Universal Journal of Mathematics and Mathematical Sciences
Volume 12, Issue 2, Pages 85 - 87
(December 2019) http://dx.doi.org/10.17654/UM012020085 |
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SOME CODES AND DESIGNS RELATED TO MATHIEU GROUP M24
Vincent Marani, Lucy Chikamai and Shem Aywa
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Abstract: Let G be a primitive group M24. We determine the 1st non-trivial binary code from each representation of degree 24, 276, 759 and 1288, respectively, and determine its properties. We determine designs defined by the support of codewords of minimum weight and establish their primitivity. |
Keywords and phrases: strongly regular graph, two weight code, symmetric 1-design, automorphism group, modular representation.
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