English

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

Quantum Algebra 2013-05-21 v2

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.

Keywords

Cite

@article{arxiv.1005.1144,
  title  = {Residue codes of extremal Type II Z_4-codes and the moonshine vertex operator algebra},
  author = {Masaaki Harada and Ching Hung Lam and Akihiro Munemasa},
  journal= {arXiv preprint arXiv:1005.1144},
  year   = {2013}
}

Comments

21 pages, shortened from v1