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 On quantum realisation of Boolean functions by the fingerprinting techniqueF. M. Ablayev, A. V. Vasilyev 3 On the complexity of representation of $k$-valued functions by generalised polarised polynomialsS. N. Selezneva 20 Finding and estimating the number of repetition-free Boolean functions over the elementary basis in the form of a convergent seriesO. V. Zubkov 30 Periods of output sequences of an automaton for a given periodic input sequenceA. V. Babash 39 Description of finite nonnilpotent rings with planar zero-divisor graphsA. S. Kuzmina 60 Rings over which all finitely generated modules are $\aleph_0$-injectiveA. A. Tuganbaev 76 On some equations related to the $tpp$-groupsV. P. Platonov, S. P. Strunkov 82 Problems on independence systems solvable by the greedy algorithmV. P. Ilyev 85 Defragmentation of permutation tables with four columnsA. M. Magomedov 95 Nondegenerate colourings in the Brooks theoremN. V. Gravin 105 On the number of boundary classes in the 3-colouring problemD. S. Malyshev 129 On the choice of the defence strategy for an authentication code with two-state sourceA. Yu. Zubov 135 A parametric model of embedding and its statistical analysisK. I. Ponomarev 148