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math.CO2025
Combinatorial characterzations of -designs in the nonbinary Johnson scheme
Hiroshi Nozaki, Yuta Watanabe
We study -designs in the nonbinary Johnson scheme. This scheme generalizes both the Johnson and Hamming schemes and admits a bivariate -polynomial structure. Zhu (2021) provi…
math.CO2024
Terwilliger Algebra of the Ordered Hamming Scheme
Yuta Watanabe
This paper delves into the Terwilliger algebra associated with the ordered Hamming scheme, which extends from the wreath product of one-class association schemes and was initially…