Title :
A theorem for computing primitive elements in the field of complex integers of a characteristic Mersenne prime
Author :
Miller, R.L. ; Reed, I.S. ; Truong, T.K.
Author_Institution :
California Institute of Technology, Pasadena, CA
fDate :
2/1/1981 12:00:00 AM
Abstract :
A method developed previously [6] for computing primitive elements in GF(q2), where q is a Mersenne prime, is shown not to generalize to other Galois fields. The method will be successful in finding primitive elements of GF(qn) if and only if q is a Mersenne prime and n=2.
Keywords :
Acoustic signal processing; Fast Fourier transforms; Galois fields; Laboratories; NASA; Polynomials; Propulsion; Space technology; Speech processing;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1981.1163501
