Information on Result #714444
Linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8110, 2097206, F8, 16) (dual of [2097206, 2097096, 17]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(8172, 32810, F8, 36) (dual of [32810, 32638, 37]-code) | [i] | ||
| 3 | Linear OA(8162, 32810, F8, 34) (dual of [32810, 32648, 35]-code) | [i] | ||
| 4 | Linear OA(8152, 32810, F8, 32) (dual of [32810, 32658, 33]-code) | [i] | ||
| 5 | Linear OA(882, 32810, F8, 16) (dual of [32810, 32728, 17]-code) | [i] | ||
| 6 | Linear OA(8152, 32820, F8, 30) (dual of [32820, 32668, 31]-code) | [i] | ||
| 7 | Linear OA(8142, 32820, F8, 28) (dual of [32820, 32678, 29]-code) | [i] | ||
| 8 | Linear OA(8132, 32820, F8, 26) (dual of [32820, 32688, 27]-code) | [i] | ||
| 9 | Linear OA(8122, 32820, F8, 24) (dual of [32820, 32698, 25]-code) | [i] | ||
| 10 | Linear OA(8140, 4132, F8, 36) (dual of [4132, 3992, 37]-code) | [i] | ||
| 11 | Linear OA(8132, 4132, F8, 34) (dual of [4132, 4000, 35]-code) | [i] | ||
| 12 | Linear OA(8124, 4132, F8, 32) (dual of [4132, 4008, 33]-code) | [i] | ||
| 13 | Linear OA(8172, 4140, F8, 44) (dual of [4140, 3968, 45]-code) | [i] | ||
| 14 | Linear OA(8164, 4140, F8, 42) (dual of [4140, 3976, 43]-code) | [i] | ||
| 15 | Linear OA(8156, 4140, F8, 40) (dual of [4140, 3984, 41]-code) | [i] | ||
| 16 | Linear OA(8150, 542, F8, 52) (dual of [542, 392, 53]-code) | [i] | ||
| 17 | Linear OA(8144, 542, F8, 50) (dual of [542, 398, 51]-code) | [i] | ||
| 18 | Linear OA(8138, 542, F8, 48) (dual of [542, 404, 49]-code) | [i] | ||
| 19 | Linear OA(8108, 542, F8, 36) (dual of [542, 434, 37]-code) | [i] | ||
| 20 | Linear OA(8102, 542, F8, 34) (dual of [542, 440, 35]-code) | [i] | ||
| 21 | Linear OA(896, 542, F8, 32) (dual of [542, 446, 33]-code) | [i] | ||
| 22 | Linear OA(8168, 548, F8, 58) (dual of [548, 380, 59]-code) | [i] | ||
| 23 | Linear OA(8162, 548, F8, 56) (dual of [548, 386, 57]-code) | [i] | ||
| 24 | Linear OA(8138, 548, F8, 46) (dual of [548, 410, 47]-code) | [i] | ||
| 25 | Linear OA(8132, 548, F8, 44) (dual of [548, 416, 45]-code) | [i] | ||
| 26 | Linear OA(8126, 548, F8, 42) (dual of [548, 422, 43]-code) | [i] | ||
| 27 | Linear OA(8120, 548, F8, 40) (dual of [548, 428, 41]-code) | [i] | ||
| 28 | Linear OA(896, 548, F8, 30) (dual of [548, 452, 31]-code) | [i] | ||
| 29 | Linear OA(890, 548, F8, 28) (dual of [548, 458, 29]-code) | [i] | ||
| 30 | Linear OA(878, 548, F8, 24) (dual of [548, 470, 25]-code) | [i] | ||
| 31 | Linear OA(813, 67, F8, 7) (dual of [67, 54, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 32 | Linear OA(815, 67, F8, 8) (dual of [67, 52, 9]-code) | [i] | ✔ | |
| 33 | Linear OA(874, 549, F8, 23) (dual of [549, 475, 24]-code) | [i] | ||
