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In this paper we provide a survey of various libraries for homomorphic encryption.
Ronald L Rivest, Adi Shamir, and Len Adleman, A Method for Obtaining Digital Signatures and Public-key Cryptosystems, Communications of the ACM 21, 2, pp. 120–126 https://people.csail.mit.edu/rivest/Rsapaper.pdf , 1978
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Andrew C. Yao, Protocols for Secure Computations, University of California Berkeley, California, IEEE Foundations of Computer Science, 23rd Annual Symposium on, https://research.cs.wisc.edu/areas/sec/yao1982-ocr.pdf , 1982
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Shafi Goldwasser and Silvio Micali, Probabilistic encryption & how to play mental poker keeping secret all partial information, Proceedings of the Fourteenth Annual ACM Symposium on Theory of Computing. ACM, pp. 365–377, 1982
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Taher ElGamal, A Public Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms, IEEE Transactions in Information Theory, Vol 31, pp. 469-472, 1985
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Josh Daniel Cohen Benaloh, Verifiable secret-ballot elections, Thesis, Yale University, Department of Computer Science, https://www.microsoft.com/en-us/research/wp-content/uploads/1987/01/thesis.pdf , 1987
1987
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Josh Benaloh, ‘Dense probabilistic encryption’ Proceedings of the Workshop on Selected Areas of Cryptography, pp. 120–128. http://sancy.univ-bpclermont.fr/~lafourcade//PAPERS/FLA11.pdf , 1994
1994
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David Naccache and Jacques Stern, A New Public Key Cryptosystem Based on Higher Residues, Proceedings of the 5th ACM Conference on Computer and Communications Security, ACM, pp. 59–66, 1998
1998
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Tatsuaki Okamoto and Shigenori Uchiyama, A New public-key cryptosystem as secure as factoring, In Advances in Cryptology—EUROCRYPT ’98. Springer, pp. 308–318, https://link.springer.com/chapter/10.1007/BFb0054135 , 1998
1998
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T. Sander, A. Young, and M. Yung, Non-interactive Cryptocomputing for NC SUP1, IEEE Foundations of Computer Science, 40th Annual Symposium on, pp. 554–566 http://dx.doi.org/10.1109/SFFCS.1999.814630 , 1999
1999
Earlier work this paper cites.
Pascal Paillier, Public-key Cryptosystems Based on Composite Degree Residuosity Classes, Advances in cryptology—EUROCRYPT ‘99. Springer, pp. 223–238, 1999
1999
Earlier work this paper cites.
Ivan Damgård and Mads Jurik, A Generalisation, a Simplification and Some Applications of Paillier’s Probabilistic Public-key System, Public Key Cryptography, International Workshop on Public Key Cryptography, Springer, pp. 119–136, 2001
2001
Cited alongside, same era.
Steven D Galbraith, Elliptic Curve Paillier schemes, Journal of Cryptology 15, 2, pp. 129–138, 2002
2002
Cited alongside, same era.
Fraleigh, J. B., A First Course in Abstract Algebra, 7th edition, Addison-Wesley, 2002
2002
Cited alongside, same era.
Dan Boneh, Eu-Jin Goh, and Kobbi Nissim, Evaluating 2-DNF Formulas on Ciphertexts, Theory of Cryptography. Springer, pp. 325–341, https://crypto.stanford.edu/~dabo/papers/2dnf.pdf , 2006
2006
Cited alongside, same era.
Yuval Ishai and Anat Paskin, Evaluating Branching Programs on Encrypted Data, Theory of Cryptography, Springer, pp. 575–594. https://www.iacr.org/archive/tcc2007/43920574/43920574.pdf , 2007
Miran Kim and Kristin E. Lauter, Private Genome Analysis through Homomorphic Encryption, BMC medical informatics and decision making 15 Suppl 5 S3, 2015
2015
Later among the works it cites.
