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О некоторых направлениях научных исследований в области криптоанализа симметричных алгоритмов
Вестник НГУЭУ. 2016. № 3. С. 290–298.
A survey of some important scientic directions in the sphere of symmetric cryptography is presented. We emphasize problems connected with weak keys, with statistical analysis of symmetric algorithms and with investigation of iterative constructions. Some problems, specic to stream ciphers, iterative block ciphers and cryptographic hash-functions, are considered. We also advocate practical significance of scientic work in cryptanalysis and sketch it's basic principles.
Якушенокс К. П., Ivanov F., / Series Computer Science "arxiv.org". 2023. No. 2312.15912.
Tavernier and Kabatiansky proposed new variants of the McEliece cryptosystem. In this letter, it is shown that cryptosystem based on correction of errors erasures is equal to the McEliece cryptosystem with worse parametrs public key. It will also add an organic extension of the authors’ idea, although one that has its flaws... ...
Added: September 4, 2024
Chukhno A., Курочкин А. В., Фомичев В. М., Прикладная дискретная математика. Приложение 2022 Т. 15 С. 73–77
In this paper, new results of the analysis of the KB 256-3 block cipher algorithm are outlined. We set up a difference relation with probability 1 for the six-round algorithm under study and propose a key recovery method using this difference relation for the nine-round KB 256-3 algorithm. We construct an impossible differential for the ...
Added: May 6, 2024
Chukhno A., Курочкин А. В., Бобровский Д. А., Прикладная дискретная математика. Приложение 2023 Т. 16 С. 56–57
Построено разностное соотношение для алгоритма шифрования КБ-256. Вероятность его выполнения для 15 из 16 раундов не меньше чем 2−1342−134. ...
Added: May 6, 2024
Chukhno A., Дмух А. А., Astrakhantsev R. et al., Journal of Computer Virology and Hacking Techniques 2024
In this paper differences with probability 1 were found for 6 and 7 rounds of KB-256 block cipher. Also using Biham’s et al. shrinking technique we find more than 1700 impossible differentials for the KB-256 cipher with number of rounds from 8 up to 18 (2 rounds more than in the original KB-256) ...
Added: May 6, 2024
Chukhno A., Расторгуева М. С., В кн.: Алгебра, теория чисел, дискретная математика и многомасштабное моделирование: современные проблемы, приложения и проблемы истории. Материалы XXII Международной конференции, посвящённой 120-летию со дня рождения академика Андрея Николаевича Колмогорова и 60-летию со дня открытия школы-интерната № 18 при Московском университете.: [б.и.], 2023. С. 164–166.
Зачастую, при оценке надежности алгоритмов блочного шифрования, возникают задачи, связанные с исследованием свойств и характеристик множеств подстановок. Подстановки зачастую являются самостоятельными элементами итерационных преобразований соответствующих механизмов защиты. В этой связи изучение свойств подстановок, максимально усложняющих проведение процедуры дешифрования, приобретают особую практическую и теоретическую значимость. С другой стороны, сам алгоритм блочного шифрования можно рассматривать как случайную ...
Added: May 6, 2024
Malashina A., Doklady Mathematics 2024 Vol. 108 No. 2 P. S282–S292
To provide secure information exchange in communication channels, the correctness of the operation of the relevant information protection systems must be preliminary studied. The mathematical algorithms used in such systems are correct and can theoretically provide the correct statistical properties of the output stream compared to the input. However, at the stage of implementation (programming) ...
Added: November 11, 2023
Малашина А. Г., Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика) 2023 Т. 514 № 2 С. 138–149
В целях обеспечения защищенного информационного обмена в каналах связи необходимо предварительное исследование корректности работы соответствующих систем защиты информации. Несмотря на то что используемые в таких системах математические алгоритмы корректны и теоретически обеспечивают правильные статистические свойства выходного потока по сравнению с входным, на этапе реализации (программирования) данных алгоритмов защиты или на этапах сборки конечного оборудования (использования ...
Added: November 1, 2023
Маршалко Г. Б., Денисенко Д. В., Рудской В. И. et al., Journal of Experimental and Theoretical Physics 2019 Vol. 128 No. 4 P. 552–559
Following the approach proposed in [3], we estimate resources of a quantum computer required for solving the key search problem of block cipher algorithms Kuznechik and Magma, defined by the national standard GOST R 34.12-2015, with the use of Grover’s quantum algorithm. ...
Added: October 7, 2022
G. B. Marshalko, Rudskoy V. I., Математические вопросы криптографии 2020 Vol. 11 No. 2 P. 99–110
We study the possibility of applying related key attacks to cryptographic devices with hybrid key systems, when a session key is generated from a long-term «classical» key and a key generated via quantum key distribution (QKD). For the simplest system that XORes quantum key and long-term key we study the impact of compromising the «quantum» ...
Added: October 7, 2022
Fomin D., Journal of Computer Virology and Hacking Techniques 2022 Vol. 18 P. 61–67
Currently numerous cryptographic systems are based on SP-networks. These primitives are supposed to be secure but recent investigations show that some attacks are possible. The aim of this work is to study how secure the Russian standardized block cipher Kuznyechik over invariant attacks. We study the already known decompositions of its permutation and show the ...
Added: November 29, 2021
Perov A., Инновации в жизнь 2016 № 2(17) С. 89–97
The statistical analysis of iterative block ciphers is carried out for detection of dependences of statistical properties of output sequence depending on number of rounds. It is reasonable to utilize source codes available in the Internet, but their integration into own programs is impeded by at least the following reasons. Firstly, different implementations have different ...
Added: November 1, 2021
Perov A., Пестунов А. И., Прикладная дискретная математика 2020 № 3 С. 46–56
The paper explores possibility of applying convolutional neural networks to the security analysis of iterative block ciphers. A new approach for constructing distinguishing
attacks based on a convolutional neural network is proposed. The approach is based
on distinguishing between graphic equivalents of ciphertexts received by the CTR
(counter) encryption mode after different number of rounds, including the number
of ...
Added: November 1, 2021
Авраамова О. Д., Fomin D., Серов В. А. et al., Математические вопросы криптографии 2021 Vol. 12 No. 2 P. 21–38
In this paper we consider a bit-sliced implementation of the non-linear transformation shared by GOST R 34.12-2015 “Kuznyechik” block cipher and GOST R 34.11-2012 “Streebog” hash function. We combine analytical and computer methods to get a 226 Boolean operations representation. ...
Added: July 26, 2021