აბსტრაქტი. The development of quantum-resistant solutions is imperative as the emergence of quantum computing presents a substantial risk to existing cryptography systems. Lattice-based cryptography, especially schemes based on the Learning with Errors (LWE) problem, is one of the most promising methods. To guarantee long-term security, even LWE-based methods could need to be strengthened further as quantum algorithms advance. By mixing Gaussian and discrete uniform distributions to create a mixed error distribution, this work enhances the classic LWE problem. The experimental findings show that, with a slight rise in computing overhead, the mixed error distribution improves the security of the LWE problem by strengthening its resistance to quantum techniques. By presenting a novel approach for enhancing the resilience of cryptographic methods in the quantum era, this research contributes to the continuing work in post-quantum cryptography. Moreover, it introduces the direction of future model improvements and provides multidisciplinary methods for increasing the complexity of cryptographic algorithms.