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

Masaaki Harada; Ching Hung Lam; Akihiro Munemasa

doi:10.1007/s00209-012-1091-z

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

Masaaki Harada, Ching Hung Lam, Akihiro Munemasa

INF - Computer and Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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
Pages (from-to)	685-700
Number of pages	16
Journal	Mathematische Zeitschrift
Volume	274
Issue number	1-2
DOIs	https://doi.org/10.1007/s00209-012-1091-z
Publication status	Published - 2013 Jun 1

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)

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10.1007/s00209-012-1091-z

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AU - Lam, Ching Hung

AU - Munemasa, Akihiro

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KW - Framed vertex operator algebra

KW - Moonshine vertex operator algebra

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