Constant weight codes as orbits of AG₂(q)

There is a C(38,8,8) consisting of four orbits of length 666 and one of length 333 under AG₂(37). (the generators, the code)

There is a C(41,8,8) consisting of one orbit of length 1640, three orbits of length 820 and one of length 205 under AG₂(41). (the generators, the code)

There is a C(42,8,8) consisting of two orbits of length 1640, one orbit of length 820 , one orbit of length 410 and one of length 205 under AG₂(41). (the generators, the code)

Constant weight codes as orbits of PSL₂(2^f)

There is a C(65,8,8) consisting of two orbits of length 32760 under PSL₂(64). (the generators, the code 500kB)

There is a C(129,8,8) consisting of 11 orbits of length 262128 under PSL₂(128). (the generators)

Constant weight codes as orbits of PGammaL₂(2^f)

There is a C(129,16,16) consisting of one orbit of length 7339584 fife orbits of length 917448 and of one orbit of length 131064 under PGammaL₂(128). (the generators)

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