Steiner 2-designs S(2,4,28) with nontrivial automorphisms

In this article designs with parameters S(2, 4, 28) and nontrivial automorphism groups are classified. A total of 4466 designs were found. Together with some S(2, 4, 28)’s with trivial automorphism groups found by A.Betten, D.Betten and V.D.Tonchev this sums up to 4653 nonisomorphic S(2, 4, 28) designs.

• Publication year

  2002

• Venue

  Glasnik Matematicki

• Publication date

  2002-12-01

• Fields of study

  Mathematics

• Identifiers

  No identifiers available.

• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Unitals and codes

  2003cited by this paper
• Characterizing the Hermitian and Ree Unitals on 28 Points

  1998cited by this paper
• Computing Linear Codes and Unitals

  1998cited by this paper
• The CRC handbook of combinatorial designs , edited by Charles J. Colbourn and Jeffrey H. Dinitz. Pp. 784. $89.95. 1996. ISBN 0-8493-8948-8 (CRC).

  1997cited by this paper
• The complete classification of Steiner systems S(2, 4, 25)

  1996cited by this paper
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  1995cited by this paper
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  1985cited by this paper
• Some unitals on 28 points and their embeddings in projective planes of order 9

  1981influential reference
• Some remarks concerning the Ree groups of type (G2)

  1966cited by this paper

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  2010cites this paper
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  2009cites this paper
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  2006cites this paper
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  2005cites this paper
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