Database of self-dual codes over integers modulo 9

Length	Data	Remarks
1
2
3
4
5
6
7
8
9	Z9-9-1.magma Z9-9-2.magma	codes C with A(C)=Z^9 codes C with A(C)=E8+Z
10	Z9-10-1.magma Z9-10-2.magma	codes C with A(C)=Z^10 codes C with A(C)=E8+Z^2
11	Z9-11-1.magma Z9-11-2.magma	codes C with A(C)=Z^11 codes C with A(C)=E8+Z^3
12	Z9-12-1.magma Z9-12-2.magma Z9-12-3.magma	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.
J.M.P. Balmaceda, R.A.L. Betty and F.R. Nemenzo, Mass formula for self-dual codes over Z_{p^2}, Discrete Math. 308 (2008), 2984-3002.
S.T. Dougherty, T.A. Gulliver and J. Wong, Self-dual codes over Z_8 and Z_9, Des. Codes Cryptogr. 41 (2006), 235-249.
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.