New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra

  • Authors:
  • Hajime Tanaka

  • Affiliations:
  • Division of Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai, Japan

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2009

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Abstract

We use the Terwilliger algebra to provide a new approach to the Assmus-Mattson theorem. This approach also includes another proof of the minimum distance bound shown by W.J. Martin as well as its dual.