Information on Result #606347
Linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using Reed–Solomon code RS(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(843, 49, F8, 34) (dual of [49, 6, 35]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(837, 42, F8, 29) (dual of [42, 5, 30]-code) | [i] | ||
| 3 | Linear OA(837, 42, F8, 29) (dual of [42, 5, 30]-code) | [i] | ||
| 4 | Linear OA(830, 36, F8, 23) (dual of [36, 6, 24]-code) | [i] | ||
| 5 | Linear OA(869, 73, F8, 60) (dual of [73, 4, 61]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(876, 80, F8, 64) (dual of [80, 4, 65]-code) | [i] | ||
| 7 | Linear OA(877, 81, F8, 65) (dual of [81, 4, 66]-code) | [i] | ||
| 8 | Linear OA(8134, 138, F8, 116) (dual of [138, 4, 117]-code) | [i] | ||
| 9 | Linear OA(8141, 145, F8, 120) (dual of [145, 4, 121]-code) | [i] | ||
| 10 | Linear OA(8142, 146, F8, 121) (dual of [146, 4, 122]-code) | [i] | ||
| 11 | Linear OA(832, 35, F8, 28) (dual of [35, 3, 29]-code) | [i] | ||
| 12 | Linear OA(879, 83, F8, 68) (dual of [83, 4, 69]-code) | [i] | ||
| 13 | Linear OA(8154, 158, F8, 132) (dual of [158, 4, 133]-code) | [i] | ||
| 14 | Linear OA(220, 32, F2, 9) (dual of [32, 12, 10]-code) | [i] | Concatenation of Two Codes | |
| 15 | Linear OA(240, 49, F2, 19) (dual of [49, 9, 20]-code) | [i] | ||
| 16 | Linear OA(888, 96, F8, 64) (dual of [96, 8, 65]-code) | [i] | ||
| 17 | Linear OA(884, 90, F8, 64) (dual of [90, 6, 65]-code) | [i] | ||
| 18 | Linear OA(894, 102, F8, 69) (dual of [102, 8, 70]-code) | [i] | ||
| 19 | Linear OA(890, 96, F8, 69) (dual of [96, 6, 70]-code) | [i] | ||
| 20 | Linear OA(8100, 108, F8, 74) (dual of [108, 8, 75]-code) | [i] | ||
| 21 | Linear OA(896, 102, F8, 74) (dual of [102, 6, 75]-code) | [i] | ||
| 22 | Linear OA(8102, 108, F8, 79) (dual of [108, 6, 80]-code) | [i] | ||
| 23 | Linear OA(8116, 126, F8, 84) (dual of [126, 10, 85]-code) | [i] | ||
| 24 | Linear OA(8108, 114, F8, 84) (dual of [114, 6, 85]-code) | [i] | ||
| 25 | Linear OA(8122, 132, F8, 89) (dual of [132, 10, 90]-code) | [i] | ||
| 26 | Linear OA(8128, 138, F8, 94) (dual of [138, 10, 95]-code) | [i] | ||
| 27 | Linear OA(8124, 132, F8, 94) (dual of [132, 8, 95]-code) | [i] | ||
| 28 | Linear OA(8120, 126, F8, 94) (dual of [126, 6, 95]-code) | [i] | ||
| 29 | Linear OA(8134, 144, F8, 99) (dual of [144, 10, 100]-code) | [i] | ||
| 30 | Linear OA(8130, 138, F8, 99) (dual of [138, 8, 100]-code) | [i] | ||
| 31 | Linear OA(8126, 132, F8, 99) (dual of [132, 6, 100]-code) | [i] | ||
| 32 | Linear OA(8144, 156, F8, 104) (dual of [156, 12, 105]-code) | [i] | ||
| 33 | Linear OA(8140, 150, F8, 104) (dual of [150, 10, 105]-code) | [i] | ||
| 34 | Linear OA(8136, 144, F8, 104) (dual of [144, 8, 105]-code) | [i] | ||
| 35 | Linear OA(8132, 138, F8, 104) (dual of [138, 6, 105]-code) | [i] | ||
| 36 | Linear OA(8150, 162, F8, 109) (dual of [162, 12, 110]-code) | [i] | ||
| 37 | Linear OA(8146, 156, F8, 109) (dual of [156, 10, 110]-code) | [i] | ||
| 38 | Linear OA(8142, 150, F8, 109) (dual of [150, 8, 110]-code) | [i] | ||
| 39 | Linear OA(8156, 168, F8, 114) (dual of [168, 12, 115]-code) | [i] | ||
| 40 | Linear OA(8152, 162, F8, 114) (dual of [162, 10, 115]-code) | [i] | ||
| 41 | Linear OA(8148, 156, F8, 114) (dual of [156, 8, 115]-code) | [i] | ||
| 42 | Linear OA(8144, 150, F8, 114) (dual of [150, 6, 115]-code) | [i] | ||
| 43 | Linear OA(8162, 174, F8, 119) (dual of [174, 12, 120]-code) | [i] | ||
| 44 | Linear OA(8158, 168, F8, 119) (dual of [168, 10, 120]-code) | [i] | ||
| 45 | Linear OA(8154, 162, F8, 119) (dual of [162, 8, 120]-code) | [i] | ||
| 46 | Linear OA(8150, 156, F8, 119) (dual of [156, 6, 120]-code) | [i] | ||
| 47 | Linear OA(8172, 186, F8, 124) (dual of [186, 14, 125]-code) | [i] | ||
| 48 | Linear OA(8168, 180, F8, 124) (dual of [180, 12, 125]-code) | [i] | ||
