English

Balancedly splittable orthogonal designs and equiangular tight frames

Combinatorics 2023-12-06 v2 Functional Analysis

Abstract

The concept of balancedly splittable orthogonal designs is introduced along with a recursive construction. As an application, equiangular tight frames over the real, complex, and quaternions meeting the Delsarte-Goethals-Seidel upper bound is obtained.

Keywords

Cite

@article{arxiv.2103.04571,
  title  = {Balancedly splittable orthogonal designs and equiangular tight frames},
  author = {Hadi Kharaghani and Thomas Pender and Sho Suda},
  journal= {arXiv preprint arXiv:2103.04571},
  year   = {2023}
}

Comments

17 pages

R2 v1 2026-06-23T23:51:50.988Z