41 citations · 113 across the 31 of their papers we have counts for
34 papers
-polynomial coherent configurations
Eiichi Bannai, Sho Suda, Yan Zhu
Suda introduced the notion of a -polynomial coherent configuration, which provides a natural and important concept. Subsequently, Lato introduced a notion of a -polynomial co…
On the existence and non-existence of spherical -stiff configurations
Eiichi Bannai, Hirotake Kurihara, Hiroshi Nozaki
This paper investigates the existence of -stiff configurations in the unit sphere , which are spherical -designs that lie on parallel hyperplanes. We establ…
Bivariate -polynomial structures for the nonbinary Johnson scheme and the association scheme obtained from attenuated spaces
Eiichi Bannai, Hirotake Kurihara, Da Zhao +1
The study of -polynomial association schemes (distance-regular graphs) and -polynomial association schemes, and in particular - and -polynomial association schemes, has…
A note on the Assmus--Mattson theorem for some ternary codes (a resume)
Eiichi Bannai, Tsuyoshi Miezaki, Hiroyuki Nakasora
Let be a two and three-weight ternary code. Furthermore, we assume that are -designs for all by the Assmus--Mattson theorem. We show that . As a co…
Multivariate P- and/or Q-polynomial association schemes
Eiichi Bannai, Hirotake Kurihara, Da Zhao +1
The classification problem of - and -polynomial association schemes has been one of the central problems in algebraic combinatorics. Generalizing the concept of - and -…
On the two-distance embedding in real Euclidean space of coherent configuration of type (2,2;3)
Eiichi Bannai, Etsuko Bannai, Chin-Yen Lee +2
Finding the maximum cardinality of a -distance set in Euclidean space is a classical problem in geometry. Lisoněk in 1997 constructed a maximum -distance set in …