Primitive normal bases for finite fields

H. W. Lenstra, R. J. Schoof
1987 Mathematics of Computation  
It is proved that any finite extension of a finite field has a normal basis consisting of primitive roots.
doi:10.1090/s0025-5718-1987-0866111-3 fatcat:gjqdc2dkgnhyjonwffgcvmhtg4