The convergence of slide-type reductions

Walter M. 2021. The convergence of slide-type reductions. Public-Key Cryptography – PKC 2021. PKC: IACR International Conference on Practice and Theory of Public Key Cryptography, LNCS, vol. 12710, 45–67.

Download
No fulltext has been uploaded. References only!

Conference Paper | Published | English

Scopus indexed
Department
Series Title
LNCS
Abstract
In this work, we apply the dynamical systems analysis of Hanrot et al. (CRYPTO’11) to a class of lattice block reduction algorithms that includes (natural variants of) slide reduction and block-Rankin reduction. This implies sharper bounds on the polynomial running times (in the query model) for these algorithms and opens the door to faster practical variants of slide reduction. We give heuristic arguments showing that such variants can indeed speed up slide reduction significantly in practice. This is confirmed by experimental evidence, which also shows that our variants are competitive with state-of-the-art reduction algorithms.
Publishing Year
Date Published
2021-05-01
Proceedings Title
Public-Key Cryptography – PKC 2021
Acknowledgement
This work was initiated in discussions with Léo Ducas, when the author was visiting the Simons Institute for the Theory of Computation during the program “Lattices: Algorithms, Complexity, and Cryptography”. We thank Thomas Espitau for pointing out a bug in a proof in an earlier version of this manuscript.
Volume
12710
Page
45-67
Conference
PKC: IACR International Conference on Practice and Theory of Public Key Cryptography
Conference Location
Virtual
Conference Date
2021-05-10 – 2021-05-13
ISSN
eISSN
IST-REx-ID

Cite this

Walter M. The convergence of slide-type reductions. In: Public-Key Cryptography – PKC 2021. Vol 12710. Springer Nature; 2021:45-67. doi:10.1007/978-3-030-75245-3_3
Walter, M. (2021). The convergence of slide-type reductions. In Public-Key Cryptography – PKC 2021 (Vol. 12710, pp. 45–67). Virtual: Springer Nature. https://doi.org/10.1007/978-3-030-75245-3_3
Walter, Michael. “The Convergence of Slide-Type Reductions.” In Public-Key Cryptography – PKC 2021, 12710:45–67. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-75245-3_3.
M. Walter, “The convergence of slide-type reductions,” in Public-Key Cryptography – PKC 2021, Virtual, 2021, vol. 12710, pp. 45–67.
Walter M. 2021. The convergence of slide-type reductions. Public-Key Cryptography – PKC 2021. PKC: IACR International Conference on Practice and Theory of Public Key Cryptography, LNCS, vol. 12710, 45–67.
Walter, Michael. “The Convergence of Slide-Type Reductions.” Public-Key Cryptography – PKC 2021, vol. 12710, Springer Nature, 2021, pp. 45–67, doi:10.1007/978-3-030-75245-3_3.

Export

Marked Publications

Open Data IST Research Explorer

Search this title in

Google Scholar
ISBN Search