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

Eiichi Bannai, Etsuko Bannai, Hajime Tanaka +1

Relative $t$-designs in the $n$-dimensional hypercube ${\mathcal{Q}}_n$ are equivalent to weighted regular $t$-wise balanced designs, which generalize combinatorial $t$-$(n,k,\lambda )$ des…