Sirvi Autor "Farzaliyev, Valeh, juhendaja" järgi

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Applications of Semigroup Actions to the Cryptanalysis of Diffie-Hellman-like Schemes
(Tartu Ülikool, 2025) Pärn, Calvin; Farzaliyev, Valeh, juhendaja; Tartu Ülikool. Loodus- ja täppisteaduste valdkond; Tartu Ülikool. Matemaatika ja statistika instituut
In this master’s thesis we examine semigroup actions and how they can be applied in the cryptanalysis of different cryptographic schemes by generalizing the schemes and viewing the underlying computational problems as problems regarding semigroup actions. We present an attack scenario against a generalized Diffie-Hellman protocol, which can be used if the underlying semigroup is close to a matrix algebra. We show how to use the approach to break one scheme proposed by the author and also a special case of an ElGamal-like scheme, which is based on Chebyshev polynomials.
Post-Quantum Secure Cloud Computation Over Encrypted Data
(Tartu Ülikool, 2024) Gulmammadov, Toghrul; Farzaliyev, Valeh, juhendaja; Tartu Ülikool. Loodus- ja täppisteaduste valdkond; Tartu Ülikool. Tehnoloogiainstituut
In recent years, cloud computing has gained significant popularity as businesses increasingly use it for data training purposes. However, this widespread adoption raises privacy concerns, particularly in light of regulations such as the GDPR. Additionally, there is an imminent need to prepare for the potential threats posed by quantum computers, which can easily break most current encryption methods. In response to these challenges, we have undertaken research on "Post-Quantum Secure Cloud Computation Over Encrypted Data" to address privacy issues in a manner resilient to quantum attacks. Our study provides a detailed proof of concept, using Zama’s "Encrypted Health Prediction" tutorial as an example, to demonstrate the feasibility and practicality of creating SaaS applications that are secure against quantum threats and capable of training encrypted data in the cloud.