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math.CO2026
On the spherical design properties of a - and -polynomial association scheme
Jesse Lansdown, William J. Martin, Akihiro Munemasa +2
We show that the strength as a spherical design of the spherical embedding of a - and -polynomial association scheme with at least three classes with respect to a -polynom…
math.CO2025
Extremal orthogonal arrays
Alexander L. Gavrilyuk, Sho Suda
It is known that a Delsarte -design in a -polynomial association scheme has degree at least . Following Ionin and Shrikhande who stud…
math.CO2025
Roux schemes which carry association schemes locally
Alexander L. Gavrilyuk, Jesse Lansdown, Akihiro Munemasa +1
A roux scheme is an association scheme formed from a special "roux" matrix and the regular permutation representation of an associated group. They were introduced by Iverson and Mi…