English

A fast algorithm to find reduced hyperplane unit cells and solve N-dimensional Bezout identities

Materials Science 2021-01-28 v2

Abstract

The paper explains the method to determine a short unit cell attached to any hyperplane given by its integer vector p\mathbf{p}. Equivalently, it gives all the solutions of the NN-dimensional Bezout identity associated with the coordinates of p\mathbf{p}.

Cite

@article{arxiv.2101.06456,
  title  = {A fast algorithm to find reduced hyperplane unit cells and solve N-dimensional Bezout identities},
  author = {Cyril Cayron},
  journal= {arXiv preprint arXiv:2101.06456},
  year   = {2021}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-23T22:13:42.545Z