Information on Result #714929
Linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(819, 527, F8, 6) (dual of [527, 508, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(874, 598, F8, 22) (dual of [598, 524, 23]-code) | [i] | ||
| 3 | Linear OA(877, 598, F8, 23) (dual of [598, 521, 24]-code) | [i] | ||
| 4 | Linear OA(881, 598, F8, 24) (dual of [598, 517, 25]-code) | [i] | ||
| 5 | Linear OA(8107, 598, F8, 32) (dual of [598, 491, 33]-code) | [i] | ||
| 6 | Linear OA(8116, 599, F8, 35) (dual of [599, 483, 36]-code) | [i] | ||
| 7 | Linear OA(8120, 599, F8, 36) (dual of [599, 479, 37]-code) | [i] | ||
| 8 | Linear OA(8119, 598, F8, 36) (dual of [598, 479, 37]-code) | [i] | ||
| 9 | Linear OA(8124, 599, F8, 37) (dual of [599, 475, 38]-code) | [i] | ||
| 10 | Linear OA(8124, 603, F8, 37) (dual of [603, 479, 38]-code) | [i] | ||
| 11 | Linear OA(8124, 603, F8, 37) (dual of [603, 479, 38]-code) | [i] | ||
| 12 | Linear OA(8123, 598, F8, 37) (dual of [598, 475, 38]-code) | [i] | ||
| 13 | Linear OA(8128, 603, F8, 38) (dual of [603, 475, 39]-code) | [i] | ||
| 14 | Linear OA(8128, 603, F8, 38) (dual of [603, 475, 39]-code) | [i] | ||
| 15 | Linear OA(8127, 598, F8, 38) (dual of [598, 471, 39]-code) | [i] | ||
| 16 | Linear OA(8132, 603, F8, 39) (dual of [603, 471, 40]-code) | [i] | ||
| 17 | Linear OA(8132, 603, F8, 39) (dual of [603, 471, 40]-code) | [i] | ||
| 18 | Linear OA(868, 832, F8, 20) (dual of [832, 764, 21]-code) | [i] | ||
| 19 | Linear OA(872, 832, F8, 21) (dual of [832, 760, 22]-code) | [i] | ||
| 20 | Linear OA(876, 832, F8, 22) (dual of [832, 756, 23]-code) | [i] | ||
| 21 | Linear OA(880, 832, F8, 23) (dual of [832, 752, 24]-code) | [i] | ||
| 22 | Linear OA(899, 835, F8, 29) (dual of [835, 736, 30]-code) | [i] | ||
| 23 | Linear OA(898, 830, F8, 29) (dual of [830, 732, 30]-code) | [i] | ||
| 24 | Linear OA(8104, 837, F8, 30) (dual of [837, 733, 31]-code) | [i] | ||
| 25 | Linear OA(8103, 835, F8, 30) (dual of [835, 732, 31]-code) | [i] | ||
| 26 | Linear OA(8102, 832, F8, 30) (dual of [832, 730, 31]-code) | [i] | ||
| 27 | Linear OA(8107, 837, F8, 31) (dual of [837, 730, 32]-code) | [i] | ||
| 28 | Linear OA(8107, 837, F8, 31) (dual of [837, 730, 32]-code) | [i] | ||
| 29 | Linear OA(8106, 832, F8, 31) (dual of [832, 726, 32]-code) | [i] | ||
| 30 | Linear OA(8111, 837, F8, 32) (dual of [837, 726, 33]-code) | [i] | ||
| 31 | Linear OA(8111, 837, F8, 32) (dual of [837, 726, 33]-code) | [i] | ||
| 32 | Linear OA(8110, 832, F8, 32) (dual of [832, 722, 33]-code) | [i] | ||
| 33 | Linear OA(8120, 837, F8, 35) (dual of [837, 717, 36]-code) | [i] | ||
| 34 | Linear OA(8119, 833, F8, 35) (dual of [833, 714, 36]-code) | [i] | ||
