Information on Result #701598
Linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using the cyclic code C(A) with length 40 | 92−1, defining set A = {0,1,2,3,4,5,31}, and minimum distance d ≥ |{−1,0,…,5}|+1 = 8 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9149, 6598, F9, 39) (dual of [6598, 6449, 40]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(9141, 6598, F9, 37) (dual of [6598, 6457, 38]-code) | [i] | ||
| 3 | Linear OA(9139, 766, F9, 47) (dual of [766, 627, 48]-code) | [i] | ||
| 4 | Linear OA(9133, 766, F9, 45) (dual of [766, 633, 46]-code) | [i] | ||
| 5 | Linear OA(9109, 766, F9, 35) (dual of [766, 657, 36]-code) | [i] | ||
| 6 | Linear OA(9103, 766, F9, 33) (dual of [766, 663, 34]-code) | [i] | ||
| 7 | Linear OA(997, 766, F9, 31) (dual of [766, 669, 32]-code) | [i] | ||
| 8 | Linear OA(991, 766, F9, 29) (dual of [766, 675, 30]-code) | [i] | ||
| 9 | Linear OA(985, 766, F9, 27) (dual of [766, 681, 28]-code) | [i] | ||
| 10 | Linear OA(914, 44, F9, 8) (dual of [44, 30, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(968, 766, F9, 21) (dual of [766, 698, 22]-code) | [i] | ||
| 12 | Linear OA(968, 768, F9, 21) (dual of [768, 700, 22]-code) | [i] | ||
| 13 | Linear OA(986, 775, F9, 26) (dual of [775, 689, 27]-code) | [i] | ||
| 14 | Linear OA(984, 770, F9, 26) (dual of [770, 686, 27]-code) | [i] | ||
| 15 | Linear OA(992, 784, F9, 27) (dual of [784, 692, 28]-code) | [i] | ||
| 16 | Linear OA(989, 775, F9, 27) (dual of [775, 686, 28]-code) | [i] | ||
| 17 | Linear OA(987, 770, F9, 27) (dual of [770, 683, 28]-code) | [i] | ||
| 18 | Linear OA(992, 786, F9, 27) (dual of [786, 694, 28]-code) | [i] | ||
| 19 | Linear OA(9100, 788, F9, 30) (dual of [788, 688, 31]-code) | [i] | ||
| 20 | Linear OA(992, 766, F9, 30) (dual of [766, 674, 31]-code) | [i] | ||
| 21 | Linear OA(992, 768, F9, 30) (dual of [768, 676, 31]-code) | [i] | ||
| 22 | Linear OA(993, 770, F9, 30) (dual of [770, 677, 31]-code) | [i] | ||
| 23 | Linear OA(9104, 789, F9, 31) (dual of [789, 685, 32]-code) | [i] | ||
| 24 | Linear OA(9103, 788, F9, 31) (dual of [788, 685, 32]-code) | [i] | ||
| 25 | Linear OA(997, 773, F9, 31) (dual of [773, 676, 32]-code) | [i] | ||
| 26 | Linear OA(998, 775, F9, 31) (dual of [775, 677, 32]-code) | [i] | ||
| 27 | Linear OA(9101, 777, F9, 32) (dual of [777, 676, 33]-code) | [i] | ||
| 28 | Linear OA(9109, 788, F9, 33) (dual of [788, 679, 34]-code) | [i] | ||
| 29 | Linear OA(9106, 782, F9, 33) (dual of [782, 676, 34]-code) | [i] | ||
| 30 | Linear OA(9107, 784, F9, 33) (dual of [784, 677, 34]-code) | [i] | ||
| 31 | Linear OA(9110, 786, F9, 34) (dual of [786, 676, 35]-code) | [i] | ||
| 32 | Linear OA(9112, 789, F9, 34) (dual of [789, 677, 35]-code) | [i] | ||
