Mathematical models of message authentication in the post-quantum cryptosystems based on error-correcting coding
Abstract
The paper discusses possibilities for use of message authentication signatures schemes based on error-correcting coding which may be candidates for use in post-quantum cryptography. Code-based cryptography draws attention not only highly resistant to attacks of various kinds, but also performance hardware implementation and the additional advantage of the ability to correct errors in the transmission signals over data channels. Digital signatures algorithm based on error-correcting coding is described. The results of computer simulation of the algorithm for the case of the use of Reed-Solomon codes are presented. The cost of software implementation of this algorithm is evaluated. There is shown that promising in the use of error-correcting codes for message authentication.
Keywords
Mатематическое моделирование криптопримитивов,
модели и методы аутентификации,
пост-квантовая криптография,
криптография на основе помехоустойчивых кодов,
цифровая подпись,
Mathematical modeling of cryptoprimitives,
models and methods of authentication,
Post-Quantum Cryptography,
Code-based Cryptography,
Digital Signatures
About the Authors
Aleksandr Aleksandrovich Kuznetsov
V. N. Karazin Kharkiv National University
Russian Federation
Russian Federation
Igor Ivanovich Svatovskiy
V. N. Karazin Kharkiv National University
Russian Federation
Russian Federation
Aleksey Vladimirovich Shevtsov
Kharkiv National University of Radio Electronics
Russian Federation
Russian Federation
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Review
For citations:
Kuznetsov A.A., Svatovskiy I.I., Shevtsov A.V. Mathematical models of message authentication in the post-quantum cryptosystems based on error-correcting coding. Science. Innovations. Technologies. 2017;(2):29-42. (In Russ.)
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