| 35 | Linear OA(8124, 837, F8, 36) (dual of [837, 713, 37]-code) | [i] | ||
| 36 | Linear OA(8122, 832, F8, 36) (dual of [832, 710, 37]-code) | [i] | ||
| 37 | Linear OA(8123, 834, F8, 36) (dual of [834, 711, 37]-code) | [i] | ||
| 38 | Linear OA(8127, 837, F8, 37) (dual of [837, 710, 38]-code) | [i] | ||
| 39 | Linear OA(8127, 837, F8, 37) (dual of [837, 710, 38]-code) | [i] | ||
| 40 | Linear OA(8126, 832, F8, 37) (dual of [832, 706, 38]-code) | [i] | ||
| 41 | Linear OA(8131, 837, F8, 38) (dual of [837, 706, 39]-code) | [i] | ||
| 42 | Linear OA(8131, 837, F8, 38) (dual of [837, 706, 39]-code) | [i] | ||
| 43 | Linear OA(8130, 832, F8, 38) (dual of [832, 702, 39]-code) | [i] | ||
| 44 | Linear OA(8172, 4109, F8, 47) (dual of [4109, 3937, 48]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 45 | Linear OA(8164, 4109, F8, 45) (dual of [4109, 3945, 46]-code) | [i] | ||
| 46 | Linear OA(8156, 4109, F8, 43) (dual of [4109, 3953, 44]-code) | [i] | ||
| 47 | Linear OA(8148, 4109, F8, 41) (dual of [4109, 3961, 42]-code) | [i] | ||
| 48 | Linear OA(8140, 4109, F8, 39) (dual of [4109, 3969, 40]-code) | [i] | ||
| 49 | Linear OA(8132, 4109, F8, 37) (dual of [4109, 3977, 38]-code) | [i] | ||
| 50 | Linear OA(8127, 4113, F8, 35) (dual of [4113, 3986, 36]-code) | [i] | ||
| 51 | Linear OA(8126, 4111, F8, 35) (dual of [4111, 3985, 36]-code) | [i] | ||
| 52 | Linear OA(8116, 4109, F8, 31) (dual of [4109, 3993, 32]-code) | [i] | ||
| 53 | Linear OA(8108, 4109, F8, 29) (dual of [4109, 4001, 30]-code) | [i] | ||
| 54 | Linear OA(8100, 4109, F8, 27) (dual of [4109, 4009, 28]-code) | [i] | ||
| 55 | Linear OA(892, 4109, F8, 25) (dual of [4109, 4017, 26]-code) | [i] | ||
| 56 | Linear OA(884, 4109, F8, 23) (dual of [4109, 4025, 24]-code) | [i] | ||
| 57 | Linear OA(876, 4109, F8, 21) (dual of [4109, 4033, 22]-code) | [i] | ||
| 58 | Linear OA(871, 4113, F8, 19) (dual of [4113, 4042, 20]-code) | [i] | ||
| 59 | Linear OA(870, 4111, F8, 19) (dual of [4111, 4041, 20]-code) | [i] | ||
| 60 | Linear OA(8100, 2097169, F8, 15) (dual of [2097169, 2097069, 16]-code) | [i] | Construction X4 with Cyclic Codes | |
| 61 | Linear OA(844, 2097169, F8, 7) (dual of [2097169, 2097125, 8]-code) | [i] | ||
| 62 | Linear OA(830, 2097169, F8, 5) (dual of [2097169, 2097139, 6]-code) | [i] | ||
| 63 | Linear OA(8156, 2097183, F8, 23) (dual of [2097183, 2097027, 24]-code) | [i] | ||
| 64 | Linear OA(8142, 2097183, F8, 21) (dual of [2097183, 2097041, 22]-code) | [i] | ||
| 65 | Linear OA(850, 2097160, F8, 8) (dual of [2097160, 2097110, 9]-code) | [i] | ||
| 66 | Linear OA(832, 32781, F8, 7) (dual of [32781, 32749, 8]-code) | [i] | ||
| 67 | Linear OA(8102, 32791, F8, 21) (dual of [32791, 32689, 22]-code) | [i] | ||
