Geodesic
Characterizations of regularity for certain \(Q\)-polynomial association schemes
Sho Suda1
1Aichi University of Education
The electronic journal of combinatorics, Tome 22 (2015) no. 1
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It was shown that linked systems of symmetric designs with $a_1^*=0$ and mutually unbiased bases (MUBs) 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 a maximal set of MUBs carries a quadruply regular association scheme and characterize the quadruple regularity of MUBs by its parameter.
DOI : 10.37236/3260
Classification : 05E30, 05B30
Mots-clés : \(Q\)-polynomial association scheme, linked systems of symmetric designs, real mutually unbiased bases, quadruple regularity

Sho Suda  1

1 Aichi University of Education 
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     author = {Sho Suda},
     title = {Characterizations of regularity for certain {\(Q\)-polynomial} association schemes},
     journal = {The electronic journal of combinatorics},
     year = {2015},
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     doi = {10.37236/3260},
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Sho Suda. Characterizations of regularity for certain \(Q\)-polynomial association schemes. The electronic journal of combinatorics, Tome 22 (2015) no. 1. doi: 10.37236/3260

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