Field Theory Question

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1 total messages Started by Andrea A. Pietracaprina Fri, 02 Oct 1992 18:40

#134

Author: Andrea A. Pietracaprina
Date: Fri, 02 Oct 1992 18:40

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I have the following question:

Let F_q be the finite field with q = p^n elements (p being any prime),
and let x be a generator for the multiplicative group of Fq. Assume
that the elements of F_q be represented by polynomials in x over F_p
of degree < n. Is there a way to know, without carrying explicit
calculations, the powers of x that correspond to polynomials of degree 1, 
that is, the integers k such that  x^k = ax+b, a,b in F_p ? Are these
*special* integers?

Thanx.

-andrea

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