Orders of Gauss Periods in Finite Fields.

It is shown that Gauss periods of a special type give an explicit polynomial-time computation of elements of exponentially large multiplicative order in some finite fields. This can be considered as a step towards solving the celebrated problem of finding primitive roots in finite fields in polynomi...

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Bibliographic Details
Published in:Applicable algebra in engineering, communication and computing. 9, 1 (1998).
Main Author: Von zur Gathen, Joachim
Other Authors: Shparlinski, Igor
Format: Article
Language:English
Subjects: