Information on Result #605162
Linear OA(82, 3, F8, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,8)), using dual of repetition code with length 3
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(872, 32780, F8, 14) (dual of [32780, 32708, 15]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(896, 2097164, F8, 14) (dual of [2097164, 2097068, 15]-code) | [i] | ||
| 3 | Linear OA(854, 32777, F8, 11) (dual of [32777, 32723, 12]-code) | [i] | ||
| 4 | Linear OA(872, 2097161, F8, 11) (dual of [2097161, 2097089, 12]-code) | [i] | ||
| 5 | Linear OA(861, 67, F8, 50) (dual of [67, 6, 51]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 6 | Linear OA(826, 517, F8, 8) (dual of [517, 491, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(840, 32773, F8, 8) (dual of [32773, 32733, 9]-code) | [i] | ||
| 8 | Linear OA(854, 2097157, F8, 8) (dual of [2097157, 2097103, 9]-code) | [i] | ||
| 9 | Linear OA(815, 516, F8, 5) (dual of [516, 501, 6]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(819, 4100, F8, 5) (dual of [4100, 4081, 6]-code) | [i] | ||
| 11 | Linear OA(823, 32772, F8, 5) (dual of [32772, 32749, 6]-code) | [i] | ||
| 12 | Linear OA(827, 262148, F8, 5) (dual of [262148, 262121, 6]-code) | [i] | ||
| 13 | Linear OA(831, 2097156, F8, 5) (dual of [2097156, 2097125, 6]-code) | [i] | ||
| 14 | Linear OA(815, 68, F8, 7) (dual of [68, 53, 8]-code) | [i] | ||
| 15 | Linear OA(821, 516, F8, 7) (dual of [516, 495, 8]-code) | [i] | ||
| 16 | Linear OA(827, 4100, F8, 7) (dual of [4100, 4073, 8]-code) | [i] | ||
| 17 | Linear OA(833, 32772, F8, 7) (dual of [32772, 32739, 8]-code) | [i] | ||
| 18 | Linear OA(839, 262148, F8, 7) (dual of [262148, 262109, 8]-code) | [i] | ||
| 19 | Linear OA(845, 2097156, F8, 7) (dual of [2097156, 2097111, 8]-code) | [i] | ||
| 20 | Linear OA(845, 76, F8, 23) (dual of [76, 31, 24]-code) | [i] | ||
| 21 | Linear OA(888, 136, F8, 24) (dual of [136, 48, 25]-code) | [i] | ||
| 22 | Linear OA(848, 76, F8, 27) (dual of [76, 28, 28]-code) | [i] | ||
| 23 | Linear OA(851, 76, F8, 28) (dual of [76, 25, 29]-code) | [i] | ||
| 24 | Linear OA(8100, 136, F8, 32) (dual of [136, 36, 33]-code) | [i] | ||
| 25 | Linear OA(880, 92, F8, 35) (dual of [92, 12, 36]-code) | [i] | ||
| 26 | Linear OA(8112, 136, F8, 40) (dual of [136, 24, 41]-code) | [i] | ||
| 27 | Linear OA(8126, 136, F8, 62) (dual of [136, 10, 63]-code) | [i] | ||
| 28 | Linear OA(8127, 138, F8, 62) (dual of [138, 11, 63]-code) | [i] | ||
| 29 | Linear OA(8129, 138, F8, 65) (dual of [138, 9, 66]-code) | [i] | ||
| 30 | Linear OA(8163, 192, F8, 68) (dual of [192, 29, 69]-code) | [i] | ||
| 31 | Linear OA(8133, 138, F8, 80) (dual of [138, 5, 81]-code) | [i] | ||
| 32 | Linear OA(8167, 192, F8, 83) (dual of [192, 25, 84]-code) | [i] | ||
| 33 | Linear OA(8168, 192, F8, 86) (dual of [192, 24, 87]-code) | [i] | ||
