Prof. Wei-Hsuan Yu (Department of Mathematics, National Central University)
Title
Semidefinite Programming Bounds for Designs on Spheres and Hamming Spaces
Abstract
We use semidefinite programming(SDP) methods for spherical codes and energy minimization to improve lower bounds for designs on spheres and Hamming spaces in low-dimensional cases. In particular, we use the SDP to improve the bounds for Hamming designs (or orthogonal arrays, equivalently) and the harmonic index 4-designs on spheres.
