Extremal self-dual [40,20,8] codes with covering radius 7

  • Authors:
  • Masaaki Harada;Akihiro Munemasa;Kenichiro Tanabe

  • Affiliations:
  • Department of Mathematical Sciences, Yamagata University, Yamagata 9908560, Japan;Graduate School of Mathematics, Kyushu University, Fukuoka 8128581, Japan;Institute of Mathematics, University of Tsukuba, Tsukuba 3058571, Japan

  • Venue:
  • Finite Fields and Their Applications
  • Year:
  • 2004

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Abstract

We construct new extremal self-dual [40,20,8] codes with covering radius 7. It is also shown that the vectors of a fixed weight in a coset of weight 4n+2 in an extremal doubly even self-dual code of length 24n+16 such that the coset has no vector of weight 4n+4 form a 1-design.