On Kissing Numbers in Dimensions 32 to 128 Yves Edel Mathematisches Institut der Universitaet Im Neuenheimer Feld 288 69120 Heidelberg, Germany E. M. Rains and N. J. A. Sloane AT&T Labs-Research 180 Park Avenue Florham Park, NJ 07932-0971, USA July 19 1998 ABSTRACT An elementary construction using binary codes gives new record kissing numbers in dimensions from 32 to 128. A slightly different version of this paper appeared in the Electronic J. Combinatorics, 5(1) (1998), paper R22. For the full version see http://www.research.att.com/~njas/doc/edel.pdf (pdf) or http://www.research.att.com/~njas/doc/edel.ps (ps)