English

Unbiased orthogonal designs

Combinatorics 2016-01-19 v1

Abstract

The notion of unbiased orthogonal designs is introduced as a generalization among unbiased Hadamard matrices, unbiased weighing matrices and quasi-unbiased weighing matrices. We provide upper bounds and several constructions for mutually unbiased orthogonal designs. As an application, mutually quasi-unbiased weighing matrices for various parameters are obtained.

Keywords

Cite

@article{arxiv.1601.04416,
  title  = {Unbiased orthogonal designs},
  author = {Hadi Kharaghani and Sho Suda},
  journal= {arXiv preprint arXiv:1601.04416},
  year   = {2016}
}

Comments

17 pages

R2 v1 2026-06-22T12:31:27.342Z