| 34 | Linear OA(877, 551, F8, 24) (dual of [551, 474, 25]-code) | [i] | ||
| 35 | Linear OA(876, 547, F8, 24) (dual of [547, 471, 25]-code) | [i] | ||
| 36 | Linear OA(882, 547, F8, 27) (dual of [547, 465, 28]-code) | [i] | ||
| 37 | Linear OA(883, 549, F8, 27) (dual of [549, 466, 28]-code) | [i] | ||
| 38 | Linear OA(891, 562, F8, 28) (dual of [562, 471, 29]-code) | [i] | ||
| 39 | Linear OA(891, 556, F8, 29) (dual of [556, 465, 30]-code) | [i] | ||
| 40 | Linear OA(895, 549, F8, 31) (dual of [549, 454, 32]-code) | [i] | ||
| 41 | Linear OA(8100, 565, F8, 31) (dual of [565, 465, 32]-code) | [i] | ||
| 42 | Linear OA(8103, 565, F8, 32) (dual of [565, 462, 33]-code) | [i] | ||
| 43 | Linear OA(8100, 556, F8, 32) (dual of [556, 456, 33]-code) | [i] | ||
| 44 | Linear OA(898, 551, F8, 32) (dual of [551, 453, 33]-code) | [i] | ||
| 45 | Linear OA(897, 547, F8, 32) (dual of [547, 450, 33]-code) | [i] | ||
| 46 | Linear OA(8103, 562, F8, 33) (dual of [562, 459, 34]-code) | [i] | ||
| 47 | Linear OA(8106, 562, F8, 34) (dual of [562, 456, 35]-code) | [i] | ||
| 48 | Linear OA(8109, 562, F8, 35) (dual of [562, 453, 36]-code) | [i] | ||
| 49 | Linear OA(8103, 547, F8, 35) (dual of [547, 444, 36]-code) | [i] | ||
| 50 | Linear OA(8104, 549, F8, 35) (dual of [549, 445, 36]-code) | [i] | ||
| 51 | Linear OA(8112, 562, F8, 36) (dual of [562, 450, 37]-code) | [i] | ||
| 52 | Linear OA(8112, 556, F8, 37) (dual of [556, 444, 38]-code) | [i] | ||
| 53 | Linear OA(8116, 549, F8, 39) (dual of [549, 433, 40]-code) | [i] | ||
| 54 | Linear OA(8121, 565, F8, 39) (dual of [565, 444, 40]-code) | [i] | ||
| 55 | Linear OA(8124, 565, F8, 40) (dual of [565, 441, 41]-code) | [i] | ||
| 56 | Linear OA(8121, 556, F8, 40) (dual of [556, 435, 41]-code) | [i] | ||
| 57 | Linear OA(8119, 551, F8, 40) (dual of [551, 432, 41]-code) | [i] | ||
| 58 | Linear OA(8118, 547, F8, 40) (dual of [547, 429, 41]-code) | [i] | ||
| 59 | Linear OA(8124, 562, F8, 41) (dual of [562, 438, 42]-code) | [i] | ||
| 60 | Linear OA(8127, 562, F8, 42) (dual of [562, 435, 43]-code) | [i] | ||
| 61 | Linear OA(8130, 562, F8, 43) (dual of [562, 432, 44]-code) | [i] | ||
| 62 | Linear OA(8124, 547, F8, 43) (dual of [547, 423, 44]-code) | [i] | ||
| 63 | Linear OA(8125, 549, F8, 43) (dual of [549, 424, 44]-code) | [i] | ||
| 64 | Linear OA(8133, 562, F8, 44) (dual of [562, 429, 45]-code) | [i] | ||
| 65 | Linear OA(8133, 556, F8, 45) (dual of [556, 423, 46]-code) | [i] | ||
| 66 | Linear OA(8137, 549, F8, 47) (dual of [549, 412, 48]-code) | [i] | ||
| 67 | Linear OA(8142, 565, F8, 47) (dual of [565, 423, 48]-code) | [i] | ||
| 68 | Linear OA(8145, 565, F8, 48) (dual of [565, 420, 49]-code) | [i] | ||
