Elements of provable high orders in finite fields-Reference-Cited by-同舟云学术

Elements of provable high orders in finite fields

Published:1999-02-11 Issue:6 Volume:127 Page:1615-1623
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gao Shuhong

Abstract

A method is given for constructing elements in F q n \mathbb {F}_{q^n} whose orders are larger than any polynomial in n n when n n becomes large. As a by-product a theorem on multiplicative independence of compositions of polynomials is proved.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-06/S0002-9939-99-04795-4/S0002-9939-99-04795-4.pdf

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5. S. Gao and S. Vanstone, “On orders of optimal normal basis generators,” Math. Comp. 64 (1995), 1227–1233.

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