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I wonder what you think of this article:

C.F. Doran, M.G. Faux, S.J. Gates, Jr., T. Hubsch, K.M. Iga, G.D. Landweber "Relating Doubly-Even Error-Correcting Codes, Graphs,and Irreducible Representations of N-Extended Supersymmetry", http://arxiv.org/abs/0806.0051

Especially the hamming weight and distance - do they appear in other equations regarding physics?

My apologies if there already is a thread about this - I did search without success.