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

R. B. Popovych

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

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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Springer

Published

25.06.2014

How to Cite

PopovychR. 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.

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Issue

Vol 66 No 6 (2014)

Section

Research articles