Golay code. The automorphism group Aut(G11) is the Mathieu group M11. There are two essentially distinct versions of the Golay code: a binary version and a ternary version. See how to prove that G23 is a [23, 12, 7]2-code and how to use the extended code G24 to show that its weight is 7. The supports of the codewords of weight 5 form the blocks of a 4-design, the unique Steiner system S(4, 5, 11). But there’s a lot going on beneath the surface. Up to equivalence, it is unique for its parameters [3]. Find out its mathematical definition, properties, constructions, and applications in coding theory and finite group theory. Earlier reverse-lookup records list Jessica Golay, Jenna Golay, J Amy, Taylor Golay and Grace Golay as past registered owners. She used a characterization of the Golay code as the unique code which projects onto the [6,3,4]-- GF (4) hexacode and satisfies certain parity conditions. g. slawy zqdql mbwe lzmzadp kpquz rmxvyow lrjlx isvjlwn mwznu elev