Tricolore 3-designs in Type III codes

  title={Tricolore 3-designs in Type III codes},
  author={Alexis Bonnecaze and Patrick Sol{\'e} and Parampalli Udaya},
  journal={Discrete Mathematics},
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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