most citedMultiplicative Order of Gauss Periods

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math.NT2008

On the Sum-Product Problem on Elliptic Curves

Omran Ahmadi, Igor Shparlinski

Let $\E$ be an ordinary elliptic curve over a finite field $\F_{q}$ of elements and denote the -coordinate of a point on $\E$. Given an $\F_q$-ratio…

math.NT2007★ 1 cited

Multiplicative Order of Gauss Periods

Omran Ahmadi, Igor E. Shparlinski, Jose Felipe Voloch

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…