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Homomorphic sign evaluation with a RNS representation of integers

Authors:
Philippe Chartier , Ravel Technologies
Michel Koskas , Ravel Technologies
Mohammed Lemou , Ravel Technologies
Florian Méhats , Ravel Technologies
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Conference: ASIACRYPT 2024
Abstract: In the context of fully-homomorphic-encryption, we consider the representation of large integers by their decomposition over a product of rings (through the Chinese Remainder Theorem) and introduce a new algorithm for the determination of the sign solely through the knowledge of ring-components. Our implementation with 128 bits of security delivers a correct result and a probability higher than 1-1.e-9 in less than 100 milliseconds for 32-bit integers on a laptop.
BibTeX
@inproceedings{asiacrypt-2024-34532,
  title={Homomorphic sign evaluation with a RNS representation of integers},
  publisher={Springer-Verlag},
  author={Philippe Chartier and Michel Koskas and Mohammed Lemou and Florian Méhats},
  year=2024
}