Information on Result #606806
Linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using extended Reed–Solomon code RSe(4,8)
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(833, 521, F8, 11) (dual of [521, 488, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(851, 32777, F8, 11) (dual of [32777, 32726, 12]-code) | [i] | ||
| 3 | Linear OA(860, 262153, F8, 11) (dual of [262153, 262093, 12]-code) | [i] | ||
| 4 | Linear OA(869, 2097161, F8, 11) (dual of [2097161, 2097092, 12]-code) | [i] | ||
| 5 | Linear OA(830, 521, F8, 10) (dual of [521, 491, 11]-code) | [i] | ||
| 6 | Linear OA(846, 32777, F8, 10) (dual of [32777, 32731, 11]-code) | [i] | ||
| 7 | Linear OA(854, 262153, F8, 10) (dual of [262153, 262099, 11]-code) | [i] | ||
| 8 | Linear OA(862, 2097161, F8, 10) (dual of [2097161, 2097099, 11]-code) | [i] | ||
| 9 | Linear OA(870, 74, F8, 61) (dual of [74, 4, 62]-code) | [i] | Juxtaposition | |
| 10 | Linear OA(878, 82, F8, 66) (dual of [82, 4, 67]-code) | [i] | ||
| 11 | Linear OA(879, 83, F8, 67) (dual of [83, 4, 68]-code) | [i] | ||
| 12 | Linear OA(8135, 139, F8, 117) (dual of [139, 4, 118]-code) | [i] | ||
| 13 | Linear OA(8143, 147, F8, 122) (dual of [147, 4, 123]-code) | [i] | ||
| 14 | Linear OA(8144, 148, F8, 123) (dual of [148, 4, 124]-code) | [i] | ||
| 15 | Linear OA(880, 84, F8, 69) (dual of [84, 4, 70]-code) | [i] | ||
| 16 | Linear OA(8155, 159, F8, 133) (dual of [159, 4, 134]-code) | [i] | ||
| 17 | Linear OOA(242, 27, F2, 2, 23) (dual of [(27, 2), 12, 24]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(269, 27, F2, 3, 41) (dual of [(27, 3), 12, 42]-NRT-code) | [i] | ||
| 19 | Linear OA(827, 32, F8, 21) (dual of [32, 5, 22]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 20 | Linear OA(868, 73, F8, 56) (dual of [73, 5, 57]-code) | [i] | ||
| 21 | Linear OA(864, 73, F8, 48) (dual of [73, 9, 49]-code) | [i] | ||
| 22 | Linear OA(863, 73, F8, 47) (dual of [73, 10, 48]-code) | [i] | ||
| 23 | Linear OA(858, 73, F8, 41) (dual of [73, 15, 42]-code) | [i] | ||
| 24 | Linear OA(828, 33, F8, 22) (dual of [33, 5, 23]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 25 | Linear OA(830, 35, F8, 23) (dual of [35, 5, 24]-code) | [i] | ||
| 26 | Linear OA(874, 79, F8, 61) (dual of [79, 5, 62]-code) | [i] | ||
| 27 | Linear OA(869, 74, F8, 57) (dual of [74, 5, 58]-code) | [i] | ||
| 28 | Linear OA(867, 75, F8, 51) (dual of [75, 8, 52]-code) | [i] | ||
| 29 | Linear OA(881, 96, F8, 51) (dual of [96, 15, 52]-code) | [i] | ||
| 30 | Linear OA(865, 74, F8, 49) (dual of [74, 9, 50]-code) | [i] | ||
| 31 | Linear OA(884, 32787, F8, 17) (dual of [32787, 32703, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 32 | Linear OA(8112, 2097171, F8, 17) (dual of [2097171, 2097059, 18]-code) | [i] | ||
| 33 | Linear OA(878, 32787, F8, 15) (dual of [32787, 32709, 16]-code) | [i] | ||
| 34 | Linear OA(8104, 2097171, F8, 15) (dual of [2097171, 2097067, 16]-code) | [i] | ||
| 35 | Linear OA(854, 32786, F8, 11) (dual of [32786, 32732, 12]-code) | [i] | ||
| 36 | Linear OA(872, 2097170, F8, 11) (dual of [2097170, 2097098, 12]-code) | [i] | ||
