conference paper published yes Michael Walter author 488F98B0-F248-11E8-B48F-1D18A9856A870000-0003-3186-2482 KrPi department PKC: IACR International Conference on Practice and Theory of Public Key Cryptography Teaching Old Crypto New Tricks project 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. https://research-explorer.ista.ac.at/download/9466/11416/2021_PKC_Walter.pdf application/pdfno Springer Nature2021Virtual eng 0302-9743 1611-3349 9783030752446 00129472850000310.1007/978-3-030-75245-3_3 1271045-67 Walter, M. (2021). The convergence of slide-type reductions. In <i>Public-Key Cryptography – PKC 2021</i> (Vol. 12710, pp. 45–67). Virtual: Springer Nature. <a href="https://doi.org/10.1007/978-3-030-75245-3_3">https://doi.org/10.1007/978-3-030-75245-3_3</a> M. Walter, “The convergence of slide-type reductions,” in <i>Public-Key Cryptography – PKC 2021</i>, Virtual, 2021, vol. 12710, pp. 45–67. Walter M. The convergence of slide-type reductions. In: <i>Public-Key Cryptography – PKC 2021</i>. Vol 12710. Springer Nature; 2021:45-67. doi:<a href="https://doi.org/10.1007/978-3-030-75245-3_3">10.1007/978-3-030-75245-3_3</a> Walter, Michael. “The Convergence of Slide-Type Reductions.” <i>Public-Key Cryptography – PKC 2021</i>, vol. 12710, Springer Nature, 2021, pp. 45–67, doi:<a href="https://doi.org/10.1007/978-3-030-75245-3_3">10.1007/978-3-030-75245-3_3</a>. 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. M. Walter, in:, Public-Key Cryptography – PKC 2021, Springer Nature, 2021, pp. 45–67. Walter, Michael. “The Convergence of Slide-Type Reductions.” In <i>Public-Key Cryptography – PKC 2021</i>, 12710:45–67. Springer Nature, 2021. <a href="https://doi.org/10.1007/978-3-030-75245-3_3">https://doi.org/10.1007/978-3-030-75245-3_3</a>. 94662021-06-06T22:01:29Z2026-04-16T09:25:35Z