In this paper, claims by Lemmens and Seidel in 1973 about equiangular sets of lines with
angle 1∕ 5 are proved by carefully analyzing pillar decomposition, with the aid of the …

We derive universal lower and upper bounds for max-min and min-max problems (also
known as polarization) for the potential of spherical $(k, k) $-designs and provide certain …

In algebraic combinatorics, the first step of the classification of interesting objects is usually
to find all their feasible parameters. The feasible parameters are often integral solutions of …

In this paper, we study shells of the D 4 lattice with a slight generalization of spherical t-
designs due to Delsarte–Goethals–Seidel, namely, the spherical design of harmonic index T …

In algebraic combinatorics, the first step of the classification of interesting objects is usually
to find all their feasible parameters. The feasible parameters are often integral solutions of …