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Cryptography, Volume 9, Issue 1
March 2025 - 20 articles
Cover Story: Fully Homomorphic Encryption (FHE) represents a revolutionary advancement in cryptography, enabling computations on encrypted data without prior decryption. This paper examines the Gentry–Sahai–Waters (GSW) FHE scheme, addressing two critical limitations: restricted message data ranges and excessive ciphertext size. We propose significant improvements through Chinese Remainder Theorem-based message decomposition, expanding input ranges to the entire plaintext space. Additionally, we implement an intuitive approximation method for decryption and adapt PVW-like compression techniques to reduce memory overhead. These enhancements make the GSW scheme more practical and efficient for real-world secure computation applications, overcoming key barriers to widespread FHE adoption in privacy-preserving data processing environments. View this paper
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Cryptography - ISSN 2410-387X