Journal title
Advances in Mathematics
DOI
10.1016/j.aim.2018.07.001
Volume
335
Last updated
2020-03-13T20:27:17.193+00:00
Page
307-321
Abstract
© 2018 Elsevier Inc. We prove a lower bound of Ω(d3/2⋅(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.
Symplectic ID
829012
Submitted to ORA
Off
Publication type
Journal Article
Publication date
7 September 2018