Information on Result #606805
Linear OA(84, 9, F8, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,8)), using extended Reed–Solomon code RSe(5,8)
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(826, 521, F8, 9) (dual of [521, 495, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(833, 4105, F8, 9) (dual of [4105, 4072, 10]-code) | [i] | ||
| 3 | Linear OA(840, 32777, F8, 9) (dual of [32777, 32737, 10]-code) | [i] | ||
| 4 | Linear OA(847, 262153, F8, 9) (dual of [262153, 262106, 10]-code) | [i] | ||
| 5 | Linear OA(854, 2097161, F8, 9) (dual of [2097161, 2097107, 10]-code) | [i] | ||
| 6 | Linear OA(834, 8201, F8, 8) (dual of [8201, 8167, 9]-code) | [i] | ||
| 7 | Linear OA(848, 524297, F8, 8) (dual of [524297, 524249, 9]-code) | [i] | ||
| 8 | Linear OA(886, 91, F8, 68) (dual of [91, 5, 69]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(8132, 137, F8, 106) (dual of [137, 5, 107]-code) | [i] | ||
| 10 | Linear OA(8130, 135, F8, 108) (dual of [135, 5, 109]-code) | [i] | ||
| 11 | Linear OA(8148, 153, F8, 120) (dual of [153, 5, 121]-code) | [i] | ||
| 12 | Linear OA(8134, 139, F8, 112) (dual of [139, 5, 113]-code) | [i] | ||
| 13 | Linear OOA(239, 27, F2, 2, 19) (dual of [(27, 2), 15, 20]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 14 | Linear OOA(266, 27, F2, 3, 34) (dual of [(27, 3), 15, 35]-NRT-code) | [i] | ||
| 15 | Linear OA(860, 73, F8, 42) (dual of [73, 13, 43]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 16 | Linear OA(859, 73, F8, 41) (dual of [73, 14, 42]-code) | [i] | ||
| 17 | Linear OA(858, 73, F8, 40) (dual of [73, 15, 41]-code) | [i] | ||
| 18 | Linear OA(857, 73, F8, 39) (dual of [73, 16, 40]-code) | [i] | ||
| 19 | Linear OA(856, 73, F8, 38) (dual of [73, 17, 39]-code) | [i] | ||
| 20 | Linear OA(855, 73, F8, 37) (dual of [73, 18, 38]-code) | [i] | ||
| 21 | Linear OA(853, 73, F8, 35) (dual of [73, 20, 36]-code) | [i] | ||
| 22 | Linear OA(852, 73, F8, 34) (dual of [73, 21, 35]-code) | [i] | ||
| 23 | Linear OA(851, 73, F8, 33) (dual of [73, 22, 34]-code) | [i] | ||
| 24 | Linear OA(850, 73, F8, 32) (dual of [73, 23, 33]-code) | [i] | ||
| 25 | Linear OA(849, 73, F8, 31) (dual of [73, 24, 32]-code) | [i] | ||
| 26 | Linear OA(848, 73, F8, 30) (dual of [73, 25, 31]-code) | [i] | ||
| 27 | Linear OA(847, 73, F8, 29) (dual of [73, 26, 30]-code) | [i] | ||
| 28 | Linear OA(846, 73, F8, 28) (dual of [73, 27, 29]-code) | [i] | ||
| 29 | Linear OA(845, 73, F8, 27) (dual of [73, 28, 28]-code) | [i] | ||
| 30 | Linear OA(844, 73, F8, 26) (dual of [73, 29, 27]-code) | [i] | ||
| 31 | Linear OA(843, 73, F8, 25) (dual of [73, 30, 26]-code) | [i] | ||
| 32 | Linear OA(842, 73, F8, 24) (dual of [73, 31, 25]-code) | [i] | ||
| 33 | Linear OA(841, 73, F8, 23) (dual of [73, 32, 24]-code) | [i] | ||
| 34 | Linear OA(840, 73, F8, 22) (dual of [73, 33, 23]-code) | [i] | ||
| 35 | Linear OA(839, 73, F8, 21) (dual of [73, 34, 22]-code) | [i] | ||
| 36 | Linear OA(838, 73, F8, 20) (dual of [73, 35, 21]-code) | [i] | ||
| 37 | Linear OA(862, 73, F8, 46) (dual of [73, 11, 47]-code) | [i] | ||