| 34 | Linear OA(8170, 192, F8, 89) (dual of [192, 22, 90]-code) | [i] | ||
| 35 | Linear OA(8172, 192, F8, 92) (dual of [192, 20, 93]-code) | [i] | ||
| 36 | Linear OA(8148, 154, F8, 96) (dual of [154, 6, 97]-code) | [i] | ||
| 37 | Linear OA(853, 90, F8, 27) (dual of [90, 37, 28]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 38 | Linear OA(842, 79, F8, 22) (dual of [79, 37, 23]-code) | [i] | ||
| 39 | Linear OA(838, 75, F8, 21) (dual of [75, 37, 22]-code) | [i] | ||
| 40 | Linear OA(865, 82, F8, 43) (dual of [82, 17, 44]-code) | [i] | Construction X with Varšamov Bound | |
| 41 | Linear OA(866, 83, F8, 44) (dual of [83, 17, 45]-code) | [i] | ||
| 42 | Linear OA(867, 84, F8, 45) (dual of [84, 17, 46]-code) | [i] | ||
| 43 | Linear OA(889, 100, F8, 64) (dual of [100, 11, 65]-code) | [i] | ||
| 44 | Linear OA(890, 101, F8, 65) (dual of [101, 11, 66]-code) | [i] | ||
| 45 | Linear OA(891, 102, F8, 66) (dual of [102, 11, 67]-code) | [i] | ||
| 46 | Linear OA(8155, 164, F8, 118) (dual of [164, 9, 119]-code) | [i] | ||
| 47 | Linear OA(8156, 165, F8, 119) (dual of [165, 9, 120]-code) | [i] | ||
| 48 | Linear OA(8160, 169, F8, 122) (dual of [169, 9, 123]-code) | [i] | ||
| 49 | Linear OA(8161, 170, F8, 123) (dual of [170, 9, 124]-code) | [i] | ||
| 50 | Linear OA(8162, 171, F8, 124) (dual of [171, 9, 125]-code) | [i] | ||
| 51 | Linear OA(8165, 174, F8, 126) (dual of [174, 9, 127]-code) | [i] | ||
| 52 | Linear OA(8166, 175, F8, 127) (dual of [175, 9, 128]-code) | [i] | ||
| 53 | Linear OA(8167, 176, F8, 128) (dual of [176, 9, 129]-code) | [i] | ||
| 54 | Linear OA(898, 112, F8, 69) (dual of [112, 14, 70]-code) | [i] | ||
| 55 | Linear OA(899, 113, F8, 70) (dual of [113, 14, 71]-code) | [i] | ||
| 56 | Linear OA(8100, 114, F8, 71) (dual of [114, 14, 72]-code) | [i] | ||
| 57 | Linear OA(8115, 128, F8, 83) (dual of [128, 13, 84]-code) | [i] | ||
| 58 | Linear OA(880, 99, F8, 53) (dual of [99, 19, 54]-code) | [i] | ||
| 59 | Linear OA(881, 100, F8, 54) (dual of [100, 19, 55]-code) | [i] | ||
| 60 | Linear OA(882, 101, F8, 55) (dual of [101, 19, 56]-code) | [i] | ||
| 61 | Linear OA(896, 117, F8, 64) (dual of [117, 21, 65]-code) | [i] | ||
| 62 | Linear OA(897, 118, F8, 65) (dual of [118, 21, 66]-code) | [i] | ||
| 63 | Linear OA(899, 120, F8, 66) (dual of [120, 21, 67]-code) | [i] | ||
| 64 | Linear OA(8100, 121, F8, 67) (dual of [121, 21, 68]-code) | [i] | ||
| 65 | Linear OA(8101, 122, F8, 68) (dual of [122, 21, 69]-code) | [i] | ||
| 66 | Linear OA(8105, 125, F8, 71) (dual of [125, 20, 72]-code) | [i] | ||
| 67 | Linear OA(8113, 131, F8, 78) (dual of [131, 18, 79]-code) | [i] | ||
| 68 | Linear OA(8118, 133, F8, 84) (dual of [133, 15, 85]-code) | [i] | ||
| 69 | Linear OA(8113, 132, F8, 78) (dual of [132, 19, 79]-code) | [i] | ||