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1702620PublishedVol 4 · Issue 9

Symmetric 1- Designs from Maximal Subgroup of Degree 1771 Related To Mathieu Group M24

Lucy Chikamai

Subject area: Science,Engineering and Technology  ·  Area of research: coding and design theory

Abstract

We construct symmetric 1-designs from the primitive permutation representations of degree 1771. We note that the binary row span of the incidence matrices of each design Dk yield the code denoted Ck. We examine the properties of some of the codes Ckwhere computations are possible. 2010 Mathematics Subject Classification: 94B 05C

Keywords

Linear codes, Designs, Mathieu Group M24, Maximal sub-group

How to cite this paper

Lucy Chikamai "Symmetric 1- Designs from Maximal Subgroup of Degree 1771 Related To Mathieu Group M24" Iconic Research And Engineering Journals Volume 4 Issue 9 2021 Page 44-45
Lucy Chikamai "Symmetric 1- Designs from Maximal Subgroup of Degree 1771 Related To Mathieu Group M24" Iconic Research And Engineering Journals, vol. 4, no. 9, Mar. 2021
Lucy Chikamai (2021). Symmetric 1- Designs from Maximal Subgroup of Degree 1771 Related To Mathieu Group M24. Iconic Research And Engineering Journals, 4(9).
Lucy Chikamai "Symmetric 1- Designs from Maximal Subgroup of Degree 1771 Related To Mathieu Group M24" Iconic Research And Engineering Journals, vol. 4, no. 9, Mar. 2021.
@article{1702620,
      author = {Lucy Chikamai},
      title = {Symmetric 1- Designs from Maximal Subgroup of Degree 1771 Related To Mathieu Group M24},
      journal = {Iconic Research And Engineering Journals},
      year = {2021},
      volume = {4},
      number = {9},
      pages = {44-45},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1702620.pdf},
      abstract = {We construct symmetric 1-designs from the primitive permutation representations of degree 1771. We note that the binary row span of the incidence matrices of each design Dk yield the code denoted Ck. We examine the properties of some of the codes Ckwhere computations are possible. 2010 Mathematics Subject Classification: 94B 05C},
      keywords = {Linear codes, Designs, Mathieu Group M24, Maximal sub-group},
      month = {March},
  }