Geodesic
Nonlinear permutations recursively generated over the Galois ring of characteristic~4
Matematičeskie voprosy kriptografii, Tome 5 (2014), pp. 5-15.

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The class of nonlinear permutations $\pi_F$ of a space $\mathrm{GF}(2^r)^m$ of any dimension $m\ge3$ is constructed. Each permutation $\pi_F$ is recursively generated by the characteristic polynomial $F(x)$ over the Galois ring $\mathrm{GR}(2^{2r},4)$. Results of the paper by A. A. Nechaev and the author are generalized to an arbitrary Galois ring of characteristic 4. 
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A. V. Abornev. Nonlinear permutations recursively generated over the Galois ring of characteristic~4. Matematičeskie voprosy kriptografii, Tome 5 (2014), pp. 5-15. http://geodesic.mathdoc.fr/item/MVK_2014_5_a0/

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[2] Kuzmin A. S., Nechaev A. A., “Lineinye rekurrentnye posledovatelnosti nad koltsami Galua”, Algebra i logika, 34:2 (1995), 169–189 | MR | Zbl

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