Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

The coefficients of primitive
polynomials over finite fields


Author: Wen Bao Han
Journal: Math. Comp. 65 (1996), 331-340
MSC (1991): Primary 11T06
MathSciNet review: 1320895
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Abstract: For $n\ge 7$, we prove that there always exists a primitive polynomial of degree $n$ over a finite field $F_q\ (q\ \operatorname{odd})$ with the first and second coefficients prescribed in advance.


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Additional Information

Wen Bao Han
Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, The People’s Republic of China

DOI: http://dx.doi.org/10.1090/S0025-5718-96-00663-1
Keywords: Finite field, primitive polynomial
Received by editor(s): January 12, 1994
Received by editor(s) in revised form: June 2, 1994, and December 5, 1994
Article copyright: © Copyright 1996 American Mathematical Society