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 |
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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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