603 citations · 1.6k across the 72 of their papers we have counts for
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math.NT2023★ 1 cited
Bounds on the density of smooth lattice coverings
Or Ordentlich, Oded Regev, Barak Weiss
Let be a convex body in , let be a lattice with covolume one, and let . We say that and form an -smooth cover if each point $x \in \mathbb{R}^…
quant-ph2023★ 9 cited
An Efficient Quantum Factoring Algorithm
Oded Regev
We show that -bit integers can be factorized by independently running a quantum circuit with gates for times, and then using polynomial-time cl…
math.MG2023★ 2 cited
A simple proof of a reverse Minkowski theorem for integral lattices
Oded Regev, Noah Stephens-Davidowitz
We prove that for any integral lattice (that is, a lattice such that the inner product …
math.MG2023
An integer parallelotope with small surface area
Assaf Naor, Oded Regev
We prove that for any there is a convex body whose surface area is at most , yet the translates of by the integer…