| 33 | Linear OA(9115, 789, F9, 35) (dual of [789, 674, 36]-code) | [i] | ||
| 34 | Linear OA(9113, 784, F9, 35) (dual of [784, 671, 36]-code) | [i] | ||
| 35 | Linear OA(9110, 775, F9, 35) (dual of [775, 665, 36]-code) | [i] | ||
| 36 | Linear OA(9108, 770, F9, 35) (dual of [770, 662, 36]-code) | [i] | ||
| 37 | Linear OA(9116, 792, F9, 35) (dual of [792, 676, 36]-code) | [i] | ||
| 38 | Linear OA(9113, 786, F9, 35) (dual of [786, 673, 36]-code) | [i] | ||
| 39 | Linear OA(9118, 789, F9, 36) (dual of [789, 671, 37]-code) | [i] | ||
| 40 | Linear OA(9116, 784, F9, 36) (dual of [784, 668, 37]-code) | [i] | ||
| 41 | Linear OA(9113, 775, F9, 36) (dual of [775, 662, 37]-code) | [i] | ||
| 42 | Linear OA(9111, 770, F9, 36) (dual of [770, 659, 37]-code) | [i] | ||
| 43 | Linear OA(9119, 792, F9, 36) (dual of [792, 673, 37]-code) | [i] | ||
| 44 | Linear OA(9116, 786, F9, 36) (dual of [786, 670, 37]-code) | [i] | ||
| 45 | Linear OA(9123, 789, F9, 38) (dual of [789, 666, 39]-code) | [i] | ||
| 46 | Linear OA(9121, 794, F9, 37) (dual of [794, 673, 38]-code) | [i] | ||
| 47 | Linear OA(9121, 794, F9, 37) (dual of [794, 673, 38]-code) | [i] | ||
| 48 | Linear OA(9120, 791, F9, 37) (dual of [791, 671, 38]-code) | [i] | ||
| 49 | Linear OA(9119, 789, F9, 37) (dual of [789, 670, 38]-code) | [i] | ||
| 50 | Linear OA(9118, 788, F9, 37) (dual of [788, 670, 38]-code) | [i] | ||
| 51 | Linear OA(9124, 794, F9, 38) (dual of [794, 670, 39]-code) | [i] | ||
| 52 | Linear OA(9124, 794, F9, 38) (dual of [794, 670, 39]-code) | [i] | ||
| 53 | Linear OA(9123, 791, F9, 38) (dual of [791, 668, 39]-code) | [i] | ||
| 54 | Linear OA(9122, 789, F9, 38) (dual of [789, 667, 39]-code) | [i] | ||
| 55 | Linear OA(9121, 788, F9, 38) (dual of [788, 667, 39]-code) | [i] | ||
| 56 | Linear OA(9129, 789, F9, 40) (dual of [789, 660, 41]-code) | [i] | ||
| 57 | Linear OA(9127, 794, F9, 39) (dual of [794, 667, 40]-code) | [i] | ||
| 58 | Linear OA(9127, 794, F9, 39) (dual of [794, 667, 40]-code) | [i] | ||
| 59 | Linear OA(9126, 791, F9, 39) (dual of [791, 665, 40]-code) | [i] | ||
| 60 | Linear OA(9125, 789, F9, 39) (dual of [789, 664, 40]-code) | [i] | ||
| 61 | Linear OA(9124, 788, F9, 39) (dual of [788, 664, 40]-code) | [i] | ||
| 62 | Linear OA(9116, 766, F9, 39) (dual of [766, 650, 40]-code) | [i] | ||
| 63 | Linear OA(9116, 768, F9, 39) (dual of [768, 652, 40]-code) | [i] | ||
| 64 | Linear OA(9117, 770, F9, 39) (dual of [770, 653, 40]-code) | [i] | ||
| 65 | Linear OA(9130, 794, F9, 40) (dual of [794, 664, 41]-code) | [i] | ||
| 66 | Linear OA(9130, 794, F9, 40) (dual of [794, 664, 41]-code) | [i] | ||
| 67 | Linear OA(9129, 791, F9, 40) (dual of [791, 662, 41]-code) | [i] | ||
| 68 | Linear OA(9128, 789, F9, 40) (dual of [789, 661, 41]-code) | [i] | ||
