12 papers
The quasi-convex Rockafellar theorem
Luigi De Pascale, Paul Pegon
Rockafellar showed that every cyclically monotone operator is contained in the subdifferential of a convex function, and characterized the maximal ones. We establish the quasi-conv…
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…
Advanced MST3 Encryption scheme based on generalized Suzuki 2-groups
Gennady Khalimov, Yevgen Kotukh
This article presents a method for enhancing the encryption algorithm in the MST3 cryptosystem for generalized Suzuki 2-groups. The conventional MST cryptosystem based on Suzuki gr…
Improved MST3 Encryption scheme based on small Ree groups
Gennady Khalimov, Yevgen Kotukh
This article presents an encryption scheme based on the small Ree groups. We propose utilizing the small Ree group structure to enhance the overall security parameters of the encry…
Encryption scheme based on Automorphism Group of Hermitian Function Field with Homomorphic Encryption
Gennady Khalimov, Yevgen Kotukh
This article proposes a comprehensive approach to implementing encryption schemes based on the automorphism group of the Hermitian function field. We utilize a three-parameter grou…
Cryptographic Strengthening of MST3 cryptosystem via Automorphism Group of Suzuki Function Fields
Gennady Khalimov, Yevgen Kotukh
The article describes a new implementation of MST3 cryptosystems based on the automorphism group of the Suzuki function field. The main difference in the presented implementation i…
SIGNLINE: Digital signature scheme based on linear equations cryptosystem
Gennady Khalimov, Yevgen Kotukh, Maksym Kolisnyk +2
The paper explores a novel cryptosystem for digital signatures based on linear equa-tions for logarithmic signatures. A logarithmic signature serves as a fundamental cryptographic…