Tricolore 3-designs in Type III codes

@article{Bonnecaze2001Tricolore3I,
  title={Tricolore 3-designs in Type III codes},
  author={Alexis Bonnecaze and Patrick Sol{\'e} and Parampalli Udaya},
  journal={Discrete Mathematics},
  year={2001},
  volume={241},
  pages={129-138}
}
A split complete weight enumerator in six variables is used to study the colored designs held by codewords of xed composition in Type III codes containing the all one codeword In particular the ternary Golay code contains colored designs We conjecture that every weight class in a Type III code with the all one codeword holds colored designs Introduction Colored designs were introduced in to study the Harada designs held by the lifted Golay over Z They produce ordinary designs by bleaching and… CONTINUE READING

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Extremal double circulant type II codes over Z 4 and 5- (24,10,36) designs, Discrete Math

  • T A Gulliver, M Harada
  • Extremal double circulant type II codes over Z 4…
  • 1998

New 5-designs constructed from the lifted Golay code over Z 4

  • M Harada
  • J. of Combin. Designs
  • 1998

Sol e, 3-colored 5-designs and Z 4 ?codes, submitted to

  • A Bonnecaze, E Rains
  • J. of Statistical Planning and Inference
  • 1998

Type II codes, and Designs, Designs, Codes and Cryptography

  • A Bonnecaze, B Mourrain, P Sol E, Jacobi Polynomials
  • Type II codes, and Designs, Designs, Codes and…
  • 1998

On the notion of Jacobi polynomials for codes

  • M Ozeki
  • Math. Proc. Cambridge Phil. Soc
  • 1997

Construction of Jacobi forms from certain combinatorial polynomials

  • E Bannai, M Ozeki
  • Proceedings of the Japan Academy
  • 1996

Magma: A new computer algebra system

  • J Cannon, C Playoust
  • Euromath Bulletin
  • 1996

On Jacobi forms of weight 4

  • S Bannai, M Minashima, Ozeki
  • Kyushu J. of Math
  • 1996

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