Abstract
In this paper, we study the residue codes of extremal Type II ℤ4-codes of length 24 and their relations to the famous moonshine vertex operator algebra (VOA). The main result is a complete classification of all residue codes of extremal Type II ℤ4-codes of length 24. Some corresponding results associated to the moonshine VOA are also discussed.
Original language | English |
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Pages (from-to) | 685-700 |
Number of pages | 16 |
Journal | Mathematische Zeitschrift |
Volume | 274 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 2013 Jun |
Keywords
- Binary doubly even code
- Binary triply even code
- Extremal Type II ℤ-code
- Framed vertex operator algebra
- Moonshine vertex operator algebra
ASJC Scopus subject areas
- Mathematics(all)