Public-Key Encryption from Homogeneous CLWE
Bogdanov A, Cueto Noval M, Hoffmann C, Rosen A. 2022. Public-Key Encryption from Homogeneous CLWE. Theory of Cryptography. TCC: Theory of Cryptography, LNCS, vol. 13748, 565–592.
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LNCS
Abstract
The homogeneous continuous LWE (hCLWE) problem is to distinguish samples of a specific high-dimensional Gaussian mixture from standard normal samples. It was shown to be at least as hard as Learning with Errors, but no reduction in the other direction is currently known.
We present four new public-key encryption schemes based on the hardness of hCLWE, with varying tradeoffs between decryption and security errors, and different discretization techniques. Our schemes yield a polynomial-time algorithm for solving hCLWE using a Statistical Zero-Knowledge oracle.
Publishing Year
Date Published
2022-12-21
Proceedings Title
Theory of Cryptography
Publisher
Springer Nature
Acknowledgement
We are grateful to Devika Sharma and Luca Trevisan for their insight and advice and to an anonymous reviewer for helpful comments.
This work was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No. 101019547). The first author was additionally supported by RGC GRF CUHK14209920 and the fourth author was additionally supported by ISF grant No. 1399/17, project PROMETHEUS (Grant 780701), and Cariplo CRYPTONOMEX grant.
Volume
13748
Page
565-592
Conference
TCC: Theory of Cryptography
Conference Location
Chicago, IL, United States
Conference Date
2022-11-07 – 2022-11-10
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Cite this
Bogdanov A, Cueto Noval M, Hoffmann C, Rosen A. Public-Key Encryption from Homogeneous CLWE. In: Theory of Cryptography. Vol 13748. Springer Nature; 2022:565-592. doi:10.1007/978-3-031-22365-5_20
Bogdanov, A., Cueto Noval, M., Hoffmann, C., & Rosen, A. (2022). Public-Key Encryption from Homogeneous CLWE. In Theory of Cryptography (Vol. 13748, pp. 565–592). Chicago, IL, United States: Springer Nature. https://doi.org/10.1007/978-3-031-22365-5_20
Bogdanov, Andrej, Miguel Cueto Noval, Charlotte Hoffmann, and Alon Rosen. “Public-Key Encryption from Homogeneous CLWE.” In Theory of Cryptography, 13748:565–92. Springer Nature, 2022. https://doi.org/10.1007/978-3-031-22365-5_20.
A. Bogdanov, M. Cueto Noval, C. Hoffmann, and A. Rosen, “Public-Key Encryption from Homogeneous CLWE,” in Theory of Cryptography, Chicago, IL, United States, 2022, vol. 13748, pp. 565–592.
Bogdanov A, Cueto Noval M, Hoffmann C, Rosen A. 2022. Public-Key Encryption from Homogeneous CLWE. Theory of Cryptography. TCC: Theory of Cryptography, LNCS, vol. 13748, 565–592.
Bogdanov, Andrej, et al. “Public-Key Encryption from Homogeneous CLWE.” Theory of Cryptography, vol. 13748, Springer Nature, 2022, pp. 565–92, doi:10.1007/978-3-031-22365-5_20.
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