Some Linear Codes and Designs from Maximal Subgroup of Degree 1288 Related To Mathieu Group M24

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@article{1702619,
      author = {Lucy Chikamai},
      title = {Some Linear Codes and Designs from Maximal Subgroup of Degree 1288 Related To Mathieu Group M24},
      journal = {Iconic Research And Engineering Journals},
      year = {2021},
      volume = {4},
      number = {9},
      pages = {40-43},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1702619.pdf},
      abstract = {In this paper, we have recursively found all submodules of the permutation module of degree 1288. The permutation module split into 252 submodules. We constructed the partial lattice diagram of the submodules. We discussed four non trivial submodules of dimensions 11, 12, 22 and 23. We determined designs of minimum weight in C1288,i. We examined all symmetric 1-designs invariant under Mathieu group M24. 2010 Mathematics Subject Classification: 94B 05C},
      keywords = {Designs, Linear codes, Mathieu Group M24, Maximal sub-group},
      month = {March},
  }