Tokareva N. Bent functions: results and applications to cryptography // Acad. Press. Elsevier, 2015. 220 pages. ISBN-10: 012802318X. ISBN-13: 978-0128023181.
Gorodilova A. A., Tokareva N. N., Shushuev G. I. Cryptography and cryptanalysis. Mathematical tasks // Novosibirsk State University, 2014. ISBN: 978-5-4437-0226-1. 325 p., in Russian.
Shaporenko, A.S. Construction of balanced functions with high nonlinearity and other cryptographic properties // Applied Discrete Mathematics. 2024. N 63, P. 8-24.
Malygina E.S., Kutsenko A.V., Novoselov S.A., Kolesnikov N.S., Bakharev A.O., Khilchuk I.S., Shaporenko A.S., Tokareva N.N. Post-quantum cryptosystems: open questions and existing solutions. Cryptosystems on isogenies and error-correcting codes // Discrete Analysis and Operations Research. 2024. Т. 31, N 1. С. 51-83.
2023
Kalgin, K., Idrisova, V. The classification of quadratic APN functions in 7 variables and combinatorial approaches to search for APN functions // Cryptography and Communications. 2023. Volume 15, N 2. Pages 239-256.
DOI: https://doi.org/10.1007/s12095-022-00588-1
Shaporenko A. Derivatives of bent functions in connection with the bent sum decomposition problem // Designs, Codes and Cryptography. 2023. V. 91. P. 1607-1625. DOI: https://doi.org/10.1007/s10623-022-01167-4
Zyubina D. A., Tokareva N. S-Blocks of Special Type with Few Variables // Journal of Applied and Industrial Mathematics. 2023. V. 17. N. 2, P. 451-457. https://doi.org/10.1134/S1990478923020229
Sutormin I.A., Kolomeec N.A. On additive differential probabilities of a composition of bitwise XORs // Prikladnaya Diskretnaya Matematika (Applied Discrete Mathematics). 2023. N. 60, P. 59–75. DOI: https://doi.org/10.48550/arXiv.2303.0409
Bykov D. A., Kolomeec N.A. On a Lower Bound for the Number of Bent Functions at the Minimum Distance from a Bent Function in the Maiorana–McFarland Class // Journal of Applied and Industrial Mathematics. 2023. V. 17. P. 507-520. https://doi.org/10.1134/S1990478923030055
Bakharev A.O. Bounds for the complexity of realization of quantum cryptanalysis for postquantum lattice-based cryptosystems // Journal of Applied and Industrial Mathematics, 2023, Vol. 17, No. 3, pp. 459–482. https://doi.org/10.1134/S1990478923030018
Bonich T.A., Panferov M.A., Tokareva N.N. On the number of suitable Boolean functions in constructions of filter and combining models of stream ciphers // Prikladnaya Diskretnaya Matematika (Applied Discrete Mathematics). 2023, No. 4, P. 21-28.
Idrisova V.A., Tokareva N.N., A. A. Gorodilova, I. I. Beterov, T. A. Bonich, E. A. Ishchukova, N. A. Kolomeec, A. V. Kutsenko, E. S. Malygina, I. A. Pankratova, M. A. Pudovkina, A. N. Udovenko Mathematical problems and solutions of the Ninth International Olympiad in cryptography NSUCRYPTO // Prikladnaya Diskretnaya Matematika (Applied Discrete Mathematics). 2023, No. 4, P. 29-54.
Bakharev, A.O. Estimates of complexity of quantum cryptanalysis implementation of post-quantum cryptosystems based on lattices // Discrete analysis and operations research. 2023. Т. 30, N 3. С. 5-42.
DOI: https://doi.org/10.1134/S1990478923030018
Malygina E.S., Kutsenko A.V., Novoselov S.A., Kolesnikov N.S., Bakharev A.O., Khilchuk I.S., Shaporenko A.S., Tokareva N.N. Post-quantum cryptosystems: open questions and existing solutions. Cryptosystems on lattices // Discrete Analysis and Operations Research. 2023. Т. 30, N 4. С. 46-90. DOI: https://doi.org/10.33048/daio.2023.30.771
Kondyrev D.O. System for measuring the efficiency of internal representation of zk-SNARK schemes // Certificate of state registration of the program for computer №2023683372. Date of receipt 1 November 2023. Registered in the Register of Computer Programs 7 November 2023.
