PIE: \(p\)-adic encoding for high-precision arithmetic in homomorphic encryption

DOI10.1007/978-3-031-33488-7_16zbMATH Open1542.94127MaRDI QIDQ6535086

Luke J. Harmon, Arnab Roy, David Silva, Gaetan Delavignette

Publication date: 9 November 2023

zbMATH Keywords

HE-compatible encoding methodnew encoding scheme

Mathematics Subject Classification ID

Cryptography (94A60) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

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• Error-free computation with rational numbers
• Parallel p-adic method for solving linear systems of equations
• Fixed-point arithmetic in SHE schemes
• CRT-based fully homomorphic encryption over the integers
• High-precision arithmetic in homomorphic encryption
• Homomorphic encryption for arithmetic of approximate numbers
• Which Ring Based Somewhat Homomorphic Encryption Scheme is Best?
• Accelerating Homomorphic Computations on Rational Numbers
• Private Computation on Encrypted Genomic Data
• Fully Homomorphic Encryption for Point Numbers
• Fully Homomorphic Encryption over the Integers
• Batch Fully Homomorphic Encryption over the Integers
• Faster Homomorphic Function Evaluation Using Non-integral Base Encoding

Related Items (2)

Discretization error reduction for high precision torus fully homomorphic encryption ⋮ Unnamed Item

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