Prikladnaya Diskretnaya Matematika. Supplement: Latest issue http://www.mathnet.ru/eng/pdma 2025, Issue Issue 18 en-gb Copyright 2026, Wed, 27 Aug 2025 00:00:00 +0300 math-net2026_04@mi-ras.ru tche@mi-ras.ru Prikladnaya Diskretnaya Matematika. Supplement http://www.mathnet.ru/JrnLogos/pdma/pdma_b.jpg http://www.mathnet.ru/eng/pdma Classes of permutations of Abelian groups with high nonlinearity and low differential $\delta$-uniformity D. A. Burov, D. A. Kononov Prikl. Diskr. Mat. Suppl., 2025:18, 7--14 http://mi.mathnet.ru/eng/pdma673 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma673 Using the automorphism group to construct MDS-matrices D. A. Burov, S. V. Kostarev Prikl. Diskr. Mat. Suppl., 2025:18, 14--19 http://mi.mathnet.ru/eng/pdma674 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma674 Invariant subspaces of matrices with a nontrivial automorphism group D. A. Burov, S. V. Kostarev Prikl. Diskr. Mat. Suppl., 2025:18, 19--23 http://mi.mathnet.ru/eng/pdma675 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma675 Some periodic and statistical properties of piecewise polynomial sequences over primary residue rings A. R. Vasin, T. I. Lipina Prikl. Diskr. Mat. Suppl., 2025:18, 23--26 http://mi.mathnet.ru/eng/pdma676 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma676 On the complexity of quaternary sequences derived from a pair of Legendre sequences V. A. Edemskii, Z. Cao Prikl. Diskr. Mat. Suppl., 2025:18, 26--28 http://mi.mathnet.ru/eng/pdma677 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma677 New series of $5$-configurations M. M. Komiagin Prikl. Diskr. Mat. Suppl., 2025:18, 28--34 http://mi.mathnet.ru/eng/pdma678 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma678 On the probability of incompleteness of the row rank of a random matrix consisting of independent rows with given numbers of nonzero elements V. I. Kruglov Prikl. Diskr. Mat. Suppl., 2025:18, 35--38 http://mi.mathnet.ru/eng/pdma679 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma679 An improved upper bound for the number of plateaued binary mappings K. N. Pankov Prikl. Diskr. Mat. Suppl., 2025:18, 38--42 http://mi.mathnet.ru/eng/pdma680 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma680 On linear translators and boomerang connectivity tables over Abelian groups B. A. Pogorelov, M. A. Pudovkina Prikl. Diskr. Mat. Suppl., 2025:18, 42--45 http://mi.mathnet.ru/eng/pdma681 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma681 On bent functions constructed using subspaces of dimension $2$ D. A. Bykov, N. A. Kolomeets Prikl. Diskr. Mat. Suppl., 2025:18, 46--49 http://mi.mathnet.ru/eng/pdma682 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma682 On the boomerang spectrum of functions located at a distance of at most two from the class APN functions Yu. S. Kalinin Prikl. Diskr. Mat. Suppl., 2025:18, 49--56 http://mi.mathnet.ru/eng/pdma683 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma683 On the curvature of one class of functions over residue rings taking binary values O. V. Kamlovskii, S. A. Kuzmin Prikl. Diskr. Mat. Suppl., 2025:18, 56--61 http://mi.mathnet.ru/eng/pdma684 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma684 On linear characteristics of some functions over Galois Rings O. V. Kamlovskii, R. V. Penzyakov Prikl. Diskr. Mat. Suppl., 2025:18, 61--64 http://mi.mathnet.ru/eng/pdma685 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma685 Theoretical and probabilistic characteristics of the value of linear correlation of round functions of some FPE algorithms A. V. Kargin Prikl. Diskr. Mat. Suppl., 2025:18, 65--69 http://mi.mathnet.ru/eng/pdma686 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma686 Investigation of linear correlation value distribution for random functions