| 68 | Linear OA(892, 32791, F8, 19) (dual of [32791, 32699, 20]-code) | [i] | ||
| 69 | Linear OA(8171, 2097169, F8, 28) (dual of [2097169, 2096998, 29]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 70 | Linear OA(8165, 2097170, F8, 27) (dual of [2097170, 2097005, 28]-code) | [i] | ||
| 71 | Linear OA(8150, 2097162, F8, 25) (dual of [2097162, 2097012, 26]-code) | [i] | ||
| 72 | Linear OA(8150, 2097169, F8, 24) (dual of [2097169, 2097019, 25]-code) | [i] | ||
| 73 | Linear OA(8136, 2097169, F8, 22) (dual of [2097169, 2097033, 23]-code) | [i] | ||
| 74 | Linear OA(8122, 2097169, F8, 20) (dual of [2097169, 2097047, 21]-code) | [i] | ||
| 75 | Linear OA(8101, 2097162, F8, 17) (dual of [2097162, 2097061, 18]-code) | [i] | ||
| 76 | Linear OA(8101, 2097169, F8, 16) (dual of [2097169, 2097068, 17]-code) | [i] | ||
| 77 | Linear OA(852, 2097162, F8, 9) (dual of [2097162, 2097110, 10]-code) | [i] | ||
| 78 | Linear OA(8171, 262159, F8, 32) (dual of [262159, 261988, 33]-code) | [i] | ||
| 79 | Linear OA(8165, 262159, F8, 31) (dual of [262159, 261994, 32]-code) | [i] | ||
| 80 | Linear OA(8159, 262159, F8, 30) (dual of [262159, 262000, 31]-code) | [i] | ||
| 81 | Linear OA(8153, 262159, F8, 29) (dual of [262159, 262006, 30]-code) | [i] | ||
| 82 | Linear OA(8147, 262159, F8, 28) (dual of [262159, 262012, 29]-code) | [i] | ||
| 83 | Linear OA(8142, 262160, F8, 27) (dual of [262160, 262018, 28]-code) | [i] | ||
| 84 | Linear OA(8129, 262159, F8, 24) (dual of [262159, 262030, 25]-code) | [i] | ||
| 85 | Linear OA(8117, 262159, F8, 22) (dual of [262159, 262042, 23]-code) | [i] | ||
| 86 | Linear OA(8105, 262159, F8, 20) (dual of [262159, 262054, 21]-code) | [i] | ||
| 87 | Linear OA(887, 262159, F8, 16) (dual of [262159, 262072, 17]-code) | [i] | ||
| 88 | Linear OA(881, 262159, F8, 15) (dual of [262159, 262078, 16]-code) | [i] | ||
| 89 | Linear OA(875, 262159, F8, 14) (dual of [262159, 262084, 15]-code) | [i] | ||
| 90 | Linear OA(8168, 32781, F8, 38) (dual of [32781, 32613, 39]-code) | [i] | ||
| 91 | Linear OA(8158, 32781, F8, 36) (dual of [32781, 32623, 37]-code) | [i] | ||
| 92 | Linear OA(8143, 32781, F8, 32) (dual of [32781, 32638, 33]-code) | [i] | ||
| 93 | Linear OA(8138, 32781, F8, 31) (dual of [32781, 32643, 32]-code) | [i] | ||
| 94 | Linear OA(8133, 32781, F8, 30) (dual of [32781, 32648, 31]-code) | [i] | ||
| 95 | Linear OA(8128, 32781, F8, 29) (dual of [32781, 32653, 30]-code) | [i] | ||
| 96 | Linear OA(8123, 32781, F8, 28) (dual of [32781, 32658, 29]-code) | [i] | ||
| 97 | Linear OA(8119, 32782, F8, 27) (dual of [32782, 32663, 28]-code) | [i] | ||
| 98 | Linear OA(8108, 32781, F8, 24) (dual of [32781, 32673, 25]-code) | [i] | ||
