10 papers
LINEture: novel signature cryptosystem
Gennady Khalimov, Yevgen Kotukh
We propose a novel digital signature cryptosystem that exploits the concept of the brute-force problem. To ensure the security of the cryptosystem, we employed several mechanisms:…
Security Parameter Analysis of the LINEture Post-Quantum Digital Signature Scheme
Yevgen Kotukh, Gennady Khalimov
This paper presents a comprehensive cryptographic analysis of the security parameters of the LINEture post-quantum digital signature scheme, which is constructed using matrix algeb…
LINE: Public-key encryption
Gennady Khalimov, Yevgen Kotukh
We propose a public key encryption cryptosystem based on solutions of linear equation systems with predefinition of input parameters through shared secret computation for factoriza…
Secured Encryption scheme based on the Ree groups
Gennady Khalimov, Yevgen Kotukh
An improved design of a cryptosystem based on small Ree groups is proposed. We have changed the encryption algorithm and propose to use a logarithmic signature for the entire Ree g…
MST3 Encryption improvement with three-parameter group of Hermitian function field
Gennady Khalimov, Yevgen Kotukh
This scholarly work presents an advanced cryptographic framework utilizing automorphism groups as the foundational structure for encryption scheme implementation. The proposed meth…
-symmetric mapping of three states and its implementation on a cloud quantum processor
Yaroslav Balytskyi, Yevgen Kotukh, Gennady Khalimov +1
-symmetric systems have garnered significant attention due to their unconventional properties. Despite the growing interest, there remains an ongoing debate about whe…