10 papers
Sub-Cubic Quantum Gate Synthesis via Stochastic Commutator Decomposition
Yevgen Kotukh
We present Stochastic Commutator Synthesis, a hybrid quantum gate compilation framework that integrates Kuperberg's sub-cubic Solovay-Kitaev exponent c near 1.44042 with the error-…
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…