Primitive polynomials with a prescribed coefficient

Cohen, S.D. (2006) Primitive polynomials with a prescribed coefficient. Finite Fields and their Applications, 12(3), pp. 425-491. (doi:10.1016/j.ffa.2005.08.001)

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Abstract

The Hansen–Mullen [Math. Comput. 59 (1992) 639–643, S47–S50] conjecture on primitive polynomials is established for polynomials of degree at least nine. It postulates the existence of a primitive polynomial over any finite field with any specified coefficient arbitrarily prescribed. The theory extends to polynomials of smaller degree: work is in hand to fashion a proof in these cases too.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Cohen, Professor Stephen
Authors: Cohen, S.D.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Finite Fields and their Applications
ISSN:1071-5797
ISSN (Online):1090-2465
Published Online:19 September 2005

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