2022
Tokareva N.N. A quadratic part of a bent function can be any // Siberian Electronic Mathematical Reports. 2022. Volume 19, N 1. Pages 342-347. DOI: 10.33048/semi.2022.19.029
Shaporenko A. Derivatives of bent functions in connection with the bent sum decomposition problem // Designs, Codes and Cryptography. 2022. DOI: 10.1007/s10623-022-01167-4
Gorodilova A.A., Tokareva N.N., Agievich S.V., Beterov I.I., Beyne T., Budaghyan L., Carlet, C., Dhooghe S., Idrisova V.A., Kolomeec N.A., Kutsenko A.V., Malygina E.S., Mouha N., Pudovkina M.A., Sica F., Udovenko A.N.An overview of the Eight International Olympiad in Cryptography "Non-Stop University CRYPTO''// Siberian Electronic Mathematical Reports, Volume 19 (2022), N 1. Pages. А9-А37. DOI: 10.48550/arXiv.2204.11502. https://arxiv.org/abs/2204.11502
Doronin A.E., Kalgin K.V. Application of SAT solvers to the problem of finding vector Boolean functions with the required cryptographic properties // Discrete Analysis and Operation Research. 2022. Vol. 29, No. 4. С. 38-58. DOI: 10.33048/daio.2022.29.730
2021
Kalgin K., Idrisova V. On combinatorial approaches to search for APN functions and the classification of quadratic APN functions in 7 variables // Cryptography and Communications, Accepted, 2021 (SETA special issue, 18 pages)
Tokareva N.N., Shaporenko A.S., Solé P. Connections between quaternary and Boolean bent functions, pp. 561-578. DOI 10.33048/semi.2021.18.041 http://semr.math.nsc.ru/v18/n1/p561-578.pdf
Gorodilova, N. Tokareva, S. Agievich, C. Carlet, V. Idrisova, K. Kalgin, D. Kolegov, A. Kutsenko, N. Mouha, M. Pudovkina, A. Udovenko. The Seventh International Olympiad in Cryptography: problems and solutions. https://arxiv.org/abs/2106.01053
Kondyrev, D. O. Overview of privacy preserving technologies for distributed ledgers. // Eurasian Journal of Mathematical and Computer Applications. Volume 9, Issue 1, 2021, Pages 55-68. DOI: 10.32523/2306-6172-2021-9-1-55-68.
Mouha N., Kolomeec N., Akhtyamov D., Sutormin I., Panferov M., Titova K., Bonich T., Ischukova E., Tokareva N., Zhantulikov B. Maximums of the Additive Differential Probability of Exclusive-Or // IACR Transactions on Symmetric Cryptology, Volume 2021, Issue 2, 2021. Pages 292-313. DOI: https://doi.org/10.46586/tosc.v2021.i2.292-313.
A. Gorodilova, N. N. Tokareva, S. V. Agievich, C. Carlet, E. V. Gorkunov, V. A. Idrisova, N. A. Kolomeec, A. V. Kutsenko, R. K. Lebedev, S. Nikova, A. K. Oblaukhov, I. A. Pankratova, M. A. Pudovkina, V. Rijmen, A. N. Udovenko. On the Sixth International Olympiad in Cryptography NSUCRYPTO // Journal of Applied and Industrial Mathematics volume 14, 623–647(2020). DOI: https://doi.org/10.1134/S1990478920040031
Kolomeec N. Some general properties of modified bent functions through addition of indicator functions // Cryptography and Communications, 2021. Available online, 18 pages. DOI: https://doi.org/10.1007/s12095-021-00528-5
2020
Gorodilova A. A note on the properties of associated Boolean functions of quadratic APN functions // Applied Discrete Mathematics. 2020. №47, 16-21. DOI: 10.17223/20710410/47/2
Kondyrev D. Development of a method for hiding private data for a tender system based on blockchain technology // Applied Discrete Mathematics. 2020. №48, 63-81 (in Russian). DOI: 10.17223/20710410/48/6
Kutsenko A., Tokareva N. Metrical properties of the set of bent functions in view of duality // Applied Discrete Mathematics, 2020. №49, 18-34. DOI: 10.17223/20710410/49/2
Oblaukhov A. K. On metric complements and metric regularity in finite metric spaces // Applied Discrete Mathematics, 2020. №. 49. С. 35-45. DOI: 10.17223/20710410/49/3
Kutsenko A., Metrical properties of self-dual bent functions // Designs, Codes and Cryptography. 2020. 88(1), 201-222. DOI: 10.1007/s10623-019-00678-x
Oblaukhov A. On metric regularity of Reed-Muller codes // Designs, Codes and Cryptography. 89(1), pp. 167-197. 2021. Published online. DOI: 10.1007/s10623-020-00813-z
Gorodilova A., Tokareva N., Agievich S., Carlet C., Gorkunov E., Idrisova V., Kolomeec N., Kutsenko A., Lebedev R., Nikova S., Oblaukhov A., Pankratova I., Pudovkina M., Rijmen V., Udovenko A. On the Sixth International Olympiad in Cryptography NSUCRYPTO // Journal of Applied and Industrial Mathematics. V. 14, I. 4. 2020.)
