The hyperoctahedral group H in n dimensions (the Weyl group of Lie type Bn) is the subgroup of the orthogonal group generated by all transpositions of coordinates and reflections with respect to… (More)

Spherical r-designs are Chebyshev-type averaging sets on the d-dimensional unit sphere Sd-l that are exact for all polynomials of degree at most t. The concept of such designs was introduced by… (More)

+1 variables over finite fields to scatter points on the surface of the unit sphere S d , d≥1. Applications are given for spherical t designs and generalized s energies.

We call a subset A of the (additive) abelian group G t-independent if for all non-negative integers h and k with h + k ≤ t, the sum of h (not necessarily distinct) elements of A does not equal the… (More)

For a finite abelian group G and positive integers m and h, we let ρ(G,m, h) = min{|hA| : A ⊆ G, |A| = m} and ρ±(G,m, h) = min{|h±A| : A ⊆ G, |A| = m}, where hA and h±A denote the h-fold sumset and… (More)

Let [n] = {1, 2, . . . , n} and let 2 be the collection of all subsets of [n] ordered by inclusion. C ⊆ 2 is a cutset if it meets every maximal chain in 2, and the width of C ⊆ 2 is the minimum… (More)