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Mathematics of Computation
Journal of the American Mathematical Society
ISSN 1088-6842(e) ISSN 0025-5718(p)
     

The coefficients of primitive polynomials over finite fields

Author(s): Wen Bao Han.
Journal: Math. Comp. 65 (1996), 331-340.
MSC (1991): Primary 11T06
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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: 10.1090/S0025-5718-96-00663-1
PII: S 0025-5718(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
Copyright of article: Copyright 1996, American Mathematical Society


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