Coding theory is one of the leading fields in Bulgarian mathematics. Started by Acad. Stefan Dodunekov over 40 years ago, the research in coding theory in Bulgaria is recognized worldwide for its achievements in various fields of data protection. The field is dynamic and constantly changes as mathematical apparatus, computational needs and practical applications. Modern coding theory is characterized with broadening theoretical background (algebraic geometry, quantum theory, commutative algebra, finite geometry), increasing importance and increased interest from the innovation sector, due to the fact that it provides the theoretical backbone of almost all digital technologies.
The current project focuses on several ideas for fundamental research in coding theory and cryptography, which have deep connections with other fields of mathematics and computer science, good perspectives for future development of the theoretical results to higher technology readiness levels and active interest both from academic research groups and private entities, which can be turned into a basis for future partnerships.
The chosen fields are united by the concepts of the geometric nature of the main problem of coding theory, and of the nonlinearity and noninvertability being main principles in the security of modern cryptographic primitives. The approach towards these concepts will be using fundamentally mathematics and informatics. Development of new algorithms and computing will be focused on obtaining strong results with potential practical importance. The research group consists of senior researchers with international reputation and experience in project coordination, their long-term collaborators and young researchers with practical experience, who can provide a novel point of view to the topics of research. The internships, planned as part of the project will allow additional development of the Bulgarian expertise in the field and will allow for greater collaboration between the leading organization and tertiary education.