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Modern implementations of homomorphic encryption (HE) rely heavily on polynomial arithmetic over a finite field.
An algorithm for the machine calculation of complex Fourier series
James W Cooley and John W Tukey. 1965 · 1965
Earlier work this paper cites.
NTL: A library for doing number theory
Victor Shoup et al · 2001
Earlier work this paper cites.
Somewhat Practical Fully Homomorphic Encryption
Junfeng Fan and Frederik Vercauteren. 2012 · 2012
Earlier work this paper cites.
(Leveled) fully homomorphic encryption without bootstrapping
Zvika Brakerski, Craig Gentry, and Vinod Vaikuntanathan. 2014 · 2014
Earlier work this paper cites.
Faster arithmetic for number-theoretic transforms
David Harvey. 2014 · 2014
Earlier work this paper cites.
NFLlib: NTT-based fast lattice library. In Cryptographers’ Track at the RSA Conference
Carlos Aguilar-Melchor, Joris Barrier, Serge Guelton, Adrien Guinet, Marc-Olivier Killijian, and Tancrede Lepoint. 2016 · 2016
Earlier work this paper cites.
Double-speed barrett moduli
Rémi Géraud, Diana Maimuţ, and David Naccache. 2016 · 2016
Earlier work this paper cites.
Accelerating big integer arithmetic using intel IFMA extensions. In 2016 IEEE 23nd Symposium on Computer Arithmetic (ARITH)
Shay Gueron and Vlad Krasnov. 2016 · 2016
Earlier work this paper cites.
Modular SIMD arithmetic in Mathemagix
Joris Van Der Hoeven, Grégoire Lecerf, and Guillaume Quintin. 2016 · 2016
Cited alongside, same era.
Speeding up the number theoretic transform for faster ideal lattice-based cryptography. In International Conference on Cryptology and Network Security
Patrick Longa and Michael Naehrig. 2016 · 2016
Cited alongside, same era.
Homomorphic encryption for arithmetic of approximate numbers. In International Conference on the Theory and Application of Cryptology and Information Security
Jung Hee Cheon, Andrey Kim, Miran Kim, and Yongsoo Song. 2017 · 2017
Cited alongside, same era.
A full RNS variant of approximate homomorphic encryption. In International Conference on Selected Areas in Cryptography
Jung Hee Cheon, Kyoohyung Han, Andrey Kim, Miran Kim, and Yongsoo Song. 2018 · 2018
Cited alongside, same era.
Homomorphic Training of 30,000 Logistic Regression Models. In International Conference on Applied Cryptography and Network Security
Flavio Bergamaschi, Shai Halevi, Tzipora T Halevi, and Hamish Hunt. 2019 · 2019
High performance SIMD modular arithmetic for polynomial evaluation
Pierre Fortin, Ambroise Fleury, François Lemaire, and Michael Monagan. 2020 · 2020
Later among the works it cites.
Wonkyung Jung, Eojin Lee, Sangpyo Kim, Keewoo Lee, Namhoon Kim, Chohong Min, Jung Hee Cheon, and Jung Ho Ahn. 2020 · 2020
Later among the works it cites.
Towards privacy-preserving medical cloud computing using homomorphic encryption
Ovunc Kocabas and Tolga Soyata. 2020 · 2020
Later among the works it cites.
CPU and GPU Accelerated Fully Homomorphic Encryption. In 2020 IEEE International Symposium on Hardware Oriented Security and Trust (HOST)
Toufique Morshed, Md Momin Al Aziz, and Noman Mohammed. 2020 · 2020
Later among the works it cites.
Microsoft SEAL (release 3.6)
SEAL 2020 · 2020
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Cited alongside, same era.
Fast modular squaring with AVX512IFMA. In 16th International Conference on Information Technology-New Generations (ITNG 2019)
Nir Drucker and Shay Gueron. 2019 · 2019
Cited alongside, same era.
Accelerating Large Integer Multiplication Using Intel AVX-512IFMA. In International Conference on Algorithms and Architectures for Parallel Processing
Takuya Edamatsu and Daisuke Takahashi. 2019 · 2019
Cited alongside, same era.
Secure large-scale genome-wide association studies using homomorphic encryption
Marcelo Blatt, Alexander Gusev, Yuriy Polyakov, and Shafi Goldwasser. 2020 · 2020
Cited alongside, same era.
Later among the works it cites.
Intel Intrinsics Guide
Intel Corporation. 2021 · 2021
Closest in time.
Texample.net
Kjell Magne Fauske. 2006 · 2021
Closest in time.
The PALISADE Lattice Cryptography Library
Kurt Rohloff. 2018 · 2021
Closest in time.