| 37 | Linear OA(834, 74, F8, 19) (dual of [74, 40, 20]-code) | [i] | Construction X with Cyclic Codes | |
| 38 | Linear OA(875, 82, F8, 60) (dual of [82, 7, 61]-code) | [i] | ||
| 39 | Linear OA(848, 76, F8, 29) (dual of [76, 28, 30]-code) | [i] | Construction XX with Cyclic Codes | |
| 40 | Linear OA(847, 74, F8, 29) (dual of [74, 27, 30]-code) | [i] | ||
| 41 | Linear OA(850, 77, F8, 30) (dual of [77, 27, 31]-code) | [i] | ||
| 42 | Linear OA(853, 80, F8, 31) (dual of [80, 27, 32]-code) | [i] | ||
| 43 | Linear OA(863, 92, F8, 35) (dual of [92, 29, 36]-code) | [i] | ||
| 44 | Linear OA(860, 89, F8, 33) (dual of [89, 29, 34]-code) | [i] | ||
| 45 | Linear OA(861, 89, F8, 34) (dual of [89, 28, 35]-code) | [i] | ||
| 46 | Linear OA(862, 89, F8, 35) (dual of [89, 27, 36]-code) | [i] | ||
| 47 | Linear OA(865, 94, F8, 36) (dual of [94, 29, 37]-code) | [i] | ||
| 48 | Linear OA(861, 89, F8, 35) (dual of [89, 28, 36]-code) | [i] | ||
| 49 | Linear OA(858, 86, F8, 33) (dual of [86, 28, 34]-code) | [i] | ||
| 50 | Linear OA(859, 86, F8, 34) (dual of [86, 27, 35]-code) | [i] | ||
| 51 | Linear OA(860, 86, F8, 35) (dual of [86, 26, 36]-code) | [i] | ||
| 52 | Linear OA(864, 92, F8, 36) (dual of [92, 28, 37]-code) | [i] | ||
| 53 | Linear OA(867, 95, F8, 37) (dual of [95, 28, 38]-code) | [i] | ||
| 54 | Linear OA(869, 96, F8, 38) (dual of [96, 27, 39]-code) | [i] | ||
| 55 | Linear OA(859, 85, F8, 35) (dual of [85, 26, 36]-code) | [i] | ||
| 56 | Linear OA(869, 89, F8, 43) (dual of [89, 20, 44]-code) | [i] | ||
| 57 | Linear OA(867, 86, F8, 42) (dual of [86, 19, 43]-code) | [i] | ||
| 58 | Linear OA(867, 86, F8, 43) (dual of [86, 19, 44]-code) | [i] | ||
| 59 | Linear OA(864, 81, F8, 42) (dual of [81, 17, 43]-code) | [i] | ||
| 60 | Linear OA(864, 81, F8, 42) (dual of [81, 17, 43]-code) | [i] | ||
| 61 | Linear OA(873, 86, F8, 51) (dual of [86, 13, 52]-code) | [i] | ||
| 62 | Linear OA(872, 84, F8, 51) (dual of [84, 12, 52]-code) | [i] | ||
| 63 | Linear OA(869, 81, F8, 49) (dual of [81, 12, 50]-code) | [i] | ||
| 64 | Linear OA(869, 81, F8, 49) (dual of [81, 12, 50]-code) | [i] | ||
| 65 | Linear OA(871, 82, F8, 51) (dual of [82, 11, 52]-code) | [i] | ||
| 66 | Linear OA(870, 80, F8, 51) (dual of [80, 10, 52]-code) | [i] | ||
| 67 | Linear OA(877, 85, F8, 59) (dual of [85, 8, 60]-code) | [i] | ||
| 68 | Linear OA(873, 81, F8, 56) (dual of [81, 8, 57]-code) | [i] | ||
| 69 | Linear OA(873, 81, F8, 56) (dual of [81, 8, 57]-code) | [i] | ||
| 70 | Linear OA(878, 86, F8, 60) (dual of [86, 8, 61]-code) | [i] | ||
| 71 | Linear OA(865, 73, F8, 52) (dual of [73, 8, 53]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 72 | Linear OA(860, 73, F8, 44) (dual of [73, 13, 45]-code) | [i] | ||
| 73 | Linear OA(853, 73, F8, 36) (dual of [73, 20, 37]-code) | [i] | ||
| 74 | Linear OA(845, 73, F8, 28) (dual of [73, 28, 29]-code) | [i] | ||
| 75 | Linear OA(877, 96, F8, 46) (dual of [96, 19, 47]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 76 | Linear OA(877, 97, F8, 46) (dual of [97, 20, 47]-code) | [i] | ||
| 77 | Linear OA(875, 95, F8, 45) (dual of [95, 20, 46]-code) | [i] | ||