On December 16, we organized a scientific seminar on “Lattice-based Cryptography: From LWE to Public-key Encryption”. The scientific seminar was led by Martin Kalúz, a lecturer at the Institute of Information Engineering, Automation and Mathematics FCFT STU. The scientific seminar was organised in the framework of the FrontSeat project, as part of the seminar series on “Research Seminar on Smart Cybernetics”.

Martin Kaluz


In this seminar, the Learning with Errors (LWE) problem will be discussed, mostly because it exploits computational hardness assumptions associated with lattices. Many geometric problems on lattices are known to be NP-hard and considered secure against quantum algorithms. This makes them an ideal candidates for building secure cryptographic protocols. LWE and its ring version (RLWE), as a problems closely associated with lattices, are the fundamental building blocks of modern noisy cryptographic schemes. Many of these schemes have build-in homomorphic properties, thus can be used for security-related applications in many areas, including a secure process control. This seminar will be mainly focused on explaining the core principles of LWE and will show how a simple cryptosystem can be derived from it. This will be also practically demonstrated on a public-key asymmetric protocol implemented in MATLAB.

This project has received funding from the European Union’s Horizon under grant no. 101079342 (Fostering Opportunities Towards Slovak Excellence in Advanced Control for Smart Industries).


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