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The article discusses issues related to the post-quantum public key cryptosystem based on algebraic coding—the Niederreiter cryptographic system. Comparison of this cryptosystem with others that are also based on linear codes. The value, uniqueness, cryptographic strength, as well as the encryption algorithm and scheme of this system, its modification and optimization are considered. A description of the Niederreiter cryptosystem is proposed. The developed algorithm is a modification of the Niederreiter cryptosystem with improved cryptographic strength. To improve the software implementation, the proposed algorithm was also optimized, analytically analyzed and all its advantages were proved. The work of the embedded software with the Niddereiter cryptosystem and with the McEliece cryptosystem is shown. We performed a comparative analysis of the performance of cryptographic systems not only with each other according to the software algorithm, but also considered individual cases with Hamming codes and with Reed-Muller codes. Comparative characteristics of each of the cryptosystems, their advantages and disadvantages are shown. |