Kutsenko A., The group of automorphisms of the set of self-dual bent functions // Cryptography and Communications, 2020. 12(5), 881-898. DOI: 10.1007/s12095-020-00438-y
Tkachev A.V., Irtegov D. V. Method of automatic testing of a developing web application // Vestnik NSU. Series: Information technologies, Vol. 17, no. 3. Novosibirsk: CPI NSU, 2019, Pp. 93-110. (in Russian). DOI: 10.25205/1818-7900- 2019-17-3-93-110
Gorodilova A. On the differential equivalence of APN functions // Cryptography and communications. 2019. 11(4), 793-813. DOI: 10.1007/s12095-018-0329-y
Idrisova V. On an algorithm generating 2-to-1 APN functions and its applications to “the big APN problem” // Cryptography and communications. 2019. 11(1), 21-39. DOI: 10.1007/s12095-018-0310-9
Shaparenko A. S. Connection of homogeneous bent functions and Negi graphs / / Discrete analysis and operations research. 2019. Vol. 26. N 4. Pp. 121-131 (in Russian). DOI: 10.33048/daio.2019.26.649
2018
Oblaukhov A. K. Maximal metrically regular sets // Siberian Electronic Mathematical Reports. 2018. V. 15, pp. 1842-1849. DOI: 10.33048/semi.2018.15.148
Kutsenko A., The Hamming distance spectrum between self-dual Maiorana–McFarland bent functions // J. Appl. Industr. Math., 12:1 (2018), 112–125. DOI: 10.1134/S1990478918010106
Miloserdov A.V. One-to-one binomial functions over finite fields // J. Appl. Industr. Math.. 2018. Т. 25. No 4. C. 59–80. (in Russian) DOI: 10.17377/daio.2018.25.611
Zbitnev N., Shishlyannikov D., Gridin, D. Probabilistic Block Cipher for distributed systems // Journal of Physics: Conference Series. 2018. DOI: 10.1088/1742-6596/1117/1/012011
Kondyrev D. O., Bobrov V. S., Efremov I. E., Vlasov V. N. Ethereum-Based Tender System // Vestnik NSU. Series: Information Technologies, 2017, vol. 15, no. 3, p. 31–39. (in Russian) DOI: 10.25205/1818-7900-2017-15-3-31-39
Krendelev, S. Zbitnev, N. ; Shishlyannikov, D. ; Gridin, D. Block cipher based on modular arithmetic and methods of information compression // In: Journal of Physics: Conference Series. 2017 ; Vol. 913, No. 1. DOI: 10.1088/1742-6596/913/1/012009
Tkachev A. V., Talantsev I. G. Automatic detection of the field order in a sequence of images interlaced // Vestnik NSU. Series: Information technologies, Vol. 15, issue 2. Novosibirsk: CPI NSU, 2017. - Pp. 74-84
Kolomeec N. A. The graph of minimal distances of bent functions and its properties // Designs, Codes, and Cryptography. 2017. 85(3), 395-410.
2016
Oblaukhov A. Metric complements to subspaces in the Boolean cube // Journal of Applied and Industrial Mathematics. 2016. V.10, I. 3, pp. 397-403.
