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 On groups with automorphisms generating recurrent sequences of the maximal periodA. V. Akishin 3 Effective attack on the McEliece cryptosystem based on Reed–Muller codesM. A. Borodin, I. V. Chizhov 10 Properties of polynomials of periodic functions and the complexity of periodicity detection by the Boolean function polynomialA. V. Bukhman 21 On uniqueness of alphabetical decoding of ø-regular languagesP. S. Dergach 32 Order of power of planar circuits implementing Boolean functionsG. V. Kalachev 49 An estimate of the approximation accuracy in B. A. Sevastyanov's limit theorem and its application in the problem of random inclusionsV. A. Kopyttsev, V. G. Mikhailov 75 The algorithm for completeness recognizing in function algebra $L(\mathbb Z)$A. I. Mamontov, D. G. Meshchaninov 85 Automata generated $p$-languagesD. V. Parkhomenko 96 On the distance from permutations to the union of all imprimitive groups with identical parameters of imprimitivity systemsB. A. Pogorelov, M. A. Pudovkina 103 Carpets on simple $4$-contours on the hyperbolic plane of positive curvatureL. N. Romakina 118 On the discrete logarithm problemS. A. Stepanov 133 Analysis of a discrete semi-Markov model of continuous inventory control with periodic interruptions of consumptionP. V. Shnurkov, A. V. Ivanov 143 From the Editor 155