1 citations · 2 across the 3 of their papers we have counts for
4 papers
Lattice Problems Beyond Polynomial Time
Divesh Aggarwal, Huck Bennett, Zvika Brakerski +6
We study the complexity of lattice problems in a world where algorithms, reductions, and protocols can run in superpolynomial time, revisiting four foundational results: two worst-…
A Computation Model with Automatic Functions and Relations as Primitive Operations
Ziyuan Gao, Sanjay Jain, Li Zeyong +2
Prior work of Hartmanis and Simon (Hartmanis and Simon, 1974) and Floyd and Knuth (Floyd and Knuth, 1990) investigated what happens if a device uses primitive steps more natural th…
Dimension-Preserving Reductions Between SVP and CVP in Different -Norms
Divesh Aggarwal, Yanlin Chen, Rajendra Kumar +2
We show a number of reductions between the Shortest Vector Problem and the Closest…
A -Time Algorithm for -SVP and -Hermite SVP, and an Improved Time-Approximation Tradeoff for (H)SVP
Divesh Aggarwal, Zeyong Li, Noah Stephens-Davidowitz
We show a -time algorithm that finds a (non-zero) vector in a lattice with norm at most $\tilde{O}(\sqrt{n})\cdot \min\{λ_1(\mathca…