Exploiting the Symmetry of $$\mathbb {Z}^n$$: Randomization and the Automorphism Problem

Author:

Jiang Kaijie,Wang Anyu,Luo Hengyi,Liu Guoxiao,Yu Yang,Wang Xiaoyun

Publisher

Springer Nature Singapore

Reference54 articles.

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2. Aggarwal, D., Dadush, D., Regev, O., Stephens-Davidowitz, N.: Solving the shortest vector problem in 2$${}^{\text{n}}$$ time using discrete gaussian sampling: extended abstract. In: Servedio, R.A., Rubinfeld, R. (eds.) Proceedings of the Forty-Seventh Annual ACM on Symposium on Theory of Computing (STOC 2015), Portland, 14–17 June 2015, pp. 733–742. ACM (2015). https://doi.org/10.1145/2746539.2746606

3. Aggarwal, D., Li, J., Nguyen, P.Q., Stephens-Davidowitz, N.: Slide reduction, revisited—filling the gaps in SVP approximation. In: Micciancio, D., Ristenpart, T. (eds.) CRYPTO 2020. LNCS, vol. 12171, pp. 274–295. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-56880-1_10

4. Aggarwal, D., Li, Z., Stephens-Davidowitz, N.: A $$2^{n/2}$$-time algorithm for $$\sqrt{n}$$-SVP and $$\sqrt{n}$$-hermite SVP, and an improved time-approximation tradeoff for (H)SVP. In: Canteaut, A., Standaert, F.-X. (eds.) EUROCRYPT 2021. LNCS, vol. 12696, pp. 467–497. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-77870-5_17

5. Aggarwal, D., Stephens-Davidowitz, N.: Just take the average! an embarrassingly simple $$2{^{n}}$$-time algorithm for SVP (and CVP). In: Seidel, R. (ed.) 1st Symposium on Simplicity in Algorithms, SOSA 2018, 7–10 January 2018, New Orleans. OASIcs, vol. 61, pp. 12:1–12:19. Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018). https://doi.org/10.4230/OASIcs.SOSA.2018.12

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