Residue codes of extremal Type II Z₄-codes and the moonshine vertex operator algebra
classification
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codesalgebraextremalmoonshineoperatorresiduetypevertex
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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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