Analysis of block symmetric algorithms from international standard of lightweight cryptography ISO/IEC 29192-2

Kuznetsov, Alexandr; Gorbenko, Yurii Ivanovich; Andrushkevych, Alina; Belozersev, Ivan

doi:10.1109/infocommst.2017.8246380

Cited by 35 publications

(9 citation statements)

References 21 publications

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“…Складність завдань, які вирішуються сучасними системами і засобами обробки цілочисельної інформації (ЗОІ), обумовлює до них підвищені вимоги щодо якості обробки інформації [1][2][3][4][5][6][7][8]. Рішення широкого кола складних обчислювальних задач вимагає (наприклад, реалізація асиметричних криптографічних алгоритмів, оптимізація обчислень в теорії сигналів та шумостійке кодування [4,[8][9][10][11], реалізація симетричних крипто-примітивів [12][13][14][15][16][17][18] та багато іншого [19][20][21][22]) значних обсягів розрахунків, які проводяться в реальному часі функціонування ЗОІ. В цьому аспекті пошук методів і засобів підвищення продуктивності обробки цифрової інформації, є актуальним [23][24][25][26][27][28][29][30].…”

Section: вступunclassified

Mathematical model of the process of tabular’s implementation of the operation algebraic multiplication in the residues class

Краснобаєв¹,

Зуб²,

Reshetniak³

et al. 2019

Computer Science and Cybersecurity

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Based on the properties of the class of residues in the article, a mathematical model of the process of tabular implementation of modular multiplication was synthesized, for both positive and negative numerical ranges of information processing by means of integer information processing. This model is recommended for practical application in the development of methods and algorithms for rapid processing of cryptographic information. Finding ways to simplify the structure of the table operating device integer information processing has led to the need to improve the mathematical model, methods and algorithms for modular operations, which increase the efficiency of the use of table arithmetic in the class of residues. A feature of the implementation of this model is the possibility of reducing the number of equipment operating device integer information by reducing the (50-70)% of logical elements "And" in the nodes of the table permanent storage device, directly implement the operation of modular multiplication by arbitrary mi module residual class. This is possible by using the symmetry properties of the aibi (mod mi) implementation table of the modular multiplication operation.

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Section: вступunclassified

Mathematical model of the process of tabular’s implementation of the operation algebraic multiplication in the residues class

Краснобаєв¹,

Зуб²,

Reshetniak³

et al. 2019

Computer Science and Cybersecurity

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“…Ideally, the linear complexity should be close to or equal to the period of the sequence [25][26][27][28][29][30][31][32][33][34]. Linear complexity was obtained by Golomb in [35].…”

Section: Linear Complexitymentioning

confidence: 99%

Opportunities to Minimize Hardware and Software Costs for Implementing Boolean Functions in Stream Ciphers

Кuznetsov¹,

Potii²,

Poluyanenko³

et al. 2019

IJC

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Currently, nonlinear Boolean functions are actively investigated worldwide. However, many questions remain unanswered. The theory of nonlinear Boolean functions that are suitable for use in cryptographically strong algorithms is significantly incomplete. Despite the existence of numerous publications on these themes, many issues related to the interconnection of design characteristics affecting the generator’s performance and its cryptographic characteristics still remain unsolved. The possibility of generating a special type of sequence, called de Bruijn sequence, at minimal hardware and software costs to implement nonlinear Boolean functions in stream encryption systems, is the main subject of this work. The paper presents the possible structure boundaries (algebraic degree of a Boolean function, the number of monomials in a function) of iterative de Bruijn sequence bitrate generators for various generated sequence characteristics, such as linear complexity and autocorrelation function. The profile of the linear complexity of the studied sequences is close to the expected value of the linear complexity, as well as for a truly random sequence.

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“…4. Перспективним напрямком подальших досліджень є розробка практичних рекомендацій щодо адаптації запропонованого методу до специфіки завдань криптографії [22][23][24][25][26][27][28][29][30], цифрової обробки сигналів [20,21,[31][32][33], та вирішення комплексу інших [34][35][36][37][38][39][40][41][42] обчислювальних задач.…”

Section: приклади конкретної реалізації методу контролю даних в кзunclassified

Data control method, which presented by code of non-positioning system of deduction class calculation

2019

Computer Science and Cybersecurity

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The paper proposes a new method of monitoring data presented in non-positional residue class system. For code in residue class system, test bases are included in the general code structure of data containing a set of information bases. In this case, the balances that represent operations for informational and control grounds simultaneously and independently participate in the process of information processing. The result of the information processing can be monitored either step by step or at the end of all calculations, since the error that occurred in any residue, does not apply (does not “multiply”) to the remaining residues. The control method proposed based on the principle of comparison, further creates prerequisites for developing effective methods for diagnosing and correcting errors in deduction class. The disadvantage of the proposed method is the relatively low control efficiency. This circumstance makes it necessary to increase the efficiency of data processing system control in deduction class by reducing the execution time of the above operations by developing and using, for example, methods and means for implementing the positional features of the non-positional deduction class code.

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Analysis of block symmetric algorithms from international standard of lightweight cryptography ISO/IEC 29192-2

Cited by 35 publications

References 21 publications

Mathematical model of the process of tabular’s implementation of the operation algebraic multiplication in the residues class

Mathematical model of the process of tabular’s implementation of the operation algebraic multiplication in the residues class

Opportunities to Minimize Hardware and Software Costs for Implementing Boolean Functions in Stream Ciphers

Data control method, which presented by code of non-positioning system of deduction class calculation

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