the 1 isometry classes of irreducible [39,35,3]_3 codes are: code no 1: ================ 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 the automorphism group has order 303264 and is strongly generated by the following 10 elements: ( 2 0 0 0 0 2 0 0 0 0 1 0 0 0 2 2 , 1 0 0 0 0 2 0 0 0 0 1 0 0 1 0 1 , 2 0 0 0 0 1 0 0 0 0 2 0 1 0 1 1 , 1 0 0 0 0 1 0 0 2 1 0 2 2 1 2 0 , 2 0 0 0 0 2 0 0 2 0 2 0 2 0 0 2 , 2 0 0 0 0 2 0 0 1 1 1 0 1 1 2 2 , 1 0 0 0 0 2 2 0 0 2 1 2 0 0 2 0 , 2 0 0 0 2 0 2 1 1 1 2 2 0 2 2 2 , 0 2 2 1 2 0 0 2 1 0 1 0 1 0 1 2 , 0 0 0 1 0 1 2 2 2 1 1 2 0 0 1 1 ) acting on the columns of the generator matrix as follows (in order): (4, 24)(5, 19)(8, 9)(10, 13)(11, 15)(12, 14)(16, 25)(17, 26)(18, 27)(20, 28)(21, 29)(22, 30)(23, 31), (4, 18)(5, 25)(6, 7)(10, 13)(11, 14)(12, 15)(16, 19)(17, 20)(24, 27)(26, 28)(32, 35)(33, 36)(34, 37), (4, 25)(5, 18)(6, 7)(10, 13)(11, 14)(12, 15)(16, 24)(17, 26)(19, 27)(20, 28)(21, 30)(22, 29)(23, 31)(32, 33)(35, 36)(38, 39), (3, 22)(4, 14)(5, 25)(8, 21)(9, 23)(10, 19)(11, 18)(12, 20)(13, 16)(15, 17)(24, 28)(26, 27)(29, 31), (3, 9, 8)(4, 17, 16)(5, 28, 27)(10, 12, 11)(13, 15, 14)(18, 20, 19)(21, 23, 22)(24, 25, 26)(29, 30, 31), (3, 11)(4, 31)(5, 23)(8, 10)(9, 12)(13, 14)(16, 29)(17, 30)(18, 26)(19, 24)(20, 25)(21, 28)(22, 27), (2, 21, 10)(3, 4, 35)(5, 33, 31)(6, 22, 12)(7, 23, 11)(8, 17, 37)(9, 16, 36)(13, 18, 24)(14, 19, 26)(15, 20, 25)(27, 32, 29)(28, 34, 30), (2, 34)(3, 31)(4, 27)(5, 16)(6, 33)(7, 32)(8, 29)(9, 30)(11, 12)(13, 20)(14, 19)(15, 18)(17, 28)(21, 22)(24, 25)(35, 36), (1, 38)(2, 11, 6, 28, 7, 16)(3, 29, 30, 23, 22, 8)(4, 32, 10, 33, 27, 34)(5, 36, 17, 35, 12, 37)(9, 21, 31)(13, 20, 26)(14, 15, 25, 24, 18, 19), (1, 31, 28, 9, 37, 25, 15, 5, 39, 3, 17, 29, 2, 18, 19, 11, 38, 23, 10, 22, 34, 14, 24, 4)(6, 12, 8, 13)(7, 33, 35)(16, 30, 26, 36, 27, 21, 20, 32) orbits: { 1, 38, 4, 39, 11, 24, 18, 25, 14, 16, 31, 3, 27, 34, 5, 15, 12, 23, 2, 19, 28, 26, 13, 20, 37, 17, 29, 9, 7, 32, 30, 33, 21, 22, 8, 35, 36, 10, 6 }