A. V. Kargin, D. B. Fomin Prikl. Diskr. Mat. Suppl., 2025:18, 69--74 http://mi.mathnet.ru/eng/pdma687 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma687 On properties of some bent function classes constructed using subspaces N. A. Kolomeets Prikl. Diskr. Mat. Suppl., 2025:18, 74--78 http://mi.mathnet.ru/eng/pdma688 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma688 Properties of vectorial Boolean functions with equivalent component functions S. A. Kochetkov Prikl. Diskr. Mat. Suppl., 2025:18, 78--80 http://mi.mathnet.ru/eng/pdma689 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma689 On properties of negabent functions A. V. Kutsenko Prikl. Diskr. Mat. Suppl., 2025:18, 80--84 http://mi.mathnet.ru/eng/pdma690 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma690 On the number of solutions of systems of Boolean equations consisting of rank $2$ clauses and arising in the method of consequences for solving Boolean equations systems K. D. Lushnikov Prikl. Diskr. Mat. Suppl., 2025:18, 84--91 http://mi.mathnet.ru/eng/pdma691 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma691 On the transformation of a Boolean function that improves its nonlinearity R. E. Olennikov, I. A. Pankratova Prikl. Diskr. Mat. Suppl., 2025:18, 91--96 http://mi.mathnet.ru/eng/pdma692 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma692 Cryptographic properties of suitable functions I. A. Pankratova, A. A. Medvedev Prikl. Diskr. Mat. Suppl., 2025:18, 97--99 http://mi.mathnet.ru/eng/pdma693 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma693 On the curvature of functions over finite fields A. A. Panpurin Prikl. Diskr. Mat. Suppl., 2025:18, 99--102 http://mi.mathnet.ru/eng/pdma694 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma694 Facet form for Boolean functions and its relation to the bent decomposition problem N. N. Tokareva Prikl. Diskr. Mat. Suppl., 2025:18, 102--105 http://mi.mathnet.ru/eng/pdma695 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma695 Oracle Diffie --- Hellman problem with equivalence relation A. O. Bakharev, K. D. Tsaregorodtsev Prikl. Diskr. Mat. Suppl., 2025:18, 106--113 http://mi.mathnet.ru/eng/pdma696 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma696 Two ways of calculating of differential transition probabilities in Luby --- Rackoff scheme O. V. Denisov, M. M. Glukhov Prikl. Diskr. Mat. Suppl., 2025:18, 113--120 http://mi.mathnet.ru/eng/pdma697 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma697 On some adaptive chosen text attacks on the applied cryptographic protocols A. A. Elistratov, N. V. Nikonov Prikl. Diskr. Mat. Suppl., 2025:18, 120--128 http://mi.mathnet.ru/eng/pdma698 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma698 On the reduction of the XEH block cipher mode to ECB mode in the chosen-plaintext attack model D. A. Zakharov, A. B. Chuhno Prikl. Diskr. Mat. Suppl., 2025:18, 129--133 http://mi.mathnet.ru/eng/pdma699 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma699 On the frequency characteristics in the complications of filter generators output sequences O. V. Kamlovskii, S. A. Kuz'min, V. V. Mizerov, A. S. Tissin Prikl. Diskr. Mat. Suppl., 2025:18, 134--137 http://mi.mathnet.ru/eng/pdma700 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma700 WOTS-BC --- Winternitz signature scheme based on lightweight block ciphers V. A. Kiryukhin, A. A. Shcherbachenko Prikl. Diskr. Mat. Suppl., 2025:18, 137--146 http://mi.mathnet.ru/eng/pdma701 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma701 Post-quantum block cipher-based symmetric cryptography: existing results and topical research directions A. M. Koreneva, S. P. Panasenko, G. V. Firsov Prikl. Diskr. Mat. Suppl., 2025:18, 146--152 http://mi.mathnet.ru/eng/pdma702 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma702 