| 69 | Linear OA(9127, 788, F9, 40) (dual of [788, 661, 41]-code) | [i] | ||
| 70 | Linear OA(9121, 773, F9, 40) (dual of [773, 652, 41]-code) | [i] | ||
| 71 | Linear OA(9122, 775, F9, 40) (dual of [775, 653, 41]-code) | [i] | ||
| 72 | Linear OA(9133, 794, F9, 41) (dual of [794, 661, 42]-code) | [i] | ||
| 73 | Linear OA(9133, 794, F9, 41) (dual of [794, 661, 42]-code) | [i] | ||
| 74 | Linear OA(9132, 791, F9, 41) (dual of [791, 659, 42]-code) | [i] | ||
| 75 | Linear OA(9131, 789, F9, 41) (dual of [789, 658, 42]-code) | [i] | ||
| 76 | Linear OA(9130, 788, F9, 41) (dual of [788, 658, 42]-code) | [i] | ||
| 77 | Linear OA(9125, 777, F9, 41) (dual of [777, 652, 42]-code) | [i] | ||
| 78 | Linear OA(9136, 794, F9, 42) (dual of [794, 658, 43]-code) | [i] | ||
| 79 | Linear OA(9136, 794, F9, 42) (dual of [794, 658, 43]-code) | [i] | ||
| 80 | Linear OA(9133, 788, F9, 42) (dual of [788, 655, 43]-code) | [i] | ||
| 81 | Linear OA(9130, 782, F9, 42) (dual of [782, 652, 43]-code) | [i] | ||
| 82 | Linear OA(9131, 784, F9, 42) (dual of [784, 653, 43]-code) | [i] | ||
| 83 | Linear OA(9134, 786, F9, 43) (dual of [786, 652, 44]-code) | [i] | ||
| 84 | Linear OA(9136, 789, F9, 43) (dual of [789, 653, 44]-code) | [i] | ||
| 85 | Linear OA(9139, 789, F9, 44) (dual of [789, 650, 45]-code) | [i] | ||
| 86 | Linear OA(9137, 784, F9, 44) (dual of [784, 647, 45]-code) | [i] | ||
| 87 | Linear OA(9134, 775, F9, 44) (dual of [775, 641, 45]-code) | [i] | ||
| 88 | Linear OA(9132, 770, F9, 44) (dual of [770, 638, 45]-code) | [i] | ||
| 89 | Linear OA(9140, 792, F9, 44) (dual of [792, 652, 45]-code) | [i] | ||
| 90 | Linear OA(9137, 786, F9, 44) (dual of [786, 649, 45]-code) | [i] | ||
| 91 | Linear OA(9144, 789, F9, 46) (dual of [789, 645, 47]-code) | [i] | ||
| 92 | Linear OA(9142, 789, F9, 45) (dual of [789, 647, 46]-code) | [i] | ||
| 93 | Linear OA(9140, 784, F9, 45) (dual of [784, 644, 46]-code) | [i] | ||
| 94 | Linear OA(9137, 775, F9, 45) (dual of [775, 638, 46]-code) | [i] | ||
| 95 | Linear OA(9135, 770, F9, 45) (dual of [770, 635, 46]-code) | [i] | ||
| 96 | Linear OA(9143, 792, F9, 45) (dual of [792, 649, 46]-code) | [i] | ||
| 97 | Linear OA(9140, 786, F9, 45) (dual of [786, 646, 46]-code) | [i] | ||
| 98 | Linear OA(9147, 789, F9, 47) (dual of [789, 642, 48]-code) | [i] | ||
| 99 | Linear OA(9145, 794, F9, 46) (dual of [794, 649, 47]-code) | [i] | ||
| 100 | Linear OA(9145, 794, F9, 46) (dual of [794, 649, 47]-code) | [i] | ||
| 101 | Linear OA(9144, 791, F9, 46) (dual of [791, 647, 47]-code) | [i] | ||
| 102 | Linear OA(9143, 789, F9, 46) (dual of [789, 646, 47]-code) | [i] | ||
| 103 | Linear OA(9142, 788, F9, 46) (dual of [788, 646, 47]-code) | [i] | ||
| 104 | Linear OA(9150, 789, F9, 48) (dual of [789, 639, 49]-code) | [i] | ||
