the 1 isometry classes of irreducible [16,11,4]_2 codes are: code no 1: ================ 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 the automorphism group has order 322560 and is strongly generated by the following 13 elements: ( 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 , 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 , 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 , 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 , 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 , 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 , 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0 , 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 , 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 , 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 , 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 0 0 1 0 , 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 , 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 ) acting on the columns of the generator matrix as follows (in order): (5, 16)(6, 11)(12, 14)(13, 15), (5, 13)(6, 14)(11, 12)(15, 16), (5, 11)(6, 16)(12, 13)(14, 15), (4, 9)(5, 12)(8, 10)(11, 13), (4, 13)(5, 10)(8, 12)(9, 11), (4, 5)(8, 11)(9, 12)(10, 13), (3, 14)(4, 8)(5, 10)(7, 15)(9, 11)(12, 13), (3, 8, 14, 13)(4, 15, 12, 7)(5, 9)(10, 11), (3, 9, 15, 4, 13, 11, 6)(5, 16, 7, 10, 14, 8, 12), (2, 3)(4, 12)(5, 8)(6, 14)(9, 13)(10, 11), (2, 9, 7, 15, 14, 12, 11, 4, 5, 3, 13, 6, 10, 8, 16), (1, 5, 10, 14)(2, 8, 3, 9)(4, 6, 7, 13)(11, 12), (1, 6, 5, 13, 16)(2, 10, 14, 15, 8)(4, 11, 7, 12, 9) orbits: { 1, 14, 16, 12, 6, 15, 3, 8, 10, 5, 13, 11, 9, 4, 7, 2 }