On properties of Flex-like block ciphers M. A. Pudovkina, A. M. Smirnov Prikl. Diskr. Mat. Suppl., 2025:18, 152--154 http://mi.mathnet.ru/eng/pdma703 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma703 RSA multiple record parametric authentication scheme V. R. Serbaev Prikl. Diskr. Mat. Suppl., 2025:18, 154--160 http://mi.mathnet.ru/eng/pdma704 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma704 On the integrity of the MGM-based AEAD-mode with internal re-keying A. M. Sergeev, A. A. Shcherbachenko Prikl. Diskr. Mat. Suppl., 2025:18, 160--169 http://mi.mathnet.ru/eng/pdma705 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma705 Evaluating the effectiveness of a fault injection attack on the Hypericum signature scheme O. Yu. Turchenko Prikl. Diskr. Mat. Suppl., 2025:18, 170--173 http://mi.mathnet.ru/eng/pdma706 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma706 Probability space for the NCPA attack D. B. Fomin, A. B. Chuhno Prikl. Diskr. Mat. Suppl., 2025:18, 173--178 http://mi.mathnet.ru/eng/pdma707 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma707 A construction of Diffie --- Hellman protocol with noncommutative operations A. V. Cheremushkin Prikl. Diskr. Mat. Suppl., 2025:18, 178--182 http://mi.mathnet.ru/eng/pdma708 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma708 On extending the class of impossible differencials for the KB-256 algorithm A. B. Chuhno, D. A. Zakharov Prikl. Diskr. Mat. Suppl., 2025:18, 183--188 http://mi.mathnet.ru/eng/pdma709 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma709 Attack on the ECC2 cryptosystem and the McEliece cryptosystem built on elliptic codes Yu. D. Shkuratov Prikl. Diskr. Mat. Suppl., 2025:18, 188--194 http://mi.mathnet.ru/eng/pdma710 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma710 Advancing LWE cryptanalysis: an updated MIP model and QUBO formulation for quantum annealing A. Qayyum Prikl. Diskr. Mat. Suppl., 2025:18, 194--200 http://mi.mathnet.ru/eng/pdma711 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma711 Comparison of correlation measures used for digital watermark detection V. A. Anzhin, V. N. Trenkaev Prikl. Diskr. Mat. Suppl., 2025:18, 201--206 http://mi.mathnet.ru/eng/pdma712 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma712 Identification of the features of encrypted traffic for various forms of user activity in global information exchange systems V. I. Dobryakov, A. A. Smirnov Prikl. Diskr. Mat. Suppl., 2025:18, 206--211 http://mi.mathnet.ru/eng/pdma713 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma713 Security analysis of the Ethereum Modified Merkle Patricia Trie S. N. Kyazhin, L. R. Akhmetzyanova Prikl. Diskr. Mat. Suppl., 2025:18, 211--218 http://mi.mathnet.ru/eng/pdma714 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma714 Using ROP for building executables without machine code R. K. Lebedev, V. E. Sitnov Prikl. Diskr. Mat. Suppl., 2025:18, 218--222 http://mi.mathnet.ru/eng/pdma715 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma715 Detection of statistical side-channel leaks in encryption algorithms based on the ELMO emulator E. A. Maro, V. O. Malyavina Prikl. Diskr. Mat. Suppl., 2025:18, 222--225 http://mi.mathnet.ru/eng/pdma716 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma716 Post-quantum trapdoor commitment scheme S. V. Bezzateev, V. V. Davydov, Zh.