engleski

Groups acting on combinatorial designs and related codes

We will describe a construction of 1-designs determined by a transitive action of a finite group. In some cases the constructed 1-designs are also 2-designs. Further, we discuss linear codes obtained from combinatorial structures and corresponding orbit matrices. In that way on can construct codes with large automorphism groups, which are suitable for permutation decoding.

finite group, combinatorial design, permutation decoding

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