Projects per year
Abstract
We describe a method to bootstrap a packed BGV ciphertext which does not depend (as much) on any special properties of the plaintext and ciphertext moduli. Prior “efficient” methods such as that of Gentry et al. (PKC 2012) required a ciphertext modulus q which was close to a power of the plaintext modulus p. This enables our method to be applied in a larger number of situations. Our basic bootstrapping technique makes use of a representation based on polynomials of the group (Zq,+) over the finite field Fp , followed by polynomial interpolation of the reduction mod p map over the coefficients of the algebraic group. This technique is then extended to the full BGV packed ciphertext space, using a method whose depth depends only logarithmically on the number of packed elements. This method may be of interest as an alternative to the method of Alperin-Sheriff and Peikert (CRYPTO 2013). To aid efficiency we utilize the ring/field switching technique of Gentry et al (SCN 2012, JCS 2013).
Original language | English |
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Pages (from-to) | 348-357 |
Journal | IET Information Security |
Volume | 10 |
Issue number | 6 |
DOIs | |
Publication status | Published - 27 Oct 2016 |
Keywords
- public-key cryptography/FHE
- Bootstrapping
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Dive into the research topics of 'Bootstrapping BGV Ciphertexts with a Wider Choice of p and q'. Together they form a unique fingerprint.Projects
- 2 Finished
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HEAT: Homomorphic Encryption Applications and Technology
Smart, N. P. (Principal Investigator)
1/01/15 → 31/12/17
Project: Research
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COED - Computing on Encrypted Data
Smart, N. P. (Principal Investigator)
1/10/11 → 30/09/15
Project: Research