-M. N. Dakuo, I. D. Ioganson, A. F. Khutsaeva Prikl. Diskr. Mat. Suppl., 2025:18, 226--229 http://mi.mathnet.ru/eng/pdma717 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma717 Complexity estimation of decoding problem and finding of low-weight codewords using basis reduction N. S. Kolesnikov, S. A. Novoselov Prikl. Diskr. Mat. Suppl., 2025:18, 229--233 http://mi.mathnet.ru/eng/pdma718 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma718 On calculation of error-correcting pairs for PELP algorithm for algebraic-geometry codes A. A. Kuninets, E. S. Malygina Prikl. Diskr. Mat. Suppl., 2025:18, 234--237 http://mi.mathnet.ru/eng/pdma719 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma719 About one code construction based on an algebra-geometric code E. S. Malygina, A. A. Nikolaev Prikl. Diskr. Mat. Suppl., 2025:18, 237--240 http://mi.mathnet.ru/eng/pdma720 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma720 On the properties of the output sequence of a maximum period finite-state generator E. S. Prudnikov Prikl. Diskr. Mat. Suppl., 2025:18, 240--240 http://mi.mathnet.ru/eng/pdma721 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma721 On the impossibility of “succinct” automata representation of hash functions K. D. Tsaregorodtsev Prikl. Diskr. Mat. Suppl., 2025:18, 241--244 http://mi.mathnet.ru/eng/pdma722 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma722 On the implementation of the Russian checksum algorithm for resource-efficient platforms A. M. Kukartsev, A. A. Kuznetsov, K. V. Safonov Prikl. Diskr. Mat. Suppl., 2025:18, 245--247 http://mi.mathnet.ru/eng/pdma723 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma723 On the implementation of the Russian symmetric encryption algorithm “Kuznechik” for resource-efficient platforms A. M. Kukartsev, A. A. Kuznetsov, K. V. Safonov Prikl. Diskr. Mat. Suppl., 2025:18, 247--250 http://mi.mathnet.ru/eng/pdma724 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma724 FPGA implementation of the Kuznyechik cipher in counter mode S. I. Razenkov Prikl. Diskr. Mat. Suppl., 2025:18, 250--251 http://mi.mathnet.ru/eng/pdma725 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma725 Chosen plaintext algebraic attacks on the ciphers from the Simon family K. V. Antonov, V. S. Kondratiev, S. E. Kochemazov, A. A. Semenov Prikl. Diskr. Mat. Suppl., 2025:18, 252--258 http://mi.mathnet.ru/eng/pdma726 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma726 Construction of strong pseudoprime carmichael numbers passing the Miller --- Rabin test for many first prime bases Yu. F. Boltnev Prikl. Diskr. Mat. Suppl., 2025:18, 258--262 http://mi.mathnet.ru/eng/pdma727 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma727 Preimage attack on 5-round cryptographic hash function JH-256 via parallel SAT solver O. S. Zaikin Prikl. Diskr. Mat. Suppl., 2025:18, 262--264 http://mi.mathnet.ru/eng/pdma728 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma728 Revisiting Dobbertin constraints for SAT-based preimage attacks on round-reduced MD4 compression function S. E. Kochemazov, O. S. Zaikin Prikl. Diskr. Mat. Suppl., 2025:18, 265--270 http://mi.mathnet.ru/eng/pdma729 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma729 Computation of the center of the Burnside group $B_0(2,5)$ A. A. Kuznetsov, A. S. Kuznetsova Prikl. Diskr. Mat. Suppl., 2025:18, 270--273 http://mi.mathnet.ru/eng/pdma730 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma730 Sampling discrete Gaussian algorithm for Barnes --- Wall lattices E. M. Melnichuk Prikl. Diskr. Mat. Suppl., 2025:18, 273--276 http://mi.mathnet.ru/eng/pdma731 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma731 Searching hidden linear structures with quantum computer M. V. Polyakov, M. A. Pudovkina Prikl. Diskr. Mat. Suppl., 2025:18, 276--279 http://mi.mathnet.ru/eng/pdma732 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma732 About LLL reduction algorithms when solving the HNP problem and their comparative analysis V. I. Yanov Prikl. Diskr. Mat. Suppl., 2025:18, 279--284 http://mi.mathnet.ru/eng/pdma733 Wed, 27 Aug 2025 00:00:00 +0300 Wed, 27 Aug 2025 00:00:00 +0300 http://mi.mathnet.ru/eng/pdma733