| 69 | Linear OA(8142, 556, F8, 48) (dual of [556, 414, 49]-code) | [i] | ||
| 70 | Linear OA(8140, 551, F8, 48) (dual of [551, 411, 49]-code) | [i] | ||
| 71 | Linear OA(8139, 547, F8, 48) (dual of [547, 408, 49]-code) | [i] | ||
| 72 | Linear OA(8145, 562, F8, 49) (dual of [562, 417, 50]-code) | [i] | ||
| 73 | Linear OA(8148, 562, F8, 50) (dual of [562, 414, 51]-code) | [i] | ||
| 74 | Linear OA(8151, 562, F8, 51) (dual of [562, 411, 52]-code) | [i] | ||
| 75 | Linear OA(8145, 547, F8, 51) (dual of [547, 402, 52]-code) | [i] | ||
| 76 | Linear OA(8146, 549, F8, 51) (dual of [549, 403, 52]-code) | [i] | ||
| 77 | Linear OA(8154, 562, F8, 52) (dual of [562, 408, 53]-code) | [i] | ||
| 78 | Linear OA(8154, 556, F8, 53) (dual of [556, 402, 54]-code) | [i] | ||
| 79 | Linear OA(8158, 549, F8, 55) (dual of [549, 391, 56]-code) | [i] | ||
| 80 | Linear OA(8163, 565, F8, 55) (dual of [565, 402, 56]-code) | [i] | ||
| 81 | Linear OA(8166, 565, F8, 56) (dual of [565, 399, 57]-code) | [i] | ||
| 82 | Linear OA(8163, 556, F8, 56) (dual of [556, 393, 57]-code) | [i] | ||
| 83 | Linear OA(8161, 551, F8, 56) (dual of [551, 390, 57]-code) | [i] | ||
| 84 | Linear OA(8160, 547, F8, 56) (dual of [547, 387, 57]-code) | [i] | ||
| 85 | Linear OA(8166, 562, F8, 57) (dual of [562, 396, 58]-code) | [i] | ||
| 86 | Linear OA(8169, 562, F8, 58) (dual of [562, 393, 59]-code) | [i] | ||
| 87 | Linear OA(8172, 562, F8, 59) (dual of [562, 390, 60]-code) | [i] | ||
| 88 | Linear OA(8166, 547, F8, 59) (dual of [547, 381, 60]-code) | [i] | ||
| 89 | Linear OA(8167, 549, F8, 59) (dual of [549, 382, 60]-code) | [i] | ||
| 90 | Linear OA(8152, 545, F8, 52) (dual of [545, 393, 53]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 91 | Linear OA(8146, 545, F8, 50) (dual of [545, 399, 51]-code) | [i] | ||
| 92 | Linear OA(8140, 545, F8, 48) (dual of [545, 405, 49]-code) | [i] | ||
| 93 | Linear OA(8110, 545, F8, 36) (dual of [545, 435, 37]-code) | [i] | ||
| 94 | Linear OA(8104, 545, F8, 34) (dual of [545, 441, 35]-code) | [i] | ||
| 95 | Linear OA(898, 545, F8, 32) (dual of [545, 447, 33]-code) | [i] | ||
| 96 | Linear OA(8173, 2097205, F8, 27) (dual of [2097205, 2097032, 28]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 97 | Linear OA(8166, 2097205, F8, 26) (dual of [2097205, 2097039, 27]-code) | [i] | ||
| 98 | Linear OA(8159, 2097205, F8, 25) (dual of [2097205, 2097046, 26]-code) | [i] | ||
| 99 | Linear OA(8145, 2097205, F8, 22) (dual of [2097205, 2097060, 23]-code) | [i] | ||
| 100 | Linear OA(8138, 2097205, F8, 21) (dual of [2097205, 2097067, 22]-code) | [i] | ||
| 101 | Linear OA(8131, 2097205, F8, 20) (dual of [2097205, 2097074, 21]-code) | [i] | ||
