qTESLA

qTESLA is a quantum-resistant public-key encryption algorithm that was a finalist in the National Institute of Standards and Technology (NIST) Post-Quantum Cryptography Standardization process. It is based on the hardness of the Learning With Errors (LWE) problem over module rings. qTESLA offers encryption and digital signature capabilities, making it suitable for a range of security applications. Its security relies on the assumption that solving the LWE problem is computationally infeasible for both classical and quantum computers. The algorithm is designed to be efficient, with a focus on balancing security levels with computational performance. During the NIST standardization process, qTESLA was evaluated alongside other candidate algorithms, undergoing extensive scrutiny from cryptographers worldwide. While it was not selected as a final standard, its development contributed significantly to the understanding and progress of post-quantum cryptography. The design of qTESLA involves parameters that can be adjusted to achieve different security and performance trade-offs. Its underlying mathematical structure offers a different approach to quantum resistance compared to other PQC candidates.