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

Combinatorics 2010-05-21 v1

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 Martin as well as its dual.

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Cite

@article{arxiv.math/0612740,
  title  = {New proofs of the Assmus-Mattson theorem based on the Terwilliger algebra},
  author = {Hajime Tanaka},
  journal= {arXiv preprint arXiv:math/0612740},
  year   = {2010}
}

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15 pages