Construction of Extremal Type II Codes over ℤ4

@article{Gaborit1999ConstructionOE,
  title={Construction of Extremal Type II Codes over ℤ4},
  author={Philippe Gaborit and Masaaki Harada},
  journal={Designs, Codes and Cryptography},
  year={1999},
  volume={16},
  pages={257-269}
}
In this paper, we give a pseudo-random method to construct extremal Type II codes overℤ4 . As an application, we give a number of new extremal Type II codes of lengths 24, 32 and 40, constructed from some extremal doubly-even self-dual binary codes. The extremal Type II codes of length 24 have the property that the supports of the codewords of Hamming weight 10 form 5−(24,10,36) designs. It is also shown that every extremal doubly-even self-dual binary code of length 32 can be considered as the… CONTINUE READING

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