| 102 | Linear OA(8124, 2097205, F8, 19) (dual of [2097205, 2097081, 20]-code) | [i] | ||
| 103 | Linear OA(8117, 2097205, F8, 18) (dual of [2097205, 2097088, 19]-code) | [i] | ||
| 104 | Linear OA(8110, 2097205, F8, 17) (dual of [2097205, 2097095, 18]-code) | [i] | ||
| 105 | Linear OA(896, 2097205, F8, 14) (dual of [2097205, 2097109, 15]-code) | [i] | ||
| 106 | Linear OA(8159, 2097212, F8, 24) (dual of [2097212, 2097053, 25]-code) | [i] | ||
| 107 | Linear OA(8110, 2097212, F8, 16) (dual of [2097212, 2097102, 17]-code) | [i] | ||
| 108 | Linear OA(8168, 262191, F8, 30) (dual of [262191, 262023, 31]-code) | [i] | ||
| 109 | Linear OA(8162, 262191, F8, 29) (dual of [262191, 262029, 30]-code) | [i] | ||
| 110 | Linear OA(8156, 262191, F8, 28) (dual of [262191, 262035, 29]-code) | [i] | ||
| 111 | Linear OA(8150, 262191, F8, 27) (dual of [262191, 262041, 28]-code) | [i] | ||
| 112 | Linear OA(8144, 262191, F8, 26) (dual of [262191, 262047, 27]-code) | [i] | ||
| 113 | Linear OA(8138, 262191, F8, 25) (dual of [262191, 262053, 26]-code) | [i] | ||
| 114 | Linear OA(8126, 262191, F8, 22) (dual of [262191, 262065, 23]-code) | [i] | ||
| 115 | Linear OA(8120, 262191, F8, 21) (dual of [262191, 262071, 22]-code) | [i] | ||
| 116 | Linear OA(8114, 262191, F8, 20) (dual of [262191, 262077, 21]-code) | [i] | ||
| 117 | Linear OA(8108, 262191, F8, 19) (dual of [262191, 262083, 20]-code) | [i] | ||
| 118 | Linear OA(8102, 262191, F8, 18) (dual of [262191, 262089, 19]-code) | [i] | ||
| 119 | Linear OA(896, 262191, F8, 17) (dual of [262191, 262095, 18]-code) | [i] | ||
| 120 | Linear OA(8138, 262197, F8, 24) (dual of [262197, 262059, 25]-code) | [i] | ||
| 121 | Linear OA(8172, 32809, F8, 37) (dual of [32809, 32637, 38]-code) | [i] | ||
| 122 | Linear OA(8167, 32809, F8, 36) (dual of [32809, 32642, 37]-code) | [i] | ||
| 123 | Linear OA(8162, 32809, F8, 35) (dual of [32809, 32647, 36]-code) | [i] | ||
| 124 | Linear OA(8157, 32809, F8, 34) (dual of [32809, 32652, 35]-code) | [i] | ||
| 125 | Linear OA(8152, 32809, F8, 33) (dual of [32809, 32657, 34]-code) | [i] | ||
| 126 | Linear OA(8142, 32809, F8, 30) (dual of [32809, 32667, 31]-code) | [i] | ||
| 127 | Linear OA(8137, 32809, F8, 29) (dual of [32809, 32672, 30]-code) | [i] | ||
| 128 | Linear OA(8132, 32809, F8, 28) (dual of [32809, 32677, 29]-code) | [i] | ||
| 129 | Linear OA(8127, 32809, F8, 27) (dual of [32809, 32682, 28]-code) | [i] | ||
| 130 | Linear OA(8122, 32809, F8, 26) (dual of [32809, 32687, 27]-code) | [i] | ||
| 131 | Linear OA(8117, 32809, F8, 25) (dual of [32809, 32692, 26]-code) | [i] | ||
| 132 | Linear OA(8107, 32809, F8, 22) (dual of [32809, 32702, 23]-code) | [i] | ||