Ilaria Chillotti, Nicolas Gama, Mariya Georgieva and Malika Izabachène, Faster Fully Homomorphic Encryption: Bootstrapping [ 1 ] in less than 0.1 Seconds, Cryptology ePrint Archive Report 2016/870, https://eprint.iacr.org/2016/870 , 2016
2016
Later among the works it cites.
Ilaria Chillotti, Nicolas Gama, Mariya Georgieva and Malika Izabachène, Improving TFHE: Faster Packed Homomorphic Operations and Efficient Circuit Bootstrapping, Cryptology ePrint Archive Report 2017/430, https://eprint.iacr.org/2017/430 , 2017
2017
Later among the works it cites.
Kim Laine, Simple Encrypted Arithmetic Library 2.3.1, Microsoft Research https://www.microsoft.com/en-us/research/uploads/prod/2017/11/sealmanual-2-3-1.pdf , 2017
2017
Later among the works it cites.
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2007
Cited alongside, same era.
Akinori Kawachi, Keisuke Tanaka, and Keita Xagawa, Multi-bit Cryptosystems Based on Lattice Problems, Public Key Cryptography–PKC, Springer, pp. 315–329, 2007
2007
Cited alongside, same era.
Junfeng Fan and Frederik Vercauteren, Somewhat Practical Fully Homomorphic Encryption, Cryptology ePrint Archive Report 2012/144, https://eprint.iacr.org/2012/144 , 2012
2012
Cited alongside, same era.
Zvika Brakerski, Craig Gentry and Shai Halevi, Packed Ciphertexts in LWE-based Homomorphic Encryption, Cryptology ePrint Archive Report 2012/565, https://eprint.iacr.org/2012/565.pdf , 2012
2012
Cited alongside, same era.
Craig Gentry, Amit Sahai and Brent Waters, Homomorphic Encryption from Learning with Errors: Conceptually Simpler, Asymptotically Faster, Attribute Based, Advances in Cryptology CRYPTO, Springer, 2013
2013
Cited alongside, same era.
Zvika Brakerski, Craig Gentry and Vinod Vaikuntanathan, Fully Homomorphic Encryption without Bootstrapping, IACR Cryptology ePrint Archive, 2015
2015
Cited alongside, same era.
Jonathan Schneider, Awesome - A curated list of amazing Homomorphic Encryption libraries, software and resources, https://github.com/jonaschn/awesome-he
Cited in the paper.
Ryo Yonetani, Vishnu Naresh Boddeti, Kris M. Kitani and Yoichi Sato, Privacy-Preserving Visual Learning Using Doubly Permuted Homomorphic Encryption, IEEE International Conference on Computer Vision, pp. 2059–2069, 2017
2017
Later among the works it cites.
Melissa Chase, Hao Chen, Jintai Ding, Shafi Goldwasser, Sergey Gorbunov, Jeffrey Hoffstein, Kristin Lauter, Satya Lokam, Dustin Moody, Travis Morrison, Amit Sahai and Vinod Vaikuntanathan, Security of Homomorphic Encryption, 2018
2018
Closest in time.
Martin Albrecht, Melissa Chase, Hao Chen, Jintai Ding, Shafi Goldwasser, Sergey Gorbunov, Shai Halevi, Jeffrey Hoffstein, Kristin Lauter, Satya Lokam, Daniele Micciancio, Dustin Moody, Travis Morrison, Amit Sahai and Vinod Vaikuntanathan, Homomorphic Encryption Standard, http://homomorphicencryption.org/wp-content/uploads/2018/08/HomomorphicEncryptionStandard2018-08-30.pdf , 2018
2018
Closest in time.
2018
Closest in time.
David Archer, Lily Chen, Jung Hee Cheon, Ran Gilad-Bachrach, Roger A. Hallman, Zhicong Huang, Xiaoqian Jiang, Ranjit Kumaresan, Bradley A. Malin, Heidi Sofia, Yongsoo Song and Shuang Wang, Applications of Homomorphic Encryption, Technical report, 2018
2018
Closest in time.
Compliance Group, HIPAA Fines Listed by Year, https://compliancy-group.com/hipaa-fines-directory-year/ , 2018
2018
Closest in time.