Encoding of Rational Numbers and Their Homomorphic Computations for FHE-Based Applications

DOI10.1142/S0129054118500193zbMath1398.68130OpenAlexW2895754053WikidataQ123263123 ScholiaQ123263123MaRDI QIDQ4963266

Heewon Chung, Myungsun Kim

Publication date: 1 November 2018

Published in: International Journal of Foundations of Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129054118500193

zbMATH Keywords

continued fractionsrational numbershomomorphic encryptionGosper algorithm

Mathematics Subject Classification ID

Cryptography (94A60) Data encryption (aspects in computer science) (68P25)

Uses Software

• HElib
• FHEW
• fhe

Cites Work

• Unnamed Item
• Unnamed Item
• Probabilistic encryption
• Linear fractional transformations of continued fractions with bounded partial quotients
• Faster homomorphic linear transformations in HElib
• Accelerating Homomorphic Computations on Rational Numbers
• (Leveled) fully homomorphic encryption without bootstrapping
• Improved Security for a Ring-Based Fully Homomorphic Encryption Scheme
• FHEW: Bootstrapping Homomorphic Encryption in Less Than a Second
• A Public Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms
• Fully Homomorphic Encryption over the Integers
• Public-Key Cryptosystems Based on Composite Degree Residuosity Classes
• ML Confidential: Machine Learning on Encrypted Data
• Continued fractions with bounded partial quotients
• Fully homomorphic encryption using ideal lattices
• Fully Homomorphic Encryption over the Integers with Shorter Public Keys
• Fully Homomorphic Encryption from Ring-LWE and Security for Key Dependent Messages

This page was built for publication: Encoding of Rational Numbers and Their Homomorphic Computations for FHE-Based Applications