| 99 | Linear OA(898, 32781, F8, 22) (dual of [32781, 32683, 23]-code) | [i] | ||
| 100 | Linear OA(888, 32781, F8, 20) (dual of [32781, 32693, 21]-code) | [i] | ||
| 101 | Linear OA(873, 32781, F8, 16) (dual of [32781, 32708, 17]-code) | [i] | ||
| 102 | Linear OA(868, 32781, F8, 15) (dual of [32781, 32713, 16]-code) | [i] | ||
| 103 | Linear OA(863, 32781, F8, 14) (dual of [32781, 32718, 15]-code) | [i] | ||
| 104 | Linear OA(858, 32781, F8, 13) (dual of [32781, 32723, 14]-code) | [i] | ||
| 105 | Linear OA(853, 32781, F8, 12) (dual of [32781, 32728, 13]-code) | [i] | ||
| 106 | Linear OA(8171, 4107, F8, 48) (dual of [4107, 3936, 49]-code) | [i] | ||
| 107 | Linear OA(8167, 4107, F8, 47) (dual of [4107, 3940, 48]-code) | [i] | ||
| 108 | Linear OA(8163, 4107, F8, 46) (dual of [4107, 3944, 47]-code) | [i] | ||
| 109 | Linear OA(8159, 4107, F8, 45) (dual of [4107, 3948, 46]-code) | [i] | ||
| 110 | Linear OA(8155, 4107, F8, 44) (dual of [4107, 3952, 45]-code) | [i] | ||
| 111 | Linear OA(8152, 4108, F8, 43) (dual of [4108, 3956, 44]-code) | [i] | ||
| 112 | Linear OA(8143, 4107, F8, 40) (dual of [4107, 3964, 41]-code) | [i] | ||
| 113 | Linear OA(8135, 4107, F8, 38) (dual of [4107, 3972, 39]-code) | [i] | ||
| 114 | Linear OA(8127, 4107, F8, 36) (dual of [4107, 3980, 37]-code) | [i] | ||
| 115 | Linear OA(8115, 4107, F8, 32) (dual of [4107, 3992, 33]-code) | [i] | ||
| 116 | Linear OA(8111, 4107, F8, 31) (dual of [4107, 3996, 32]-code) | [i] | ||
| 117 | Linear OA(8107, 4107, F8, 30) (dual of [4107, 4000, 31]-code) | [i] | ||
| 118 | Linear OA(8103, 4107, F8, 29) (dual of [4107, 4004, 30]-code) | [i] | ||
| 119 | Linear OA(899, 4107, F8, 28) (dual of [4107, 4008, 29]-code) | [i] | ||
| 120 | Linear OA(896, 4108, F8, 27) (dual of [4108, 4012, 28]-code) | [i] | ||
| 121 | Linear OA(887, 4107, F8, 24) (dual of [4107, 4020, 25]-code) | [i] | ||
| 122 | Linear OA(879, 4107, F8, 22) (dual of [4107, 4028, 23]-code) | [i] | ||
| 123 | Linear OA(871, 4107, F8, 20) (dual of [4107, 4036, 21]-code) | [i] | ||
| 124 | Linear OA(859, 4107, F8, 16) (dual of [4107, 4048, 17]-code) | [i] | ||
| 125 | Linear OA(855, 4107, F8, 15) (dual of [4107, 4052, 16]-code) | [i] | ||
| 126 | Linear OA(851, 4107, F8, 14) (dual of [4107, 4056, 15]-code) | [i] | ||
| 127 | Linear OA(847, 4107, F8, 13) (dual of [4107, 4060, 14]-code) | [i] | ||
| 128 | Linear OA(843, 4107, F8, 12) (dual of [4107, 4064, 13]-code) | [i] | ||
| 129 | Linear OA(840, 4108, F8, 11) (dual of [4108, 4068, 12]-code) | [i] | ||
| 130 | Linear OA(8167, 1377, F8, 48) (dual of [1377, 1210, 49]-code) | [i] | ||
| 131 | Linear OA(8163, 1377, F8, 47) (dual of [1377, 1214, 48]-code) | [i] | ||
