LINE: Cryptosystem based on linear equations for logarithmic signatures

ePrint Report: LINE: Cryptosystem based on linear equations for logarithmic signatures

Gennady Khalimov, Yevgen Kotukh, Maksym Kolisnyk, Svitlana Khalimova, Oleksandr Sievierinov

The discourse herein pertains to a directional encryption cryptosystem predicated upon logarithmic signatures interconnected via a system of linear equations (we call it LINE). A logarithmic signature serves as a foundational cryptographic primitive within the algorithm, characterized by distinct cryptographic attributes including nonlinearity, noncommutativity, unidirectionality, and factorizability by key. The confidentiality of the cryptosystem is contingent upon the presence …

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