CryptoDB
Numerical Method for Comparison on Homomorphically Encrypted Numbers
Authors: | |
---|---|
Download: | |
Abstract: | We propose a new method to compare numbers which are encrypted by Homomorphic Encryption (HE). Previously, comparison and min/max functions were evaluated using Boolean functions where input numbers are encrypted bit-wise. However, the bit-wise encryption methods require relatively expensive computations for basic arithmetic operations such as addition and multiplication.In this paper, we introduce iterative algorithms that approximately compute the min/max and comparison operations of several numbers which are encrypted word-wise. From the concrete error analyses, we show that our min/max and comparison algorithms have |
BibTeX
@article{asiacrypt-2019-30046, title={Numerical Method for Comparison on Homomorphically Encrypted Numbers}, booktitle={Advances in Cryptology – ASIACRYPT 2019}, series={Advances in Cryptology – ASIACRYPT 2019}, publisher={Springer}, volume={11922}, pages={415-445}, doi={10.1007/978-3-030-34621-8_15}, author={Jung Hee Cheon and Dongwoo Kim and Duhyeong Kim and Hun Hee Lee and Keewoo Lee}, year=2019 }