Perfect balancedness of $k$-valued functions and Goli\'c condition
Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 28-30

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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.
@article{PDMA_2012_5_a13,
     author = {S. V. Smyshlyaev},
     title = {Perfect balancedness of $k$-valued functions and {Goli\'c} condition},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {28--30},
     publisher = {mathdoc},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2012_5_a13/}
}
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S. V. Smyshlyaev. Perfect balancedness of $k$-valued functions and Goli\'c condition. Prikladnaya Diskretnaya Matematika. Supplement, no. 5 (2012), pp. 28-30. http://geodesic.mathdoc.fr/item/PDMA_2012_5_a13/