Research of collision properties of the modified UMAC algorithm on crypto-code constructions

Keywords: UMAC, crypto-code constructions, hybrid crypto-code constructions, collision, method of versatility

Abstract

The transfer of information by telecommunication channels is accompanied by message hashing to control the integrity of the data and confirm the authenticity of the data. When using a reliable hash function, it is computationally difficult to create a fake message with a pre-existing hash code, however, due to the weaknesses of specific hashing algorithms, this threat can be feasible. To increase the level of cryptographic strength of transmitted messages over telecommunication channels, there are ways to create hash codes, which, according to practical research, are imperfect in terms of the speed of their formation and the degree of cryptographic strength. The collisional properties of hashing functions formed using the modified UMAC algorithm using the methodology for assessing the universality and strict universality of hash codes are investigated. Based on the results of the research, an assessment of the impact of the proposed modifications at the last stage of the generation of authentication codes on the provision of universal hashing properties was presented. The analysis of the advantages and disadvantages that accompany the formation of the hash code by the previously known methods is carried out. The scheme of cascading generation of data integrity and authenticity control codes using the UMAC algorithm on crypto-code constructions has been improved. Schemes of algorithms for checking hash codes were developed to meet the requirements of universality and strict universality. The calculation and analysis of collision search in the set of generated hash codes was carried out according to the requirements of a universal and strictly universal class for creating hash codes

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Author Biographies

Serhii Yevseiev, Simon Kuznets Kharkiv National University of Economics

Department of Cyber Security and Information Technology

Alla Havrylova, Simon Kuznets Kharkiv National University of Economics

Department of Cyber Security and Information Technology

Olha Korol, Simon Kuznets Kharkiv National University of Economics

Department of Cyber Security and Information Technology

Oleh Dmitriiev, Flight Academy of National Aviation University

Department of Flight Operations, Aerodynamics and Flight Dynamics

Oleksii Nesmiian, Ivan Kozhedub Kharkiv National Air Force University

Department of Mathematical and Software of Automated Control Systems

Yevhen Yufa, National Defence University of Ukraine named after Ivan Cherniakhovskyi

Department of Radio-Technical and Special Troops

Asadi Hrebennikov, State University of Telecommunications

Department of Technical Information Protection Systems

Information Security Institute

References

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Published
2022-01-10
How to Cite
Yevseiev, S., Havrylova, A., Korol, O., Dmitriiev, O., Nesmiian, O., Yufa, Y., & Hrebennikov, A. (2022). Research of collision properties of the modified UMAC algorithm on crypto-code constructions. EUREKA: Physics and Engineering, (1), 34-43. https://doi.org/10.21303/2461-4262.2022.002213
Section
Computer Science