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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