2017
Том 69
№ 9

All Issues

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

Popovich R. O.

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Abstract

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

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 6, pp 916-927.

Citation Example: Popovich R. O. Sharpening of the Explicit Lower Bounds for the Order of Elements in Finite Field Extensions Based on Cyclotomic Polynomials // Ukr. Mat. Zh. - 2014. - 66, № 6. - pp. 815–825.

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