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09/08/2023
Existence of balanced functions that are not derivative of bent functions
It is disproved the Tokareva's conjecture that any balanced boolean func...
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03/29/2023
Upper bounds on the numbers of binary plateaued and bent functions
The logarithm of the number of binary n-variable bent functions is asymp...
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12/07/2022
An upper bound on the number of frequency hypercubes
A frequency n-cube F^n(q;l_0,...,l_m-1) is an n-dimensional q-by-...-by-...
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07/30/2021
An Upper Bound on the Number of Bent Functions
The number of n-ary bent functions is less than 2^3·2^n-3(1+o(1)) as n i...
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07/30/2021
On weight spectrum of linear codes
We study sequences of linear or affine codes with uniform weight spectru...
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11/29/2019
Constructions of Pairs of Orthogonal Latin Cubes
We construct pairs of orthogonal latin cubes for a sequence of previousl...
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11/16/2019
On q-ary Bent and Plateaued Functions
We obtain the following results. For any prime q the minimal Hamming dis...
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10/07/2019
A Lower Bound on the Number of Boolean Functions with Median Correlation Immunity
The number of n-ary balanced correlation immune (resilient) Boolean func...
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03/01/2019
On the number of autotopies of an n-ary qusigroup of order 4
An algebraic system from a finite set Σ of cardinality k and an n-ary op...
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01/31/2019