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.
- Binary doubly even code
- Binary triply even code
- Extremal Type II ℤ-code
- Framed vertex operator algebra
- Moonshine vertex operator algebra
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