| 105 | Linear OA(9148, 794, F9, 47) (dual of [794, 646, 48]-code) | [i] | ||
| 106 | Linear OA(9148, 794, F9, 47) (dual of [794, 646, 48]-code) | [i] | ||
| 107 | Linear OA(9147, 791, F9, 47) (dual of [791, 644, 48]-code) | [i] | ||
| 108 | Linear OA(9146, 789, F9, 47) (dual of [789, 643, 48]-code) | [i] | ||
| 109 | Linear OA(9145, 788, F9, 47) (dual of [788, 643, 48]-code) | [i] | ||
| 110 | Linear OA(9150, 791, F9, 48) (dual of [791, 641, 49]-code) | [i] | ||
| 111 | Linear OA(9149, 789, F9, 48) (dual of [789, 640, 49]-code) | [i] | ||
| 112 | Linear OA(9148, 788, F9, 48) (dual of [788, 640, 49]-code) | [i] | ||
| 113 | Linear OA(9140, 766, F9, 48) (dual of [766, 626, 49]-code) | [i] | ||
| 114 | Linear OA(9140, 768, F9, 48) (dual of [768, 628, 49]-code) | [i] | ||
| 115 | Linear OA(9141, 770, F9, 48) (dual of [770, 629, 49]-code) | [i] | ||
| 116 | Linear OA(9145, 773, F9, 49) (dual of [773, 628, 50]-code) | [i] | ||
| 117 | Linear OA(9146, 775, F9, 49) (dual of [775, 629, 50]-code) | [i] | ||
| 118 | Linear OA(9149, 777, F9, 50) (dual of [777, 628, 51]-code) | [i] | ||
| 119 | Linear OA(9149, 6601, F9, 39) (dual of [6601, 6452, 40]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 120 | Linear OA(9145, 6601, F9, 38) (dual of [6601, 6456, 39]-code) | [i] | ||
| 121 | Linear OA(9141, 6601, F9, 37) (dual of [6601, 6460, 38]-code) | [i] | ||
| 122 | Linear OA(9133, 6601, F9, 34) (dual of [6601, 6468, 35]-code) | [i] | ||
| 123 | Linear OA(9129, 6601, F9, 33) (dual of [6601, 6472, 34]-code) | [i] | ||
| 124 | Linear OA(9125, 6601, F9, 32) (dual of [6601, 6476, 33]-code) | [i] | ||
| 125 | Linear OA(9121, 6601, F9, 31) (dual of [6601, 6480, 32]-code) | [i] | ||
| 126 | Linear OA(9117, 6601, F9, 30) (dual of [6601, 6484, 31]-code) | [i] | ||
| 127 | Linear OA(9113, 6601, F9, 29) (dual of [6601, 6488, 30]-code) | [i] | ||
| 128 | Linear OA(9109, 6601, F9, 28) (dual of [6601, 6492, 29]-code) | [i] | ||
| 129 | Linear OA(9139, 762, F9, 48) (dual of [762, 623, 49]-code) | [i] | ||
| 130 | Linear OA(9136, 762, F9, 47) (dual of [762, 626, 48]-code) | [i] | ||
| 131 | Linear OA(9133, 762, F9, 46) (dual of [762, 629, 47]-code) | [i] | ||
| 132 | Linear OA(9124, 762, F9, 42) (dual of [762, 638, 43]-code) | [i] | ||
| 133 | Linear OA(9121, 762, F9, 41) (dual of [762, 641, 42]-code) | [i] | ||
| 134 | Linear OA(9118, 762, F9, 40) (dual of [762, 644, 41]-code) | [i] | ||
| 135 | Linear OA(9115, 762, F9, 39) (dual of [762, 647, 40]-code) | [i] | ||
| 136 | Linear OA(9112, 762, F9, 38) (dual of [762, 650, 39]-code) | [i] | ||
| 137 | Linear OA(9109, 762, F9, 37) (dual of [762, 653, 38]-code) | [i] | ||
| 138 | Linear OA(9103, 762, F9, 34) (dual of [762, 659, 35]-code) | [i] | ||
