On kissing numbers and spherical codes in high dimensions.

We prove a lower bound of Ω ( d 3 / 2 ⋅ ( 2 / 3 ) d ) on the kissing number in dimension d . This improves the classical lower bound of Chabauty, Shannon, and Wyner by a linear factor in the dimension. We obtain a similar linear factor improvement to the best known lower bound on the maximal size of a spherical code of acute angle θ in high dimensions. [ABSTRACT FROM AUTHOR]