Geodesic
Necessary and sufficient conditions of linear structure triviality for monomial mapping on the field of $2^{2^t}$ elements
Prikladnaâ diskretnaâ matematika, no. 2 (2010), pp. 5-9

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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. 
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     author = {A. N. Alekseychuk and R. V. Proskurovskiy},
     title = {Necessary and sufficient conditions of linear structure triviality for monomial mapping on the field of $2^{2^t}$ elements},
     journal = {Prikladna\^a diskretna\^a matematika},
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     publisher = {mathdoc},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2010_2_a0/}
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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. Prikladnaâ diskretnaâ matematika, no. 2 (2010), pp. 5-9. http://geodesic.mathdoc.fr/item/PDM_2010_2_a0/