Deciding whether a Lattice has an Orthonormal Basis is in co-NP
Discrete Mathematics
2019-10-10 v1 Combinatorics
Abstract
We show that the problem of deciding whether a given Euclidean lattice L has an orthonormal basis is in NP and co-NP. Since this is equivalent to saying that L is isomorphic to the standard integer lattice, this problem is a special form of the Lattice Isomorphism Problem, which is known to be in the complexity class SZK.
Cite
@article{arxiv.1910.03838,
title = {Deciding whether a Lattice has an Orthonormal Basis is in co-NP},
author = {Christoph Hunkenschröder},
journal= {arXiv preprint arXiv:1910.03838},
year = {2019}
}
Comments
6 pages + references