative order of Gauss periods which generate normal bases over finite fields. This bound improves the previous bound of J. von zur Gathen and I. E. Shparlinski.
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Taxonomy
TopicsCoding theory and cryptography · Analytic Number Theory Research · Cellular Automata and Applications