| 133 | Linear OA(8102, 32809, F8, 21) (dual of [32809, 32707, 22]-code) | [i] | ||
| 134 | Linear OA(897, 32809, F8, 20) (dual of [32809, 32712, 21]-code) | [i] | ||
| 135 | Linear OA(892, 32809, F8, 19) (dual of [32809, 32717, 20]-code) | [i] | ||
| 136 | Linear OA(887, 32809, F8, 18) (dual of [32809, 32722, 19]-code) | [i] | ||
| 137 | Linear OA(882, 32809, F8, 17) (dual of [32809, 32727, 18]-code) | [i] | ||
| 138 | Linear OA(872, 32809, F8, 14) (dual of [32809, 32737, 15]-code) | [i] | ||
| 139 | Linear OA(8152, 32814, F8, 32) (dual of [32814, 32662, 33]-code) | [i] | ||
| 140 | Linear OA(8117, 32814, F8, 24) (dual of [32814, 32697, 25]-code) | [i] | ||
| 141 | Linear OA(882, 32814, F8, 16) (dual of [32814, 32732, 17]-code) | [i] | ||
| 142 | Linear OA(8172, 4131, F8, 46) (dual of [4131, 3959, 47]-code) | [i] | ||
| 143 | Linear OA(8168, 4131, F8, 45) (dual of [4131, 3963, 46]-code) | [i] | ||
| 144 | Linear OA(8164, 4131, F8, 44) (dual of [4131, 3967, 45]-code) | [i] | ||
| 145 | Linear OA(8160, 4131, F8, 43) (dual of [4131, 3971, 44]-code) | [i] | ||
| 146 | Linear OA(8156, 4131, F8, 42) (dual of [4131, 3975, 43]-code) | [i] | ||
| 147 | Linear OA(8152, 4131, F8, 41) (dual of [4131, 3979, 42]-code) | [i] | ||
| 148 | Linear OA(8144, 4131, F8, 38) (dual of [4131, 3987, 39]-code) | [i] | ||
| 149 | Linear OA(8140, 4131, F8, 37) (dual of [4131, 3991, 38]-code) | [i] | ||
| 150 | Linear OA(8136, 4131, F8, 36) (dual of [4131, 3995, 37]-code) | [i] | ||
| 151 | Linear OA(8132, 4131, F8, 35) (dual of [4131, 3999, 36]-code) | [i] | ||
| 152 | Linear OA(8128, 4131, F8, 34) (dual of [4131, 4003, 35]-code) | [i] | ||
| 153 | Linear OA(8124, 4131, F8, 33) (dual of [4131, 4007, 34]-code) | [i] | ||
| 154 | Linear OA(8116, 4131, F8, 30) (dual of [4131, 4015, 31]-code) | [i] | ||
| 155 | Linear OA(8112, 4131, F8, 29) (dual of [4131, 4019, 30]-code) | [i] | ||
| 156 | Linear OA(8108, 4131, F8, 28) (dual of [4131, 4023, 29]-code) | [i] | ||
| 157 | Linear OA(8104, 4131, F8, 27) (dual of [4131, 4027, 28]-code) | [i] | ||
| 158 | Linear OA(8100, 4131, F8, 26) (dual of [4131, 4031, 27]-code) | [i] | ||
| 159 | Linear OA(896, 4131, F8, 25) (dual of [4131, 4035, 26]-code) | [i] | ||
| 160 | Linear OA(8152, 4135, F8, 40) (dual of [4135, 3983, 41]-code) | [i] | ||
| 161 | Linear OA(8124, 4135, F8, 32) (dual of [4135, 4011, 33]-code) | [i] | ||
| 162 | Linear OA(8171, 541, F8, 61) (dual of [541, 370, 62]-code) | [i] | ||
| 163 | Linear OA(8168, 541, F8, 60) (dual of [541, 373, 61]-code) | [i] | ||
| 164 | Linear OA(8165, 541, F8, 59) (dual of [541, 376, 60]-code) | [i] | ||
| 165 | Linear OA(8162, 541, F8, 58) (dual of [541, 379, 59]-code) | [i] | ||
