engleski

Orbit matrices of Hadamard matrices and related codes

In this talk we introduce the notion of orbit matrices of Hadamard matrices with respect to their permutation automorphism groups. This definition of an orbit matrix of a Hadamard matrix is a generalization of the definition of an orbit matrix of an incidence structure which can be applied to a wider range of matrices, not just to $\{; 0, 1 \};$ matrices (incidence matrices of incidence structures). We show that under certain conditions these orbit matrices yield self-orthogonal codes.

Hadamard matrix, orbit matrix, self-orthogonal code

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