2015
Bilgin B., Nikova S., Nikov V., Rijmen V., Tokareva N., Vitkup V. Threshold implementations of small S-boxes // Cryptography and Communications. 2015. V. 7. N 1. P. 3-33.
Kolomeec N. On properties of a bent function secondary construction // The 5th International Workshop on Boolean Functions and their Applications (BFA). 2020. 4 pages.
Oblaukhov A. Metric regularity of Reed-Muller codes // The 5th International Workshop on Boolean Functions and their Applications (BFA). 2020. 6 pages.
Kutsenko A. On metrical properties of self-dual generalized bent functions // The 5th International Workshop on Boolean Functions and their Applications (BFA). 2020. 5 pages
Kalgin K., Idrisova V. On combinatorial approaches to search for quadratic APN functions // Proceedings of the conference Sequences and Their Applications 2020 (SETA 2020). 10 pages.
Kutsenko A. On constructions and properties of self-dual generalized bent functions // Proceedings of the conference Sequences and Their Applications 2020 (SETA 2020). 14 pages.
Bonich T., Panferov M., Tokareva N. Properties of the secret gamma in stream ciphers // Fifth Conference on Software Engineering and Information Management (SEIM-2020). 2020. 3 pages.
Shaporenko A. On relationship between quaternary and Boolean bent functions // Fifth Conference on Software Engineering and Information Management (SEIM-2020). 2020. 5 pages.
Zyubina D., Zapolskii M., Khilchuk I., Tokareva N. S-box construction based on a Boolean function and a permutation // Fifth Conference on Software Engineering and Information Management (SEIM-2020) 2020. 4 pages.
Kutsenko A., Tokareva N. Metrical properties of the set of bent functions in view of duality // IX Symposium «Current trends in cryptography» CTCrypt 2020 (Moscow oblast, September 15–17, 2020). 22 pages.
Sazonova P. The general universal model of blockchain technology based on an analysis of some implementations // Conference on computer science and information systems (FedCSIS 2020). 4 pages.
Kutsenko A. On metrical properties of the set of self-dual bent functions // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 7 pages (in Russian)
Maksimlyuk J. Cryptographic properties of the orthomorphisms // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 2 pages (in Russian).
Pintus G.M. (Novosibirsk). On the decomposition of a vector Boolean function into a composition of two vector functions // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement (in Russian). 3 pages.
Sutormin I.A. (Novosibirsk). Estimation of the nonlinearity of balanced Boolean functions generated by the generalized Dobbertin construction // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement (in Russian). 3 pages.
Shaporenko A. S. (Novosibirsk). Relationship between Quaternary and component Boolean bent functions// Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement (in Russian). 3 pages.
Kalgin K., Idrisova V. On a secondary construction of quadratic APN functions // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 3 pages.
Zapolskiy M.M., Tokareva N.N. (Novosibirsk). On one-to-one property of a vectorial Boolean function of the special type // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 3 pages.
Zyubina D.A., Tokareva N.N. (Novosibirsk). Cryptographic properties of a simple S-box construction based on a Boolean function and a permutation // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 3 pages.
Bonich T., Panferov M., Tokareva N. On the number of unsuitable Boolean functions in constructions of filter and combiner models of stream ciphers // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 4 pages.
Kondyrev D. A method for hiding private data for blockchain-based tender systems // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 2 pages. (in Russian)
Belousova A., Tokareva N. On differentials of the Simon cipher modification based on the Lai-Messi scheme // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 2 страницы.
Doronin A., Kalgin K. Application of SAT solvers for constructing Boolean functions with specified cryptographic properties // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 3 страницы.
Sofronova D., Kalgin K. On application of SAT-solvers in cryptanalysis // Proceedings of the conference SIBECRYPT’2020 – Siberian school-conference “Cryptography and computer security”; Applied Discrete Mathematics. Supplement. 3 pages (in Russian)
Zavalishina E.V. The number of solutions for a certain type of comparisons over prime field // Proceedings of the Malcev meeting (Новосибирск, Ноябрь15-20, 2020). 2020. 1 pages.
2019
Oblaukhov A. Metrically regular subsets of the Boolean cube // Сonference Boolean Functions and their Applications (BFA) 2019. June 16-21 2019 г. Florence, Italy.
