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arXiv · 1005.1144

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

Masaaki Harada·Ching Hung Lam·Akihiro Munemasa
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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.

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Masaaki Harada, Ching Hung Lam, Akihiro Munemasa. 2011-09-16. Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra. https://doi.org/10.1007/s00209-012-1091-z

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