the 1 isometry classes of irreducible [17,9,5]_2 codes are: code no 1: ================ 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 the automorphism group has order 136 and is strongly generated by the following 3 elements: ( 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 0 , 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 , 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 ) acting on the columns of the generator matrix as follows (in order): (2, 11, 6, 5)(3, 4, 15, 12)(7, 10, 14, 16)(8, 17, 9, 13), (2, 14, 11, 16, 6, 7, 5, 10)(3, 9, 4, 13, 15, 8, 12, 17), (1, 11, 5, 3, 12, 13, 6, 16)(2, 9, 7, 4, 10, 14, 15, 8) orbits: { 1, 16, 14, 11, 6, 10, 2, 13, 7, 5, 4, 8, 9, 12, 3, 15, 17 }