Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra
Masaaki Harada, Ching Hung Lam, Akihiro Munemasa
TL;DR
This paper classifies all residue codes of extremal Type II Z_4-codes of length 24 and explores their connections to the moonshine vertex operator algebra, providing new insights into their structure and relationships.
Contribution
It provides a complete classification of residue codes of extremal Type II Z_4-codes of length 24 and discusses their relation to the moonshine vertex operator algebra.
Findings
Complete classification of residue codes achieved
Identified connections to the moonshine vertex operator algebra
Enhanced understanding of extremal Type II Z_4-codes
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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