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arXiv · 2501.03249

Homomorphic Encryption Based on Lattice Post-Quantum Cryptography

Abel C. H. Chen
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Abstract

As quantum computing technology continues to advance, post-quantum cryptographic methods capable of resisting quantum attacks have emerged as a critical area of focus. Given the potential vulnerability of existing homomorphic encryption methods, such as RSA, ElGamal, and Paillier, to quantum computing attacks, this study proposes a lattice-based post-quantum homomorphic encryption scheme. The approach leverages lattice cryptography to build resilience against quantum threats while enabling practical homomorphic encryption applications. This research provides mathematical proofs and computational examples, alongside a security analysis of the lattice-based post-quantum homomorphic encryption scheme. The findings are intended to serve as a reference for developers of homomorphic encryption applications, such as federated learning systems.

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Abel C. H. Chen. 2024-12-23. Homomorphic Encryption Based on Lattice Post-Quantum Cryptography. https://doi.org/10.1109/icsses64899.2025.11009905

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