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2024, Issue 17  


Theoretical Foundations of Applied Discrete Mathematics
Isomorphisms of $5$-configurations obtained from $2$-digraphs
M. M. Komiagin
6–9
Exact formula for expectation of number of pairs of coinciding $s$-chains in a random binary sequence with fixed number of zeroes and ones
V. I. Kruglov
9–11
The characteristic polynomials of geometrically split ordinary abelian varieties of dimension $3$
S. A. Novoselov
12–16
On permutations perfectly diffusing classes of partitions of $V_n^l(2^m)$
B. A. Pogorelov, M. A. Pudovkina
16–19
Medial and paramedial alebras with strong dependable operations
A. V. Cheremushkin
19–23

Discrete Functions
On the number of the closest bent functions to some Maiorana–McFarland bent functions
D. A. Bykov, N. A. Kolomeets
24–27
Research of boomerang uniformity of quadratic permutations
Y. S. Kalinin
28–34
On the number of functions that break subspaces of dimension $3$ and higher
N. A. Kolomeets
34–37
Characterization of generalized bent functions of algebraic degree $1$
A. V. Kutsenko
37–40
On the construction of invertible vector Boolean functions
I. A. Pankratova, P. R. Garchukova
40–44
Cryptanalytic invertibility of three-argument functions
I. A. Pankratova, A. D. Sorokoumova
44–48
On possibility to construct algebraic immune S-boxes by choosing coordinate Boolean functions
I. S. Khilchuk
48–50

Mathematical Methods of Cryptography
Related-Key Attacks on Signature-based Authenticated Key Establishment Protocols
E. K. Alekseev, S. N. Kyazhin
51–57
Constructing algebraic attacks on lightweight symmetric ciphers using functions with small number of output bits
K. V. Antonov, A. A. Semenov, I. V. Otpushchennikov, A. L. Pavlenko
57–63
On the security of some algorithms over a group of points of elliptic curves
A. O. Bakharev, K. D. Tsaregorodtsev
63–70
Investigation of signal conversion designs with TRNG based on ring oscillators
D. A. Bobrovskiy, D. A. Shilikov
70–74
Some properties of sequences generated by the GEA-1 encryption algorithm
A. D. Bugrov, O. V. Kamlovskii, V. V. Mizerov
75–78
Matrix of transition probabilities of differentials of 8-round Luby — Rackoff scheme
M. M. Glukhov, O. V. Denisov
79–81
Differential-linear distinguishing attacks on block ciphers
O. V. Denisov, S. M. Ramodanov
81–90
Preimage attack on 44-step MD4 compression function with weakened last step
O. S. Zaikin
90–93
Algorithm for quickly generating a key sequence using a quantum communication channel
S. Yu. Kazantsev, K. N. Pankov
93–98
Post-quantum distinguishing attack on one block ciphers mode of operation
A. M. Koreneva, G. V. Firsov
98–102
Independence of events in spaces of equally probable ciphervalues
N. V. Medvedeva, S. S. Titov
102–106
Lightweight Authentication Encryption: a Review of Approaches
S. P. Panasenko
106–111
Quantum cryptanalysis of the KB-256 block cipher
M. V. Polyakov, A. M. Koreneva
112–115
An attack on 6-round XSL-block ciphers
M. A. Pudovkina, A. M. Smirnov
115–117
Ten years of the International Olympiad in Cryptography NSUCRYPTO
N. N. Tokareva
117–118
Parameter analysis of the post-quantum Hypericum signature scheme
O. Yu. Turchenko, S. R. Usmanov
119–120
On mixing properties of register transformations of ciphers TEA1 and TEA2
P. A. Chezhegova, A. M. Koreneva, M. V. Polyakov, G. V. Firsov
120–122

Mathematical Foundations of Computer Science and Computer Security
On solving linear homogeneous grammars generating linear languages
O. I. Egorushkin, I. V. Kolbasina, K. V. Safonov
123–125
Application of finite dynamic systems for information security
A. V. Zharkova
125–129
Efficiency measurement system for zk-SNARK circuits internal representation
D. O. Kondyrev
129–131
Using ELF relocations for executable encryption
R. K. Lebedev, V. E. Sitnov
131–134

Applied Theory of Coding, Automata and Graphs
Classification of trees whose maximal subtrees are all isomorphic
M. B. Abrosimov, D. A. Tomilov
135–137
On codes with unique decoding to the nearest
D. S. Ananichev, K. L. Geut, S. S. Titov
138–140
Generalized $(L,G)$-codes in weighted Haming metric for information security
S. V. Bezzateev
140–143
Properties of the polarizing matrix of a polar code and calculation of Bhattacharyya parameters
A. D. Bolotnikova, S. G. Kolesnikov, V. M. Leontiev, A. I. Semenov
144–147
Quasi-cyclic alternant codes and analysis of their security in cryptographic applications
A. A. Kuninets
147–152
Finite-state generators with maximal period
E. S. Prudnikov
152–154
On the structure of tournaments consisting of only kings
A. O. Shabarkova, M. B. Abrosimov
154–156

Computational methods in discrete mathematics
Research of $k$-sieve algorithm for solving the shortest vector problem in a lattice
A. O. Bakharev
157–162
Modular arithmetic optimization in Kyber KEM
A. S. Zelenetsky, P. G. Klyucharev
162–166
Prikladnaya Diskretnaya Matematika. Supplement
 
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