English

Generating a Quadratic Forms from a Given Genus

Data Structures and Algorithms 2015-03-27 v2 Number Theory Rings and Algebras

Abstract

Given a non-empty genus in nn dimensions with determinant dd, we give a randomized algorithm that outputs a quadratic form from this genus. The time complexity of the algorithm is poly(n,logd)(n,\log d); assuming Generalized Riemann Hypothesis (GRH).

Cite

@article{arxiv.1409.6913,
  title  = {Generating a Quadratic Forms from a Given Genus},
  author = {Chandan Dubey and Thomas Holenstein},
  journal= {arXiv preprint arXiv:1409.6913},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1409.6199

R2 v1 2026-06-22T06:04:38.136Z