SECTION 1. THEORETICAL FOUNDATIONS OF APPLIED DISCRETE MATHEMATICS
7–9
Bondarenko L. N., Sharapova M. L. Generalized 312-avoiding gs-permu-tations and lehmer's transformation // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 7–9. DOI: 10.17223/2226308X/10/1
10–11
Volgin A. V., Kryuchkov G.V. Characterization of linear transformations defined by finite field hadamard matrices and circulant matrices // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 10–11. DOI: 10.17223/2226308X/10/2
12–13
Geut K. L., Titov S. S. On reducing the order of linear recurrence equations with constant coefficients // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 12–13. DOI: 10.17223/2226308X/10/3
14–16
Grigoriev V. S., Fomichev V. M. On primitivity of mixing digraphs for substitutions of shift registers // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 14–16. DOI: 10.17223/2226308X/10/4
17–19
Zaets M. V. Digit-polynomial construction of substitutions over galois ring // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 17–19. DOI: 10.17223/2226308X/10/5
19–21
Kuznetsov A. A., Kuznetsova A. S. The Cayley graph of a subgroup of the Burnside group B0(2, 5) // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 19–21. DOI: 10.17223/2226308X/10/6
21–23
Medvedev N. V., Titov S. S. On homogeneous matroids and block-schemes // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 21–23. DOI: 10.17223/2226308X/10/7
23–24
Oblaukhov A. K. On maximal metrically regular sets // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 23–24. DOI: 10.17223/2226308X/10/8
25–27
Pogorelov B.A., Pudovkina M. A. On the anisometric index of a transformation // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 25–27. DOI: 10.17223/2226308X/10/9
27–29
Cherednik I. V. One approach to constructing a transitive class of block transformations // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 27–29. DOI: 10.17223/2226308X/10/10
29–32
Novoselov S. A. Hyperelliptic curves, Cartier - Manin matrices and Legendre polynomials // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 29–32. DOI: 10.17223/2226308X/10/11
SECTION 2. DISCRETE FUNCTIONS
33–34
Babueva A. A. On connection between affine splitting of a Boolean function and its algebraic, combinatorial and cryptographic properties // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 33–34. DOI: 10.17223/2226308X/10/12
35–36
Gorodilova A. A. A classification of differentially nonequivalent quadratic APN function in 5 and 6 variables // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 35–36. DOI: 10.17223/2226308X/10/13
36–38
Idrisova V.A. On constructing special apn functions and their link with apn permutations // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 36–38. DOI: 10.17223/2226308X/10/14
38–40
Karpova L.A., Pankratova I. A. Properties of coordinate functions for a class of permutations on Fn // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 38–40. DOI: 10.17223/2226308X/10/15
41–42
Kolomeec N. A. A bent function construction by a bent function that is affine on several cosets of a linear subspace // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 41–42. DOI: 10.17223/2226308X/10/16
43–44
Kutsenko A. V. On some properties of known isometric mappings of the set of bent functions // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 43–44. DOI: 10.17223/2226308X/10/17
44–45
Miloserdov A. V. Permutation binomials over finite fields. Conditions of existence // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 44–45. DOI: 10.17223/2226308X/10/18
45–46
Odinokikh N. S. Lower bounds of dimension of linear codes for CDMA // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 45–46. DOI: 10.17223/2226308X/10/19
46–49
Pankov K. N. Refined asymptotic estimates for the number of (n, m, k)-resilient boolean mappings // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 46–49. DOI: 10.17223/2226308X/10/20
49–51
Pokrasenko D. P. Component algebraic immunity of s-boxes used in some block ciphers // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 49–51. DOI: 10.17223/2226308X/10/21
51–54
Soshin D. A. The method for implementation of substitutions S16 by algebraic threshold functions // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 51–54. DOI: 10.17223/2226308X/10/22
55–56
Cheremushkin A. V. A condition for uniqueness of linear decomposition of a boolean function into disjunctive sum of indecomposable functions // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 55–56. DOI: 10.17223/2226308X/10/23
