Displaying similar documents to “On STD 6 [ 18 , 3 ] 's and STD 7 [ 21 , 3 ] 's admitting a semiregular automorphism group of order 9.”

New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10

Landjev, Ivan, Topalova, Svetlana (1998)

Serdica Mathematical Journal

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∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995. In this note we construct five new symmetric 2-(61,16,4) designs invariant under the dihedral group of order 10. As a by-product we obtain 25 new residual 2-(45,12,4) designs. The automorphism groups of all new designs are computed.

Properties of the Steiner triple systems of order 19.

Colbourn, Charles J., Forbes, Anthony D., Grannell, Mike J., Griggs, Terry S., Kaski, Petteri, Östergård, Patric R.J., Pike, David A., Pottonen, Olli (2010)

The Electronic Journal of Combinatorics [electronic only]

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Constructing a Canonical form of a Matrix in Several Problems about Combinatorial Designs

Mateva, Zlatka (2008)

Serdica Journal of Computing

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Partially supported by the Bulgarian Science Fund contract with TU Varna, No 487. The author developed computer programs needed for the classification of designs with certain automorphisms by the local approach method. All these programs use canonicity test or/and construction of canonical form of an integer matrix. Their efficiency substantially influences the speed of the whole computation. The present paper deals with the implemented canonicity algorithm. It is based...