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