56–59
Shurupov A.N. Some decompositions for quadratic boolean threshold functions // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 56–59. DOI: 10.17223/2226308X/10/24
SECTION 3. MATHEMATICAL METHODS OF CRYPTOGRAPHY
60–62
Avezova Y. E. On primitivity of some sets of shift registers mixing digraphs // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 60–62. DOI: 10.17223/2226308X/10/25
62–64
Babenko L.K., Maro E. A. Solving the problem of boolean satisfiability for estimating the security of block ciphers magma and present to algebraic cryptanalysis // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 62–64. DOI: 10.17223/2226308X/10/26
64–66
Bolotov D. D., Magdin E. A. Cryptographic analysis of the generalized ElGamal's cipher over GL(8,F251) // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 64–66. DOI: 10.17223/2226308X/10/27
66–68
Vysotskaya V. V. The Reed - Muller code square and equivalence classes of McEliece - Sidelnikov cryptosystem private keys // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 66–68. DOI: 10.17223/2226308X/10/28
68–70
Geut K. L., Kirienko K. A., Sadkov P. O., Taskin R. I., Titov S. S. On explicit constructions for solving the problem "A secret sharing" // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 68–70. DOI: 10.17223/2226308X/10/29
71–73
Gracheva E. Yu., Tovshteyn M. Ya. The assembler program is a container for a text // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 71–73. DOI: 10.17223/2226308X/10/30
73–76
Epishkina A. V., Beresneva A. V., Babkin S. S., Kurnev A. S., Lermontov V. Yu. About handwritten signature verification // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 73–76. DOI: 10.17223/2226308X/10/31
76–81
Efremova A. A., Gamova A.N. Self-programmable cellular automata for cryptography // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 76–81. DOI: 10.17223/2226308X/10/32
81–83
Zorina N. A., Kosolapov Y. V. Construction of (4,8)-schemes of visual cryptography on the base of a class of linear hash functions // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 81–83. DOI: 10.17223/2226308X/10/33
84–87
Koreneva A.M. Exponents of mixing digraphs associated with one and two feedbacks shift registers // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 84–87. DOI: 10.17223/2226308X/10/34
87–89
Kyazhin S. N. Structure of local primitive digraphs // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 87–89. DOI: 10.17223/2226308X/10/35
89–91
Obzor A. A. A version of the Diffie - Hellman protocol based on using additional hidden factors // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 89–91. DOI: 10.17223/2226308X/10/36
92–93
Pudovkina M.A., Makeyev A. S. On properties of W-permutations over the residue ring // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 92–93. DOI: 10.17223/2226308X/10/37
93–96
Romanko D. A., Fomichev V. M. On mathematical models of key mixing for iterative block encryption algorithms // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 93–96. DOI: 10.17223/2226308X/10/38
96–99
Fomichev V. M. On characteristics of local primitive matrices and digraphs // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 96–99. DOI: 10.17223/2226308X/10/39
99–101
Fomichev V. M., Kolesova D. M. On characteristics of a three-stage key generator with an alternating step modified with key generator "Stop-Forward" // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 99–101. DOI: 10.17223/2226308X/10/40
102–104
Fomichev V.M., Lolich D.M., Yuzbashev A. V. S-boxes algorithmic realization based on modified additive generators // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 102–104. DOI: 10.17223/2226308X/10/41
104–106
Fomichev V.M., Ovchinnikov P. V. On the construction of s-boxes of 4 X 4 size // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 104–106. DOI: 10.17223/2226308X/10/42
106–110
Agibalov G. P. Cryptautomata: definition, cryptanalysis, example // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 106–110. DOI: 10.17223/2226308X/10/43
SECTION 4. MATHEMATICAL FOUNDATIONS OF COMPUTER SECURITY
111–114
Devyanin P. N. Implementation of a non-degenerate lattice of integrity levels within the hierarchical representation of MROSL DP-model // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 111–114. DOI: 10.17223/2226308X/10/44
115–120
Kolegov D. N., Broslavsky O. V., Oleksov N. E. Towards ABAC Engine framework // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 115–120. DOI: 10.17223/2226308X/10/45