| 49 | Linear OA(8164, 174, F8, 124) (dual of [174, 10, 125]-code) | [i] | ||
| 50 | Linear OA(8160, 168, F8, 124) (dual of [168, 8, 125]-code) | [i] | ||
| 51 | Linear OA(8156, 162, F8, 124) (dual of [162, 6, 125]-code) | [i] | ||
| 52 | Linear OA(8170, 180, F8, 129) (dual of [180, 10, 130]-code) | [i] | ||
| 53 | Linear OA(8166, 174, F8, 129) (dual of [174, 8, 130]-code) | [i] | ||
| 54 | Linear OA(8162, 168, F8, 129) (dual of [168, 6, 130]-code) | [i] | ||
| 55 | Linear OA(8172, 180, F8, 134) (dual of [180, 8, 135]-code) | [i] | ||
| 56 | Linear OA(8168, 174, F8, 134) (dual of [174, 6, 135]-code) | [i] | ||
| 57 | Linear OOA(236, 24, F2, 2, 19) (dual of [(24, 2), 12, 20]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 58 | Linear OOA(233, 21, F2, 2, 19) (dual of [(21, 2), 9, 20]-NRT-code) | [i] | ||
| 59 | Linear OOA(261, 35, F2, 2, 34) (dual of [(35, 2), 9, 35]-NRT-code) | [i] | ||
| 60 | Linear OOA(254, 30, F2, 2, 34) (dual of [(30, 2), 6, 35]-NRT-code) | [i] | ||
| 61 | Linear OOA(260, 24, F2, 3, 34) (dual of [(24, 3), 12, 35]-NRT-code) | [i] | ||
| 62 | Linear OOA(254, 21, F2, 3, 34) (dual of [(21, 3), 9, 35]-NRT-code) | [i] | ||
| 63 | Linear OOA(248, 18, F2, 3, 34) (dual of [(18, 3), 6, 35]-NRT-code) | [i] | ||
| 64 | Linear OOA(284, 30, F2, 3, 59) (dual of [(30, 3), 6, 60]-NRT-code) | [i] | ||
| 65 | Linear OA(865, 70, F8, 55) (dual of [70, 5, 56]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 66 | Linear OA(862, 71, F8, 47) (dual of [71, 9, 48]-code) | [i] | ||
| 67 | Linear OA(856, 72, F8, 39) (dual of [72, 16, 40]-code) | [i] | ||
| 68 | Linear OA(855, 72, F8, 38) (dual of [72, 17, 39]-code) | [i] | ||
| 69 | Linear OA(854, 72, F8, 37) (dual of [72, 18, 38]-code) | [i] | ||
| 70 | Linear OA(874, 79, F8, 61) (dual of [79, 5, 62]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 71 | Linear OA(879, 96, F8, 48) (dual of [96, 17, 49]-code) | [i] | ||
| 72 | Linear OA(871, 32780, F8, 14) (dual of [32780, 32709, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 73 | Linear OA(895, 2097164, F8, 14) (dual of [2097164, 2097069, 15]-code) | [i] | ||
| 74 | Linear OA(851, 88, F8, 26) (dual of [88, 37, 27]-code) | [i] | Construction XX with Cyclic Codes | |
| 75 | Linear OA(850, 87, F8, 26) (dual of [87, 37, 27]-code) | [i] | ||
| 76 | Linear OA(848, 85, F8, 25) (dual of [85, 37, 26]-code) | [i] | ||
| 77 | Linear OA(846, 72, F8, 29) (dual of [72, 26, 30]-code) | [i] | ||
| 78 | Linear OA(849, 75, F8, 30) (dual of [75, 26, 31]-code) | [i] | ||
| 79 | Linear OA(857, 83, F8, 33) (dual of [83, 26, 34]-code) | [i] | ||
| 80 | Linear OA(8173, 519, F8, 68) (dual of [519, 346, 69]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 81 | Linear OA(852, 70, F8, 36) (dual of [70, 18, 37]-code) | [i] | ||
| 82 | Linear OA(844, 71, F8, 28) (dual of [71, 27, 29]-code) | [i] | ||
| 83 | Linear OA(843, 72, F8, 27) (dual of [72, 29, 28]-code) | [i] | ||
| 84 | Linear OA(874, 92, F8, 46) (dual of [92, 18, 47]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 85 | Linear OA(867, 94, F8, 37) (dual of [94, 27, 38]-code) | [i] | ||
| 86 | Linear OA(867, 96, F8, 36) (dual of [96, 29, 37]-code) | [i] | ||
| 87 | Linear OA(866, 94, F8, 36) (dual of [94, 28, 37]-code) | [i] | ||
| 88 | Linear OA(899, 111, F8, 71) (dual of [111, 12, 72]-code) | [i] | Construction X with Varšamov Bound | |
| 89 | Linear OA(8100, 112, F8, 72) (dual of [112, 12, 73]-code) | [i] | ||
| 90 | Linear OA(874, 88, F8, 51) (dual of [88, 14, 52]-code) | [i] | ||
| 91 | Linear OA(8107, 121, F8, 76) (dual of [121, 14, 77]-code) | [i] | ||
| 92 | Linear OA(8110, 123, F8, 79) (dual of [123, 13, 80]-code) | [i] | ||
| 93 | Linear OA(8111, 125, F8, 79) (dual of [125, 14, 80]-code) | [i] | ||
| 94 | Linear OA(8124, 138, F8, 89) (dual of [138, 14, 90]-code) | [i] | ||
| 95 | Linear OA(8117, 132, F8, 83) (dual of [132, 15, 84]-code) | [i] | ||