English

Characterizations of regularity for certain $Q$-polynomial association schemes

Combinatorics 2009-10-27 v1

Abstract

It is shown that linked systems of symmetric designs with a1=0a_1^*=0 and mutually unbiased bases (MUB) are triply regular association schemes. In this paper, we characterize triple regularity of linked systems of symmetric designs by its Krein number. And we prove that maximal MUB carries a quadruply regular association scheme and characterize the quadruple regularity of MUB by its parameter.

Keywords

Cite

@article{arxiv.0910.4629,
  title  = {Characterizations of regularity for certain $Q$-polynomial association schemes},
  author = {Sho Suda},
  journal= {arXiv preprint arXiv:0910.4629},
  year   = {2009}
}