[Resource Topic] 2021/1131: Multi-key Fully Homomorphic Encryption Scheme with Compact Ciphertexts

Welcome to the resource topic for 2021/1131

Title:
Multi-key Fully Homomorphic Encryption Scheme with Compact Ciphertexts

Authors: Tanping Zhou, Long Chen, Xiaoliang Che, Wenchao Liu, Zhenfeng Zhang, and Xiaoyuan Yang

Abstract:

Multi-Key fully homomorphic encryption (MKFHE) allows computations on data encrypted by different parties. One disadvantage of previous MKFHE schemes is that the ciphertext size increases linearly or squarely with respect to the number of parties. It incurs a heavy communication and computation burden for the homomorphic evaluation, especially when the number of involved parties is large. In this paper, we propose the first method to construct MKFHE scheme while keeping the size of the ciphertext and corresponding evaluation key to be independent of the number of parties during the homomorphic evaluation. Specifically, we construct efficient compact MKFHE schemes with various advantages. On the one hand, we show how to construct compact MKFHE schemes which support the homomorphic encryption of ring elements and are friendly to floating point numbers. On the other hand, we give a compact MKFHE scheme that supports high efficient bootstrapping. In our paper, we show a novel method to reduce the cost of generating these evaluation keys from a quadratic time to a linear time with respect to the number of parties.

ePrint: https://eprint.iacr.org/2021/1131

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .