Geodesic
Perfect balancedness of $k$-valued functions and Golić condition
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 28-30 
S. V. Smyshlyaev. Perfect balancedness of $k$-valued functions and Golić condition. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 28-30. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a13/
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     author = {S. V. Smyshlyaev},
     title = {Perfect balancedness of $k$-valued functions and {Goli\'c} condition},
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     year = {2012},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2012_5_a13/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Problems of $k$-valued logic generalizations of Golić Conjecture are considered. In the case of prime $k$, a number of results on correctness of $k$-valued analogue of Golić Conjecture are obtained in certain subcases. Here, the full proof of incorrectness of Golić Conjecture $k$-valued analogue in the case of composite $k$ is presented.

[1] Logachev O. A., Salnikov A. A., Smyshlyaev S. V., Yashchenko V. V., “Perfectly Balanced Functions in Symbolic Dynamics”, Proc. NATO ARW (Veliko Tarnovo, Bulgaria, 6–9 October 2008), 222–233

[2] Golić J. Dj., “On the Security of Nonlinear Filter Generators”, LNCS, 1039, 1996, 173–188

[3] Dichtl M., “On nonlinear filter generators”, LNCS, 1267, 1997, 103–106

[4] Smyshlyaev S. V., “Perfectly Balanced Boolean Functions and Golić Conjecture”, J. Cryptology, 25:3 (2012), 464–483 | DOI | MR | Zbl