Bibliographic Details
| Title: |
High-Precision Leveled Homomorphic Encryption for Rational Numbers |
| Authors: |
Long Nie, Shaowen Yao, Jing Liu |
| Source: |
Mathematics, Vol 11, Iss 2, p 348 (2023) |
| Publisher Information: |
MDPI AG, 2023. |
| Publication Year: |
2023 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
homomorphic encryption, Hensel code, number theoretic transform, Mathematics, QA1-939 |
| More Details: |
In most homomorphic encryption schemes based on RLWE, native plaintexts are represented as polynomials in a ring Zt[x]/xN+1, where t is a plaintext modulus and xN+1 is a cyclotomic polynomial with a degree power of two. An encoding scheme should be used to transform some natural data types (such as integers and rational numbers) into polynomials in the ring. After homomorphic computations on the polynomial aare finished, the decoding procedure is invoked to obtain the results. We employ the Hensel code for encoding rational numbers and construct a high-precision leveled homomorphic encryption scheme with double-CRT. The advantage of our scheme is that the limitations of previous works are avoided, such as unexpected decoding results and loss of precision. Moreover, the plaintext space can be adjusted simply by changing a hyper-parameter to adapt to different computation tasks. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
2227-7390 |
| Relation: |
https://www.mdpi.com/2227-7390/11/2/348; https://doaj.org/toc/2227-7390 |
| DOI: |
10.3390/math11020348 |
| Access URL: |
https://doaj.org/article/0ae8dfe5067f4c69a3bb86a3d14067fc |
| Accession Number: |
edsdoj.0ae8dfe5067f4c69a3bb86a3d14067fc |
| Database: |
Directory of Open Access Journals |
