SOME CODES AND DESIGNS RELATED TO MATHIEU GROUP M24
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.
strongly regular graph, two weight code, symmetric 1-design, automorphism group, modular representation.
