Title of article
Primitive polynomials with a prescribed coefficient
Author/Authors
Stephen D. Cohen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
67
From page
425
To page
491
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.
Keywords
finite field , Primitive polynomial , Hansen–Mullen conjecture , Galois rings , Character sums
Journal title
Finite Fields and Their Applications
Serial Year
2006
Journal title
Finite Fields and Their Applications
Record number
701218
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