MATHEMATICAL MODELS OF HYBRID CRYPTO CODE CONSTRUCTIONS ON DAMAGED CODES
Serhii Yevseiev, Lala Rustam Bakirova, Mariia Sushchenko · Advanced Information Systems · 2019
Ab s t r a c t.The subject are mathematical models of building hybrid (complex) cryptosystems based on Mac-Elis cryptocode constructions on damaged codes.The purpose of this work is cryptographic mechanisms design in post-quantum cryptography to provide basic security services.The use of crypto-code structures in the mechanisms of strong authentication based on OTP passwords Development of practical algorithms for their implementation based on the proposed mathematical models.The tasks: analysis of the main threats of using OTP passwords; basics of construction and using multi-channel cryptography systems on damaged codes; a formal description of mathematical models of hybrid crypto-code constructions on damaged codes based in the modified McEliece and Niederreiter crypto-code systems in elliptic curves; development of algorithms for data encryption and decryption at the Niederreiter-McEliece hybrid crypto code constructions (НССС).Conclusion: The comprehensive protection mechanisms proposed in the article ensure the use of a strong authentication protocol in post-quantum cryptography based on OTP passwords.The use of damaged codes extends the possibilities of using crypto-code structures by significantly reducing the power of the alphabet while maintaining the required level of cryptographic resistance.