The classification of distance-regular graphs of type IIB

The distance-regular graphsΛ of type IIB in Bannai and Ito [1] have intersection numbers of the form whered is the diameter of Λ, andh, x, andt are complex constants. In this paper we show a graph of type IIB and diameterd (3≦d) is either the antipodal quotient of the Hamming graphH(2d+1,2), or has the same intersection numbers as the antipodal quotient ofH(2d, 2).