| 139 | Linear OA(9100, 762, F9, 33) (dual of [762, 662, 34]-code) | [i] | ||
| 140 | Linear OA(997, 762, F9, 32) (dual of [762, 665, 33]-code) | [i] | ||
| 141 | Linear OA(994, 762, F9, 31) (dual of [762, 668, 32]-code) | [i] | ||
| 142 | Linear OA(991, 762, F9, 30) (dual of [762, 671, 31]-code) | [i] | ||
| 143 | Linear OA(988, 762, F9, 29) (dual of [762, 674, 30]-code) | [i] | ||
| 144 | Linear OA(985, 762, F9, 28) (dual of [762, 677, 29]-code) | [i] | ||
| 145 | Linear OA(976, 762, F9, 24) (dual of [762, 686, 25]-code) | [i] | ||
| 146 | Linear OA(973, 762, F9, 23) (dual of [762, 689, 24]-code) | [i] | ||
| 147 | Linear OA(970, 762, F9, 22) (dual of [762, 692, 23]-code) | [i] | ||
| 148 | Linear OA(967, 762, F9, 21) (dual of [762, 695, 22]-code) | [i] | ||
| 149 | Linear OA(964, 762, F9, 20) (dual of [762, 698, 21]-code) | [i] | ||
| 150 | Linear OA(961, 762, F9, 19) (dual of [762, 701, 20]-code) | [i] | ||
| 151 | Linear OA(955, 762, F9, 16) (dual of [762, 707, 17]-code) | [i] | ||
| 152 | Linear OA(9109, 765, F9, 36) (dual of [765, 656, 37]-code) | [i] | ||
| 153 | Linear OA(961, 765, F9, 18) (dual of [765, 704, 19]-code) | [i] | ||
| 154 | Linear OA(9137, 764, F9, 47) (dual of [764, 627, 48]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 155 | Linear OA(9134, 764, F9, 46) (dual of [764, 630, 47]-code) | [i] | ||
| 156 | Linear OA(9125, 764, F9, 42) (dual of [764, 639, 43]-code) | [i] | ||
| 157 | Linear OA(9122, 764, F9, 41) (dual of [764, 642, 42]-code) | [i] | ||
| 158 | Linear OA(9119, 764, F9, 40) (dual of [764, 645, 41]-code) | [i] | ||
| 159 | Linear OA(9116, 764, F9, 39) (dual of [764, 648, 40]-code) | [i] | ||
| 160 | Linear OA(9113, 764, F9, 38) (dual of [764, 651, 39]-code) | [i] | ||
| 161 | Linear OA(9110, 764, F9, 37) (dual of [764, 654, 38]-code) | [i] | ||
| 162 | Linear OA(9101, 764, F9, 33) (dual of [764, 663, 34]-code) | [i] | ||
| 163 | Linear OA(998, 764, F9, 32) (dual of [764, 666, 33]-code) | [i] | ||
| 164 | Linear OA(995, 764, F9, 31) (dual of [764, 669, 32]-code) | [i] | ||
| 165 | Linear OA(992, 764, F9, 30) (dual of [764, 672, 31]-code) | [i] | ||
| 166 | Linear OA(989, 764, F9, 29) (dual of [764, 675, 30]-code) | [i] | ||
| 167 | Linear OA(986, 764, F9, 28) (dual of [764, 678, 29]-code) | [i] | ||
| 168 | Linear OA(977, 764, F9, 24) (dual of [764, 687, 25]-code) | [i] | ||
| 169 | Linear OA(974, 764, F9, 23) (dual of [764, 690, 24]-code) | [i] | ||
| 170 | Linear OA(971, 764, F9, 22) (dual of [764, 693, 23]-code) | [i] | ||
| 171 | Linear OA(968, 764, F9, 21) (dual of [764, 696, 22]-code) | [i] | ||
| 172 | Linear OA(965, 764, F9, 20) (dual of [764, 699, 21]-code) | [i] | ||
| 173 | Linear OA(962, 764, F9, 19) (dual of [764, 702, 20]-code) | [i] | ||