The Existence of Extremal Self-Dual [50, 25, 10] Codes and Quasi-Symmetric 2-(49, 9, 6) Designs

@article{Huffman1995TheEO,
  title={The Existence of Extremal Self-Dual [50, 25, 10] Codes and Quasi-Symmetric 2-(49, 9, 6) Designs},
  author={W. Cary Huffman and Vladimir D. Tonchev},
  journal={Des. Codes Cryptography},
  year={1995},
  volume={6},
  pages={97-106}
}
All extrernal binary self-dual [50,25,10] codes with an automorphism of order 7 are enumerated. Up to equivalence, there are four such codes, three with full automorphism group of order 21, and one code with full group of order 7. The minimum weight codewords yield quasi-symmetric 2-(49,9,6) designs. 

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.

References

Publications referenced by this paper.
Showing 1-7 of 7 references

Self-orthogonal designs

  • V. D. Tonchev
  • Contemporary Math., Vol
  • 1990
Highly Influential
10 Excerpts

Quasi-symmetric designs, LMSLecmre

  • M. S. Shrikhande, S. S. Sane
  • Note Set.,
  • 1991
1 Excerpt

Design Theory, Cambridge University

  • Th. Beth, D. Jungnickel, H. Lenz
  • 1986
1 Excerpt