Construction of Extremal Type II Codes over ℤ4

Philippe Gaborit, Masaaki Harada

研究成果: Article

3 被引用数 (Scopus)

抄録

In this paper, we give a pseudo-random method to construct extremal Type II codes over ℤ4;. 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 residual code of an extremal Type II code over ℤ4.

本文言語English
ページ(範囲)257-269
ページ数13
ジャーナルDesigns, Codes, and Cryptography
16
3
DOI
出版ステータスPublished - 1999 1 1
外部発表はい

ASJC Scopus subject areas

  • Computer Science Applications
  • Applied Mathematics

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