engleski

On some new Steiner 2-designs S(2, 5, 45)

In this paper we classify Steiner S(2, 5, 45) designs having an automorphism group isomorphic to Z 6 or E 9 . We also construct S(2, 5, 45) designs having S 3 as an au- tomorphism group. Among the constructed Steiner designs there are 12 mutually nonisomorphic ones. To our best knowledge, 11 of the constructed Steiner S(2, 5, 45) designs are new. We also study LDPC codes of Steiner S(2, 5, 45) designs.

Steiner 2-design ; LDPC code

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