Geodesic
The method for implementation of substitutions $S_{16}$ by algebraic threshold functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 10 (2017), pp. 51-54.

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The article deals with the algorithm for constructing representations of substitutions on the set $\{0,1,\dots,15\}$ by using linear combinations of algebraic threshold functions (ATF). Such representations can be used for effective implementations of non-linear discrete transformation schemes in optical basis.
Keywords: algebraic threshold functions, geometric types, block cipher.
Mots-clés : substitutions 
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     author = {D. A. Soshin},
     title = {The method for implementation of substitutions $S_{16}$ by algebraic threshold functions},
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     url = {http://geodesic.mathdoc.fr/item/PDMA_2017_10_a21/}
}
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D. A. Soshin. The method for implementation of substitutions $S_{16}$ by algebraic threshold functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 10 (2017), pp. 51-54. http://geodesic.mathdoc.fr/item/PDMA_2017_10_a21/

[1] Soshin D. A., “Predstavlenie geometricheskikh tipov bulevykh funktsii ot trekh peremennykh algebraicheskimi porogovymi funktsiyami”, Prikladnaya diskretnaya matematika, 2016, no. 1(31), 32–45 | MR

[2] Soshin D. A., “Zadanie podstanovok algoritmov blochnogo shifrovaniya Magma i 2-GOST s pomoschyu algebraicheskikh porogovykh funktsii”, Prikladnaya diskretnaya matematika, 2016, no. 3(33), 53–66 | MR

[3] Informatsionnaya tekhnologiya. Kriptograficheskaya zaschita informatsii. Blochnye shifry, GOST R 34.12-2015, Standartinform, M., 2015

[4] Dmukh A. A., Dygin D. M., Marshalko G. B., “Prigodnaya dlya nizkoresursnoi realizatsii modifikatsiya blochnogo shifra GOST”, Matematicheskie voprosy kriptografii, 5:2 (2014), 47–55