Tricolore 3-designs in Type III codes

نویسندگان

Alexis Bonnecaze

Patrick Solé

Parampalli Udaya

چکیده

A split complete weight enumerator in six variables is used to study the 3-colored designs held by codewords of xed composition in Type III codes containing the all-one codeword. In particular the ternary Golay code contains 3-colored 3-designs. We conjecture that every weight class in a Type III code with the all-one codeword holds 3-colored 3-designs.

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