English

Balancedly splittable Hadamard matrices

Combinatorics 2018-10-18 v2

Abstract

Balancedly splittable Hadamard matrices are introduced and studied. A connection is made to the Hadamard diagonalizable strongly regular graphs, maximal equiangular lines set, and unbiased Hadamard matrices. Several construction methods are presented. As an application, commutative association schemes of 4, 5, and 6 classes are constructed.

Keywords

Cite

@article{arxiv.1806.00165,
  title  = {Balancedly splittable Hadamard matrices},
  author = {Hadi Kharaghani and Sho Suda},
  journal= {arXiv preprint arXiv:1806.00165},
  year   = {2018}
}

Comments

22 pages

R2 v1 2026-06-23T02:15:37.548Z