Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra
arXiv:1005.1144 · doi:10.1007/s00209-012-1091-z
Abstract
In this paper, we study the residue codes of extremal Type II Z_4-codes of length 24 and their relations to the famous moonshine vertex operator algebra. The main result is a complete classification of all residue codes of extremal Type II Z_4-codes of length 24. Some corresponding results associated to the moonshine vertex operator algebra are also discussed.
21 pages, shortened from v1