engleski

Orbit matrices of symmetric designs and related self-dual codes

We explore codes spanned by the rows of an orbit matrix of a symmetric design induced by the action of an automorphism group that acts with all orbits of the same length. We show that under some conditions the rows of extended orbit matrix span a self-dual code. Further, we show that sometimes a chain of codes can be used to associate a self-dual code to an orbit matrix of a symmetric design.

self-dual code ; orbit matrix ; symmetric design

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