Universal polar dual pairs of spherical codes found in $E_8$ and ${\Lambda }_{24}$

S. V. Borodachov, P. G. Boyvalenkov, P. D. Dragnev +3

We identify universal polar dual pairs of spherical codes $C$ and $D$ such that for a large class of potential functions $h$ the minima of the discrete $h$-potential of $C$ on the…