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Title:
A New Batch FHE Scheme over the Integers
Authors: Kwak Wi Song, Kim Chol Un
Abstract:The FHE (fully homomorphic encryption) schemes [7, 13] based on the modified AGCD problem (noise-free AGCD problem) are vulnerable to quantum attacks, because its security relies partly on the hardness of factoring, and some FHE schemes based on the decisional AGCD without the noise-free assumption, for example [1], has a drawback that its ciphertexts are very large. In this paper, we construct a new batch FHE scheme based on the decisional AGCD problem to overcome these weaknesses and prove its security.
ePrint: https://eprint.iacr.org/2018/1070
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