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

V. Pless and N.J.A. Sloane, On the classification and enumeration of self-dual codes, J. Combin. Theory Ser. A 18

1975

Earlier work this paper cites.

J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker and R.A. Wilson, ATLAS of Finite Groups, Clarendon Press, Oxford, 1985

1985

Earlier work this paper cites.

I.B. Frenkel, J. Lepowsky and A. Meurman, Vertex Operator Algebras and the Monster, Academic Press, New York, 1988

1988

Earlier work this paper cites.

J.H. Conway and N.J.A. Sloane, Self-dual codes over the integers modulo 4, J. Combin. Theory Ser. A 62

1993

Earlier work this paper cites.

C. Dong, Vertex algebras associated with even lattices, J. Algebra 161

1993

Earlier work this paper cites.

C. Dong, G. Mason and Y. Zhu, Discrete series of the Virasoro algebra and the moonshine module, Proc. Symp. Pure. Math. 56, Part 2

1994

Earlier work this paper cites.

Y.-Z. Huang, Virasoro vertex operator algebras, (non-meromorphic) operator product expansion and the tensor product theory, J. Algebra 182

1996

Earlier work this paper cites.

A. Bonnecaze, P. Solé, C. Bachoc and B. Mourrain, Type II codes over ℤ 4 \mathbb{Z}_{4} , IEEE Trans. Inform. Theory 43

1997

Cited alongside, same era.

A.R. Calderbank and N.J.A. Sloane, Double circulant codes over ℤ 4 \mathbb{Z}_{4} and even unimodular lattices, J. Algebraic Combin. 6

1997

Cited alongside, same era.

A.E. Brouwer, “Bounds on the size of linear codes,” in Handbook of Coding Theory, V.S. Pless and W.C. Huffman (Editors), Elsevier, Amsterdam, 1998, pp. 295–461

1998

Cited alongside, same era.

C. Dong, R.L. Griess, Jr. and G. Höhn, Framed vertex operator algebras, codes and the moonshine module, Commun. Math. Phys. 193

1998

Cited alongside, same era.

M. Miyamoto, Representation theory of code vertex operator algebras, J. Algebra 201

1998

Cited alongside, same era.

C.H. Lam, Some twisted module for framed vertex operator algebras, J. Algebra 231

2000

Later among the works it cites.

C. Dong and G. Mason, Holomorphic vertex operator algebras of small central charge, Pacific J. Math. 213

2004

Later among the works it cites.

M. Miyamoto, A new construction of the moonshine vertex operator algebra over the real number field, Ann. of Math. 159

2004

Later among the works it cites.

H. Yamauchi, 2A-orbifold construction and the baby-monster vertex operator superalgebra, J. Algebra 284

Original

2005

Later among the works it cites.

C.H. Lam and H. Yamauchi, A characterization of the moonshine vertex operator algebra by means of Virasoro frames, Int. Math. Res. Not. IMRN 2007

2007

Later among the works it cites.