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Mathematics of Computation

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

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