Database of self-dual codes over integers modulo 6

Length	Data	Remarks
4
8	Z6-8-I.magma Z6-8-II.magma	Type I Type II
12	Z6-12-1.magma Z6-12-2.magma Z6-12-3.magma	codes C with A(C)=D12 codes C with A(C)=Z^12 codes C with A(C)=E8+Z^4

Length

Data

Remarks

Type I
Type II

codes C with A(C)=D12
codes C with A(C)=Z^12
codes C with A(C)=E8+Z^4

Data files are in Magma format.

Magma programs

E. Bannai, S.T. Dougherty, M. Harada and M. Oura, Type II codes, even unimodular lattices, and invariant rings, IEEE Trans. Inform. Theory 45 (1999), 1194-1205.
S.T. Dougherty, M. Harada and P. Sole, Self-dual codes over rings and the Chinese remainder theorem, Hokkaido Math. J. 28 (1999), 253-283.
M. Harada and A. Munemasa, On the classification of self-dual Z_k-codes, Cryptography and coding, 78-90, Lecture Notes in Comput. Sci., 5921, Springer, Berlin, 2009.
M. Kitazume and T. Ooi, Classification of type II Z_6-codes of length 8, AKCE Int. J. Graphs Comb. 1 (2004), 35-40.
Y.H. Park, Modular independence and generator matrices for codes over Z_m, Des. Codes Cryptogr. 50 (2009), 147-162.