| 38 | Linear OA(860, 73, F8, 43) (dual of [73, 13, 44]-code) | [i] | ||
| 39 | Linear OA(859, 73, F8, 42) (dual of [73, 14, 43]-code) | [i] | ||
| 40 | Linear OA(874, 82, F8, 55) (dual of [82, 8, 56]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 41 | Linear OA(858, 74, F8, 40) (dual of [74, 16, 41]-code) | [i] | ||
| 42 | Linear OA(857, 74, F8, 39) (dual of [74, 17, 40]-code) | [i] | ||
| 43 | Linear OA(856, 74, F8, 38) (dual of [74, 18, 39]-code) | [i] | ||
| 44 | Linear OA(855, 74, F8, 37) (dual of [74, 19, 38]-code) | [i] | ||
| 45 | Linear OA(872, 32787, F8, 14) (dual of [32787, 32715, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 46 | Linear OA(896, 2097171, F8, 14) (dual of [2097171, 2097075, 15]-code) | [i] | ||
| 47 | Linear OA(866, 32786, F8, 13) (dual of [32786, 32720, 14]-code) | [i] | ||
| 48 | Linear OA(888, 2097170, F8, 13) (dual of [2097170, 2097082, 14]-code) | [i] | ||
| 49 | Linear OA(841, 32785, F8, 8) (dual of [32785, 32744, 9]-code) | [i] | ||
| 50 | Linear OA(855, 2097169, F8, 8) (dual of [2097169, 2097114, 9]-code) | [i] | ||
| 51 | Linear OA(836, 76, F8, 20) (dual of [76, 40, 21]-code) | [i] | Construction XX with Cyclic Codes | |
| 52 | Linear OA(835, 74, F8, 20) (dual of [74, 39, 21]-code) | [i] | ||
| 53 | Linear OA(838, 76, F8, 21) (dual of [76, 38, 22]-code) | [i] | ||
| 54 | Linear OA(837, 74, F8, 21) (dual of [74, 37, 22]-code) | [i] | ||
| 55 | Linear OA(839, 79, F8, 21) (dual of [79, 40, 22]-code) | [i] | ||
| 56 | Linear OA(838, 77, F8, 21) (dual of [77, 39, 22]-code) | [i] | ||
| 57 | Linear OA(841, 79, F8, 22) (dual of [79, 38, 23]-code) | [i] | ||
| 58 | Linear OA(840, 77, F8, 22) (dual of [77, 37, 23]-code) | [i] | ||
| 59 | Linear OA(842, 82, F8, 22) (dual of [82, 40, 23]-code) | [i] | ||
| 60 | Linear OA(841, 80, F8, 22) (dual of [80, 39, 23]-code) | [i] | ||
| 61 | Linear OA(844, 82, F8, 23) (dual of [82, 38, 24]-code) | [i] | ||
| 62 | Linear OA(843, 80, F8, 23) (dual of [80, 37, 24]-code) | [i] | ||
| 63 | Linear OA(872, 86, F8, 49) (dual of [86, 14, 50]-code) | [i] | ||
| 64 | Linear OA(877, 86, F8, 58) (dual of [86, 9, 59]-code) | [i] | ||
| 65 | Linear OA(8132, 598, F8, 39) (dual of [598, 466, 40]-code) | [i] | ||
| 66 | Linear OA(835, 76, F8, 18) (dual of [76, 41, 19]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 67 | Linear OA(8173, 521, F8, 67) (dual of [521, 348, 68]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 68 | Linear OA(864, 73, F8, 50) (dual of [73, 9, 51]-code) | [i] | ||
| 69 | Linear OA(843, 73, F8, 26) (dual of [73, 30, 27]-code) | [i] | ||
| 70 | Linear OA(835, 73, F8, 20) (dual of [73, 38, 21]-code) | [i] | ||
| 71 | Linear OA(833, 73, F8, 19) (dual of [73, 40, 20]-code) | [i] | ||
| 72 | Linear OA(832, 73, F8, 18) (dual of [73, 41, 19]-code) | [i] | ||
| 73 | Linear OA(865, 74, F8, 51) (dual of [74, 9, 52]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 74 | Linear OA(860, 74, F8, 43) (dual of [74, 14, 44]-code) | [i] | ||
| 75 | Linear OA(853, 74, F8, 35) (dual of [74, 21, 36]-code) | [i] | ||
| 76 | Linear OA(844, 74, F8, 27) (dual of [74, 30, 28]-code) | [i] | ||