MULTIPLICATIVE ORDER OF GAUSS PERIODS-Reference-Cited by-同舟云学术

MULTIPLICATIVE ORDER OF GAUSS PERIODS

Published:2010-06 Issue:04 Volume:06 Page:877-882
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

AHMADI OMRAN¹,SHPARLINSKI IGOR E.²,VOLOCH JOSÉ FELIPE³

Affiliation:

1. Claude Shannon Institute, University College Dublin, Dublin 4, Ireland

2. Department of Computing, Macquarie University, Sydney, NSW 2109, Australia

3. Department of Mathematics, University of Texas, Austin, TX 78712, USA

Abstract

We obtain a lower bound on the multiplicative order of Gauss periods which generate normal bases over finite fields. This bound improves the previous bound of von zur Gathen and Shparlinski.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042110003290

Reference20 articles.

1. Low complexity normal bases

2. Sharper ABC-based bounds for congruent polynomials

3. Applications of Finite Fields

4. Finite field elements of high order arising from modular curves

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