McELIECE AND NIEDERREITER CRYPTOCODE STRUCTURE MODELS
Vadym Stetsenko, Pierre Murr, Андрій Ткачов, Олександр Анатолійович Лаптєв, Marharyta Melnyk · Terra security · 2025
The relevance of the research lies in ensuring information security by creating cryptographic solutions that combine high performance, resistance to quantum attacks and the possibility of effective implementation in resource-limited devices. The subject of study is the approaches and strategies for using code cryptosystems, in particular the McEliese and Niederreiter crypto-code constructions, as basic mechanisms for building cryptographic systems resistant to attacks. The purpose of the article is to substantiate the prospects of using code cryptosystems as basic mechanisms for building cryptographic systems resistant to attacks on quantum computers. To develop algorithms for generating and decoding cryptograms, to analyze their algorithmic complexity. Research results. The prospects for using code cryptosystems as basic mechanisms for building cryptographic systems are substantiated. The algorithms for generating and decoding cryptograms were developed, their algorithmic complexity was analyzed, and the potential for integrating such structures into real systems was assessed. Conclusion. The study allows reveal advantages of a systematic approach in planning speed of action thanks to previous calculation syndromes. The solutions for algorithmic difficulties indicate a high efficiency crypto protection, which makes them suitable for use in modern information systems.