engleski

Orbit matrices and self-orthogonal codes

Harada and Tonchev recently presented a construction of self-orthogonal codes from orbit matrices of symmetric designs with fi xed-point-free automorphisms. Using this method we construct self-orthogonal codes from orbit matrices of some symmetric designs of Menon type. Further, we describe a construction of self-orthogonal codes from orbit matrices of symmetric designs admitting certain automorphisms with fixed points (and blocks). In addition, we discuss a generalization of this method of construction of self-orthogonal codes from some other combinatorial structures.

orbit matrix; self-orhogonal code

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