Existence of primitive polynomials with three coefficients prescribed
Donald Mills
Abstract
We demonstrate, using character sum arguments, the existence of primitive polynomials of degree n over a finite field GF(q) with the coefficients for x(n-1), x(n-2), and x(n-3) prescribed, so long as char(GF(q)) is at least 5 and n is at least 9. The cases n=7, 8 are also considered.
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