Sharpening of the Explicit Lower Bounds for the Order of Elements in Finite Field Extensions Based on Cyclotomic Polynomials

Authors

  • R. B. Popovych

Abstract

We explicitly construct elements of high multiplicative order in any extensions of finite fields based on cyclotomic polynomials.

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Published

25.06.2014

Issue

Vol. 66 No. 6 (2014)

Section

Research articles

How to Cite

Popovych, R. B. “Sharpening of the Explicit Lower Bounds for the Order of Elements in Finite Field Extensions Based on Cyclotomic Polynomials”. Ukrains’kyi Matematychnyi Zhurnal, vol. 66, no. 6, June 2014, pp. 815–825, https://umj.imath.kiev.ua/index.php/umj/article/view/2179.