Uniqueness of the (22,891,1/4) spherical code

摘要

We use techniques of Bannai and Sloane to give a new proof that there is aunique (22,891,1/4) spherical code; this result is implicit in a recent paperby Cuypers. We also correct a minor error in the uniqueness proof given byBannai and Sloane for the (23,4600,1/3) spherical code.