Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2010
- DOI:
- 10.48550/arXiv.1005.1144
- arXiv:
- arXiv:1005.1144
- Bibcode:
- 2010arXiv1005.1144H
- Keywords:
-
- Mathematics - Quantum Algebra;
- 17B69;
- 94B05;
- 20E32
- E-Print:
- 21 pages, shortened from v1