Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra

Details Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra

2010-05-07

arxiv.org/abs/1005.1144v2

Mathematics

Quantum Algebra

21 pages, shortened from v1

Scientific paper

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.

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