collaborators

6 papers

cs.CR2025

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…

cs.CR2025

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…

cs.CR2025

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…

cs.CR2025

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…

cs.CR2025

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…

cs.CR2025

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…