activity
20082022
most citedOn relative -designs in polynomial association schemes

15 citations · 26 across the 12 of their papers we have counts for

collaborators

13 papers

math.CO2022★ 1 cited

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 …

math.CO2022

The real equiangular tight frames obtained from rank graphs

Eiichi Bannai, Etsuko Bannai, Chin-Yen Lee +2

We present all nontrivial real equiangular tight frames in obtained as spherical embeddings of primitive rank graphs on vertices, and those…

math.CO2020★ 1 cited

Tight relative -designs on two shells in hypercubes, and Hahn and Hermite polynomials

Eiichi Bannai, Etsuko Bannai, Hajime Tanaka +1

Relative -designs in the -dimensional hypercube are equivalent to weighted regular -wise balanced designs, which generalize combinatorial - des…

math.CO2017

On the strong non-rigidity of certain tight Euclidean designs

Eiichi Bannai, Etsuko Bannai, Djoko Suprijanto

We study the non-rigidity of Euclidean -designs, namely we study when Euclidean designs (in particular certain tight Euclidean designs) can be deformed keeping the property of b…

math.CO2015

Relative t-designs in binary Hamming association scheme H(n,2)

Eiichi Bannai, Etsuko Bannai, Yan Zhu

A relative t-design in the binary Hamming association schemes H(n,2) is equivalent to a weighted regular t-wise balanced design, i.e., certain combinatorial t-design which allow di…

math.CO2015★ 4 cited

More on spherical designs of harmonic index

Yan Zhu, Eiichi Bannai, Etsuko Bannai +2

A finite subset on the unit sphere is called a spherical design of harmonic index , if the following condition is satisfied: $\sum_{\mathbf{…