| 132 | Linear OA(8160, 1378, F8, 46) (dual of [1378, 1218, 47]-code) | [i] | ||
| 133 | Linear OA(8131, 831, F8, 38) (dual of [831, 700, 39]-code) | [i] | ||
| 134 | Linear OA(8127, 831, F8, 37) (dual of [831, 704, 38]-code) | [i] | ||
| 135 | Linear OA(8123, 831, F8, 36) (dual of [831, 708, 37]-code) | [i] | ||
| 136 | Linear OA(8120, 832, F8, 35) (dual of [832, 712, 36]-code) | [i] | ||
| 137 | Linear OA(8111, 831, F8, 32) (dual of [831, 720, 33]-code) | [i] | ||
| 138 | Linear OA(8107, 831, F8, 31) (dual of [831, 724, 32]-code) | [i] | ||
| 139 | Linear OA(8103, 831, F8, 30) (dual of [831, 728, 31]-code) | [i] | ||
| 140 | Linear OA(899, 831, F8, 29) (dual of [831, 732, 30]-code) | [i] | ||
| 141 | Linear OA(837, 2097161, F8, 6) (dual of [2097161, 2097124, 7]-code) | [i] | Construction X4 with Extended Narrow-Sense BCH Codes | |
| 142 | Linear OA(823, 2097161, F8, 4) (dual of [2097161, 2097138, 5]-code) | [i] | ||
| 143 | Linear OA(893, 2097168, F8, 15) (dual of [2097168, 2097075, 16]-code) | [i] | ||
| 144 | Linear OA(886, 2097168, F8, 14) (dual of [2097168, 2097082, 15]-code) | [i] | ||
| 145 | Linear OA(879, 2097168, F8, 13) (dual of [2097168, 2097089, 14]-code) | [i] | ||
| 146 | Linear OA(872, 2097168, F8, 12) (dual of [2097168, 2097096, 13]-code) | [i] | ||
| 147 | Linear OA(865, 2097168, F8, 11) (dual of [2097168, 2097103, 12]-code) | [i] | ||
| 148 | Linear OA(851, 2097168, F8, 8) (dual of [2097168, 2097117, 9]-code) | [i] | ||
| 149 | Linear OA(837, 2097168, F8, 6) (dual of [2097168, 2097131, 7]-code) | [i] | ||
| 150 | Linear OA(823, 2097168, F8, 4) (dual of [2097168, 2097145, 5]-code) | [i] | ||
| 151 | Linear OA(8142, 2097175, F8, 22) (dual of [2097175, 2097033, 23]-code) | [i] | ||
| 152 | Linear OA(8128, 2097175, F8, 20) (dual of [2097175, 2097047, 21]-code) | [i] | ||
| 153 | Linear OA(868, 262158, F8, 13) (dual of [262158, 262090, 14]-code) | [i] | ||
| 154 | Linear OA(862, 262158, F8, 12) (dual of [262158, 262096, 13]-code) | [i] | ||
| 155 | Linear OA(856, 262158, F8, 11) (dual of [262158, 262102, 12]-code) | [i] | ||
| 156 | Linear OA(847, 32780, F8, 11) (dual of [32780, 32733, 12]-code) | [i] | ||
| 157 | Linear OA(837, 32780, F8, 8) (dual of [32780, 32743, 9]-code) | [i] | ||
| 158 | Linear OA(827, 32780, F8, 6) (dual of [32780, 32753, 7]-code) | [i] | ||
| 159 | Linear OA(817, 32780, F8, 4) (dual of [32780, 32763, 5]-code) | [i] | ||
| 160 | Linear OA(872, 32785, F8, 15) (dual of [32785, 32713, 16]-code) | [i] | ||
| 161 | Linear OA(867, 32785, F8, 14) (dual of [32785, 32718, 15]-code) | [i] | ||
| 162 | Linear OA(862, 32785, F8, 13) (dual of [32785, 32723, 14]-code) | [i] | ||
| 163 | Linear OA(857, 32785, F8, 12) (dual of [32785, 32728, 13]-code) | [i] | ||