An upper bound on the minimum weight of Type II Z2k-codes

  • Authors:

  • Masaaki Harada;Tsuyoshi Miezaki

  • Affiliations:

  • Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan and PRESTO, Japan Science and Technology Agency, Kawaguchi, Saitama 332-0012, Japan;Department of Mathematics, Hokkaido University, Hokkaido 060-0810, Japan

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2011

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Abstract

In this paper, we give a new upper bound on the minimum Euclidean weight of Type II Z"2"k-codes and the concept of extremality for the Euclidean weights when k=3,4,5,6. Together with the known result, we demonstrate that there is an extremal Type II Z"2"k-code of length 8m(m=