Abstract
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 polynomial time.
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Received: November 5, 1996; revised version: October 6, 1997
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von zur Gathen, J., Shparlinski, I. Orders of Gauss Periods in Finite Fields. AAECC 9, 15–24 (1998). https://doi.org/10.1007/s002000050093
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DOI: https://doi.org/10.1007/s002000050093