Gorodilova A. Properties of associated Boolean functions of quadratic APN functions // Applied discrete mathematics. Discrete functions. Supplement. 2019. № 12. С. 77-79. DOI: 10.17223/2226308X/12/24
Kutsenko A. Isometric Mappings of the Set of all Boolean Functions into Itself which Preserve Self-duality and the Rayleigh Quotient // Сonference Boolean Functions and their Applications (BFA) 2019. (June 16-21 2019 г. Florence, Italy.). DOI: 10.17223/2226308X/12/16
Kolomeets N. A. on properties of bent functions constructed from a certain bent function using subspaces / / ADM. Supplement, 2019, No. 12, 50-53.
Kutsenko A. On Isometric Mappings of the Set of All Boolean Functions into Itself Which Preserve Self-duality and the Rayleigh Quotient // VIII symposium "Current Trends in Cryptography" CTCrypt 2019 (Svetlogorsk, Kaliningrad region June 4-7, 2019)
Kuzmina T. On the cubic part of an algebraic normal form of an arbitrary bent function // ADM. Supplement, 2019, № 12, 53–55. (Proceedings of the conference SIBECRYPT’2019 – Siberian school-conference “Cryptography and computer security”) DOI: 10.17223/2226308X/12/15
Kutsenko A.V. Isometric mapping of the set of all Boolean functions to itself, preserving self-duality and Rayleigh relation // ADM. Supplement, 2019, № 12, 55–58 (Proceedings of the conference SIBECRYPT’2019 – Siberian school-conference “Cryptography and computer security”). DOI: 10.17223/2226308X/12/16
Miloserdov A. On the relation of nonlinear and differential properties of vector Boolean functions // ADM. Supplement, 2019, № 12, 55–58 (Proceedings of the conference SIBECRYPT’2019 – Siberian school-conference “Cryptography and computer security”). DOI 10.17223/2226308X/12/18
Shaporenko A.S. On the relationship between Quaternary and Boolean bent function // ADM. Supplement, 2019, № 12, 53–55. ((Proceedings of the conference SIBECRYPT’2019 – Siberian school-conference “Cryptography and computer security”). DOI: 10.17223/2226308X/12/22
2018
Oblaukhov A. K. Lower power estimation of the largest metrically regular subset of a Boolean cube // SIBERCRYPT'18 Conference. September 3-8, 2018, Abakan. Applied Discrete Mathematics. Supplement. 2018. № 11. С. 14-16. DOI: 10.17223/2226308X/11/4
Zbitnev, N., Shishlyannikov, D., Gridin, D. Probabilistic block cipher // Proceedings of the 2018 Federated Conference on Computer Science and Information Systems, FedCSIS 2018 8511228, с. 603-606
Sazonova P.A., Krendelev S.F., Hash function resistant to attack by quantum computers // Proceedings of the Federated Conference on Computer Science and Information Systems, 2018, Vol. 15, pp. 387–390 DOI: 10.15439/2018F254
Krendelev S., Zavalishina E., Gridin D. Public Key and Digital Signature for Blockchain Technology // Proceedings of Intelligent Systems Conference (IntelliSys) 2018 6-7 September 2018 | London, UK, С. 367
Kutsenko A.V. On some properties of self-dual bent functions // SIBERCRYPT'18 Conference. September 3-8, 2018, Abakan. Applied Discrete Mathematics. Supplement. 2018, № 11, 44–46 . DOI: 10.17223/2226308X/11/13
Kolomeets N. A. On some properties of the construction of bent functions using subspaces of arbitrary dimension // ADM. Supplement, 2018, № 11, 41–43. DOI: 10.17223/2226308X/11/12
2017
Oblaukhov A.K. On maximal metrically regular sets // Конференция SIBECRYPT’17. Applied Discrete Mathematics. Supplement. 2017. № 10. С. 23-24. DOI: 10.17223/2226308X/10/8
Volkov E., Baranov A., Zavalishina E. Cryptographic system with public key // Second Conference on Software Engineering and Information Management (SEIM-2017), С. 41-44
2015
Oblaukhov A. K. On some metric properties of linear subspaces of a Boolean cube // SIBECRYPT’15. Applied Discrete Mathematics. Supplement. 2015. № 8. С. 13-15