the 1 isometry classes of irreducible [8,3,5]_3 codes are: code no 1: ================ 1 1 1 1 1 2 0 0 2 2 1 1 0 0 2 0 2 1 2 0 1 0 0 2 the automorphism group has order 48 and is strongly generated by the following 5 elements: ( 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 , 2 0 0 0 0 0 0 0 1 0 2 2 1 1 0 0 1 0 0 0 1 2 1 0 2 , 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 1 1 1 1 1 0 0 2 0 0 , 2 2 2 2 2 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 , 1 2 1 0 2 1 1 1 1 1 0 0 0 1 0 2 0 0 0 0 0 1 0 0 0 ) acting on the columns of the generator matrix as follows (in order): (2, 3)(4, 5)(7, 8), (2, 4)(3, 7)(5, 8), (1, 2)(3, 5)(4, 6), (1, 6)(2, 5)(3, 4), (1, 4, 3, 7, 6, 2, 5, 8) orbits: { 1, 2, 6, 8, 3, 4, 5, 7 }