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Yurii Gorbenko, Anastasiia Kiian, Andriy Pushkar’ov, Oleksandr Korneiko, Serhii Smirnov, Tetiana Kuznetsova


In this paper the basic principles of construction and operation of McEliece and Niederreiter cryptosystems based on the use of error-correcting codes were considered. A new hybrid cryptosystem that combines the rules of encryption according to the above-mentioned schemes is proposed. Also, this paper presents the analysis and comparative studies from the standpoint of stability, the volume of public and private keys, length of ciphertext and relative speed of information transmission of the new proposed scheme and McEliece and Niederreiter cryptosystems. It is considered from an analytical point of view and with the help of graphic images. Comparative studies revealed that the hybrid cryptosystem retains the positive aspects of its predecessors, as well as allows us to increase the relative transmission rate with the preservation of the stability indicator to the classical and quantum cryptanalysis. One disadvantage is the increase in decoding time by adding information extracted as in Niederreiter scheme, but the increase in this indicator is not critical. Despite the demonstrated benefits, it remains open to all cryptosystems to reduce the amount of the used key data, which, in the case of quantum computers to maintain stability, still needs to be increased once.


Algebraic codes; Code-based cryptography; McEliece cryptosystem; Niederreiter cryptosystem; Public-key cryptosystem; Post-quantum cryptosystem.

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