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Prikladnaya Diskretnaya Matematika, 2010, Number 2(8), Pages 5–9
(Mi pdm170)
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Theoretical Foundations of Applied Discrete Mathematics
Necessary and sufficient conditions of linear structure triviality for monomial mapping on the field of $2^{2^t}$ elements
A. N. Alekseychuk, R. V. Proskurovskiy
Institute of Special Communications and Protection of Informatics, National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev, Ukraine
Abstract:
The necessary and sufficient conditions are obtained in terms of binary structure of natural number $d$, under which all non-zero linear combinations of coordinate functions of mapping $x\mapsto x^d$, $x\in\mathbf{GF}(2^{2^t})$, don't have linear translators.
Keywords:
linear structure of discrete mappings, finite field, monomial mapping.
Citation:
A. N. Alekseychuk, R. V. Proskurovskiy, “Necessary and sufficient conditions of linear structure triviality for monomial mapping on the field of $2^{2^t}$ elements”, Prikl. Diskr. Mat., 2010, no. 2(8), 5–9
Linking options:
https://www.mathnet.ru/eng/pdm170 https://www.mathnet.ru/eng/pdm/y2010/i2/p5
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