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 
@article{PDMA_2017_10_a21,
     author = {D. A. Soshin},
     title = {The method for implementation of substitutions $S_{16}$ by algebraic threshold functions},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {51--54},
     publisher = {mathdoc},
     number = {10},
     year = {2017},
     language = {ru},
     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/