Applied Discrete Mathematics. Supplement. 2022. № 15.

Section 1 THEORETICAL FOUNDATIONS OF APPLIED DISCRETE MATHEMATICS

5–8

Kolomeec Nikolay A., Bykov Denis A. Invariant subspaces of functions affine equivalent to the finite field inversion // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 5–8. DOI: 10.17223/2226308X/15/1

8–11

Mikhailov Vladimir A., Kruglov Vasiliy I. Asymptotic normality of number of multiple coincidences of chains in complete q-ary trees and forests with randomly marked vertices // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 8–11. DOI: 10.17223/2226308X/15/2

11–13

Mikhailov Vladimir G., Mezhennaya Natalia M. The rate of normal approximation for the distribution of the number of multiple repetitions of characters in a stationary random sequence // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 11–13. DOI: 10.17223/2226308X/15/3

14–17

Pogorelov Boris A., Pudovkina Marina A. Diffusion properties of generalized quasi-hadamard transformations on finite abelian groups // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 14–17. DOI: 10.17223/2226308X/15/4

Section 2 DISCRETE FUNCTIONS

18–21

Atutova Natalia D. Application of heuristic methods to search for boolean functions with good cryptographic characteristics // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 18–21. DOI: 10.17223/2226308X/15/5

22–25

Bykov Denis A. Lower bound for the number of bent functions at the minimum distance from Majorana - McFarland bent functions // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 22–25. DOI: 10.17223/2226308X/15/6

26–30

Kutsenko Alexandr V. Properties of subfunctions of self-dual bent functions // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 26–30. DOI: 10.17223/2226308X/15/7

30–33

Pankratova Irina A., Ruban Egor A., Chikalova Svetlana V. Constructing vector boolean functions with non-degenerate coordinate functions // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 30–33. DOI: 10.17223/2226308X/15/8

34–40

Khilchuk Irina S., Zyubina Daria A., Tokareva Natalia N. Correlation-immune functions with optimal algebraic immunity // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 34–40. DOI: 10.17223/2226308X/15/9

40–42

Shaporenko Alexandr S. On decomposition of bent functions in 8 variables into the sum of two bent functions // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 40–42. DOI: 10.17223/2226308X/15/10

Section 3 MATHEMATICAL METHODS OF CRYPTOGRAPHY

43–48

Bakharev Alexandr O. Development and comparison of quantum oracle models for the hybrid attack on post-quantum lattice-based cryptosystems // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 43–48. DOI: 10.17223/2226308X/15/11

49–50

Zakharov Dmitry A., Pudovkina Marina A. On a set of impossible differences of feistel ciphers with a non-bijective transform of a round function // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 49–50. DOI: 10.17223/2226308X/15/12

51–54

Medvedeva Natalia A., Titov Sergey S. The criterion of minimum perfect ciphers with respect to inclusion // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 51–54. DOI: 10.17223/2226308X/15/13

54–57

Mokrousov Anton S. Calculation of the differential probabilities for the sum of k numbers modulo 2n. // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 54–57. DOI: 10.17223/2226308X/15/14

57–62

Pankov Konstantin N. Some conditions for the applicability of the integral cryptanalysis to 4-rounds of aes-like ciphers // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 57–62. DOI: 10.17223/2226308X/15/15

62–66

Parfenov Denis R., Bakharev Alexandr O., Kutsenko Alexandr V., Belov Alexandr R., Atutova Natalia D. XS-cir-cuits' properties related to the guaranteed number of activations // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 62–66. DOI: 10.17223/2226308X/15/16

67–70

Sutormin Ivan A. The additive differential probability of k successive exclusive-or // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 67–70. DOI: 10.17223/2226308X/15/17

70–73

Fomichev Vladimir M., Bobrovskiy Dmitry A., Sotov Roman R. Key schedule based on a modified additive generator // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 70–73. DOI: 10.17223/2226308X/15/18

73–77

Fomichev Vladimir M., Kurochkin Alexey V., Chukno Andrey B. The difference relations and impossible differentials construction for the KB-256 algorithm // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 73–77. DOI: 10.17223/2226308X/15/19

Section 4 MATHEMATICAL FOUNDATIONS OF COMPUTER SECURITY, INFORMATION SCIENCE AND PROGRAMMING

78–80

Egorushkin Oleg I., Kolbasina Irina V., Safonov Konstantin V. Polynomial grammars generating an infinite set of languages // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 78–80. DOI: 10.17223/2226308X/15/20

80–90

Kokorin Artem O., Tievskiy Stanislav D., Devyanin Petr N. Methods for deductive verification of c code using AstraVer Toolset // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 80–90. DOI: 10.17223/2226308X/15/21

90–99

Leonova Maria A., Devyanin Petr N. Comparison of methods for modeling access control in os and dbms in Event-B for the purpose of their verification with Rodin and ProB tools // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 90–99. DOI: 10.17223/2226308X/15/22

100–104

Semenov Alexandr A. Backdoors in combinatorial problems and their probabilistic generalizations // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 100–104. DOI: 10.17223/2226308X/15/23

Section 5 APPLIED CODING AND GRAPH THEORY

105–107

Zharkova Anastasia V. The finite dynamic system of all possible orientations of a given graph with all accessible states and with inaccesible states // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 105–107. DOI: 10.17223/2226308X/15/24

108–109

Kolesnikov Sergey G., Leontiev Vladimir M. A series of formulas for bhat-tacharya parameters in the theory of polar codes // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 108–109. DOI: 10.17223/2226308X/15/25

110–112

Lobov Alexandr A., Abrosimov Mihail B. About the uniqueness of the minimal 1-edge extension of a hypercube // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 110–112. DOI: 10.17223/2226308X/15/26

112–116

Modenova Olga V., Abrosimov Mihail B. The upper and lower bounds for the number of additional arcs in a minimal edge 1-exten-sion of oriented cycle // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 112–116. DOI: 10.17223/2226308X/15/27

116–119

Terebin Bogdan A., Abrosimov Mihail B. One family of optimal graphs with prescribed connectivities // Applied Discrete Mathematics. Supplement. 2022. № 15. P. 116–119. DOI: 10.17223/2226308X/15/28