121–122
Murzina A. I. Machine learning based anomaly detection method for SQL // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 121–122. DOI: 10.17223/2226308X/10/46
122–123
Stanchin M.A., Sorokovikov N. V. Identification method for function calling conventions in binary applications // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 122–123. DOI: 10.17223/2226308X/10/47
SECTION 5. MATHEMATICAL FOUNDATIONS OF RELIABILITY OF COMPUTING AND CONTROL SYSTEMS
124–126
Alekhina M. A., Barsukova O. Yu. The reliability of circuits in Rosser - Turkett basis (in P3) with faults of type 0 at the outputs of gates // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 124–126. DOI: 10.17223/2226308X/10/48
126–128
Alekhina M.A., Barsukova O. Yu. On the reliability of circuits in some full bases (in P3) with inverse faults at the gate outputs // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 126–128. DOI: 10.17223/2226308X/10/49
128–130
Alekhina M.A., Gusynina Yu. S., Shornikova T. A. The unreliability of logic circuits of unreliable functional elements // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 128–130. DOI: 10.17223/2226308X/10/50
SECTION 6. APPLIED THEORY OF CODING, AUTOMATICS AND GRAPHS
131–134
Abrosimov M. B., Kostin S. V. About primitive regular graphs with exponent 2 // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 131–134. DOI: 10.17223/2226308X/10/51
134–136
Abrosimov M. B., Modenova O. V. Upper and lower bounds of the number of additional arcs in a minimal edge 1-extension of oriented path // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 134–136. DOI: 10.17223/2226308X/10/52
136–138
Abrosimov M. B., Razumovsky P. V. About generation of non-isomorphic vertex k-colorings // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 136–138. DOI: 10.17223/2226308X/10/53
139–140
Voblyi V. A. On the number of spanning trees in labeled cactus // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 139–140. DOI: 10.17223/2226308X/10/54
140–142
Zhukovskaja A. O., Trenkaev V.N. Identification method for invert-ible finite state machine with known output function // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 140–142. DOI: 10.17223/2226308X/10/55
142–144
Sokolova A. A. Application of edge local complementation to McEliece cryptosystem structural analysis // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 142–144. DOI: 10.17223/2226308X/10/56
SECTION 7. MATHEMATICAL FOUNDATIONS OF INFORMATICS AND PROGRAMMING
145–149
Gotsulenko V. V. Cyclic permutation of elements in one-dimensional array // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 145–149. DOI: 10.17223/2226308X/10/57
149–151
Egorushkin O.I., Kolbasina I. V., Safonov K. V. An analogue of implicit mapping theorem to formal grammars // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 149–151. DOI: 10.17223/2226308X/10/58
151–153
Chushkin M. S. Sketch completion for predicate programs by counterexamples guided synthesis // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 151–153. DOI: 10.17223/2226308X/10/59
SECTION 8. COMPUTING METHODS IN DISCRETE MATHEMATICS
154–157
Bykova V. V., Kataeva A. V. Algorithm for constructing a non-redundant minimax basis of strong associative rules // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 154–157. DOI: 10.17223/2226308X/10/60
157–160
Gribanova I. A. The inversion of cryptographic hash functions using unbalanced approximations of round functions // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 157–160. DOI: 10.17223/2226308X/10/61
160–162
Dronov S. V., Evdokimov E. A. Based on the relative similarity coefficients ranking characteristics forming the cluster partition // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 160–162. DOI: 10.17223/2226308X/10/62
163–165
Lapikov I. I. About the potential for the ellipsoid method application to the threshold function recognition // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 163–165. DOI: 10.17223/2226308X/10/63
165–168
Nikonov V. G., Shurupov A.N. Threshold interpolations in solving nonlinear boolean equation by method of separating planes // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 165–168. DOI: 10.17223/2226308X/10/64
168–171
Soldatenko A. A. Two-phase routing algorithm in the time-dependent networks // Applied Discrete Mathematics. Supplement. 2017. № 10. P. 168–171. DOI: 10.17223/2226308X/10/65
