A quasi-symmetric 2-(49,9,6) design

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Abstract: Huffman and Tonchev discovered four non-isomorphic quasi-symmetric 2-(49,9,6) designs. They arise from extremal self-dual [50,25,10] codes with a certain weight enumerator. In this note, a new quasi-symmetric 2-(49,9,6) design is constructed. This is established by finding a new extremal self-dual [50,25,10] code as a neighbor of one of the four extremal codes discovered by Huffman and Tonchev. A number of new extremal self-dual [50,25,10] codes with other weight enumerators are also found.

Original languageEnglish
Pages (from-to)173-179
Number of pages7
JournalJournal of Combinatorial Designs
Issue number3
Publication statusPublished - 2002


  • Extremal self-dual code
  • Neighbor
  • Quasi-symmetric design
  • Weight enumerator


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