| 166 | Linear OA(8159, 541, F8, 57) (dual of [541, 382, 58]-code) | [i] | ||
| 167 | Linear OA(8153, 541, F8, 54) (dual of [541, 388, 55]-code) | [i] | ||
| 168 | Linear OA(8150, 541, F8, 53) (dual of [541, 391, 54]-code) | [i] | ||
| 169 | Linear OA(8147, 541, F8, 52) (dual of [541, 394, 53]-code) | [i] | ||
| 170 | Linear OA(8144, 541, F8, 51) (dual of [541, 397, 52]-code) | [i] | ||
| 171 | Linear OA(8141, 541, F8, 50) (dual of [541, 400, 51]-code) | [i] | ||
| 172 | Linear OA(8138, 541, F8, 49) (dual of [541, 403, 50]-code) | [i] | ||
| 173 | Linear OA(8132, 541, F8, 46) (dual of [541, 409, 47]-code) | [i] | ||
| 174 | Linear OA(8129, 541, F8, 45) (dual of [541, 412, 46]-code) | [i] | ||
| 175 | Linear OA(8126, 541, F8, 44) (dual of [541, 415, 45]-code) | [i] | ||
| 176 | Linear OA(8123, 541, F8, 43) (dual of [541, 418, 44]-code) | [i] | ||
| 177 | Linear OA(8120, 541, F8, 42) (dual of [541, 421, 43]-code) | [i] | ||
| 178 | Linear OA(8117, 541, F8, 41) (dual of [541, 424, 42]-code) | [i] | ||
| 179 | Linear OA(8111, 541, F8, 38) (dual of [541, 430, 39]-code) | [i] | ||
| 180 | Linear OA(8108, 541, F8, 37) (dual of [541, 433, 38]-code) | [i] | ||
| 181 | Linear OA(8105, 541, F8, 36) (dual of [541, 436, 37]-code) | [i] | ||
| 182 | Linear OA(8102, 541, F8, 35) (dual of [541, 439, 36]-code) | [i] | ||
| 183 | Linear OA(899, 541, F8, 34) (dual of [541, 442, 35]-code) | [i] | ||
| 184 | Linear OA(896, 541, F8, 33) (dual of [541, 445, 34]-code) | [i] | ||
| 185 | Linear OA(890, 541, F8, 30) (dual of [541, 451, 31]-code) | [i] | ||
| 186 | Linear OA(887, 541, F8, 29) (dual of [541, 454, 30]-code) | [i] | ||
| 187 | Linear OA(884, 541, F8, 28) (dual of [541, 457, 29]-code) | [i] | ||
| 188 | Linear OA(881, 541, F8, 27) (dual of [541, 460, 28]-code) | [i] | ||
| 189 | Linear OA(878, 541, F8, 26) (dual of [541, 463, 27]-code) | [i] | ||
| 190 | Linear OA(875, 541, F8, 25) (dual of [541, 466, 26]-code) | [i] | ||
| 191 | Linear OA(869, 541, F8, 22) (dual of [541, 472, 23]-code) | [i] | ||
| 192 | Linear OA(866, 541, F8, 21) (dual of [541, 475, 22]-code) | [i] | ||
| 193 | Linear OA(863, 541, F8, 20) (dual of [541, 478, 21]-code) | [i] | ||
| 194 | Linear OA(860, 541, F8, 19) (dual of [541, 481, 20]-code) | [i] | ||
| 195 | Linear OA(857, 541, F8, 18) (dual of [541, 484, 19]-code) | [i] | ||
| 196 | Linear OA(8159, 544, F8, 56) (dual of [544, 385, 57]-code) | [i] | ||
| 197 | Linear OA(8138, 544, F8, 48) (dual of [544, 406, 49]-code) | [i] | ||
| 198 | Linear OA(8117, 544, F8, 40) (dual of [544, 427, 41]-code) | [i] | ||
| 199 | Linear OA(896, 544, F8, 32) (dual of [544, 448, 33]-code) | [i] | ||
| 200 | Linear OA(875, 544, F8, 24) (dual of [544, 469, 25]-code) | [i] | ||