English

Disjoint weighing matrices

Combinatorics 2020-09-07 v2

Abstract

The notion of disjoint weighing matrices is introduced as a generalization of orthogonal designs. A recursive construction along with a computer search lead to some infinite classes of disjoint weighing matrices, which in turn are shown to form commutative association schemes with 3 or 4 classes.

Keywords

Cite

@article{arxiv.2002.02566,
  title  = {Disjoint weighing matrices},
  author = {Hadi Kharaghani and Sho Suda and Behruz Tayfeh-Rezaie},
  journal= {arXiv preprint arXiv:2002.02566},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T13:33:44.654Z