Hiromasa, R., Abe, M., Okamoto, T. (2015). Packing Messages and Optimizing Bootstrapping in GSW-FHE. In: Katz, J. (eds) Public-Key Cryptography -- PKC 2015. PKC 2015. Lecture Notes in Computer Science(), vol 9020. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662...
Packing Messages and Optimizing Boot-strapping in GSW-FHE[M]//Public-Key Cryptography-PKC 2015. Springer Berlin Heidelberg, 2015: 699-715.Hiromasa, R., Abe, M., Okamoto, T.: Packing Messages and Optimizing Bootstrapping in GSW-FHE. In: Public-Key Cryptography - PKC 2015 - 18th IACR ...
In this paper, we introduce new methods to evaluate integer polynomials with the Gentry-Sahai-Waters fully homomorphic encryption (GSW FHE) scheme. Our solution has much slower noise growth and per homomorphic integer multiplication cost, with a ratio O((logk)w+1kwn) in comparison to the origi...
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Packing Messages and Optimizing Boot-strapping in GSW-FHE[M]//Public-Key Cryptography-PKC 2015. Springer Berlin Heidelberg, 2015: 699-715.R. Hiromasa, M. Abe, and T. Okamoto, "Packing messages and optimizing bootstrapping in GSW-FHE," in Public-key cryptography--PKC 2015, vol. 9020 of ...
Okamoto, "Packing messages and optimizing bootstrapping in GSW-FHE," in Public-key cryptography--PKC 2015, vol. 9020 of Lecture Notes in Comput. Sci., pp. 699-715, Springer, Heidelberg, 2015.Hiromasa, R., Abe, M., Okamoto, T.: Packing messages and optimizing bootstrap- ping in GSW-...
Matrix GSW-FHEWe present a new packing messages strategy for the Matrix GSW-FHE proposed by Hiromasa et al. at PKC 2015. Based on the packing messages strategy, we describe a simpler homomorphic permutation algorithm which just needs one homomorphic multiplication. By applying this permutation ...
Gentry's bootstrapping procedure is used to refresh noisy ciphertexts and is the only way to achieve the goal of FHE upto now. In this paper, we optimize the LWE-based GSW-type bootstrapping procedure. Our optimization decreases the lattice approximation factor for the underlying worst-case ...