Cohen, S.D.
(2010)
Primitive elements on lines in extensions of finite fields.
In: McGuire, G., Mullen, G.L., Panario, D. and Shparlinski, I.E. (eds.)
*Finite Fields: Theory and Applications.*
Series: Contemporary Mathematics (518).
American Mathematical Society: Providence, RI, pp. 113-127.
ISBN 978-0-8218-4786-2

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## Abstract

Given an integer n > 1, for which prime powers q does every translate {0 + a : a is an element of F-q} (with F-q(theta) = F(q)n) contain a primitive element of F(q)n? Further, for which prime powers does every line {alpha(0 + a) : a is an element of F-q} (with F-q(theta) = F(q)n and alpha (not equal 0) is an element of F(q)n) contain a primitive element? This paper incorporates a review of explicit results for n <= 4.

Item Type: | Book Sections |
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Additional Information: | 9th International Conference on Finite Fields and Applications Dubin, IRELAND, JUL 13-17, 2009 |

Status: | Published |

Glasgow Author(s) Enlighten ID: | Cohen, Professor Stephen |

Authors: | Cohen, S.D. |

College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |

Publisher: | American Mathematical Society |

ISBN: | 978-0-8218-4786-2 |

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