Information on Result #606346
Linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using Reed–Solomon code RS(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(835, 40, F8, 27) (dual of [40, 5, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(835, 40, F8, 27) (dual of [40, 5, 28]-code) | [i] | ||
| 3 | Linear OA(830, 36, F8, 23) (dual of [36, 6, 24]-code) | [i] | ||
| 4 | Linear OA(885, 90, F8, 67) (dual of [90, 5, 68]-code) | [i] | Juxtaposition | |
| 5 | Linear OA(8131, 136, F8, 105) (dual of [136, 5, 106]-code) | [i] | ||
| 6 | Linear OA(868, 72, F8, 59) (dual of [72, 4, 60]-code) | [i] | ||
| 7 | Linear OA(874, 78, F8, 62) (dual of [78, 4, 63]-code) | [i] | ||
| 8 | Linear OA(875, 79, F8, 63) (dual of [79, 4, 64]-code) | [i] | ||
| 9 | Linear OA(8133, 137, F8, 115) (dual of [137, 4, 116]-code) | [i] | ||
| 10 | Linear OA(831, 34, F8, 27) (dual of [34, 3, 28]-code) | [i] | ||
| 11 | Linear OA(8153, 157, F8, 131) (dual of [157, 4, 132]-code) | [i] | ||
| 12 | Linear OA(8129, 134, F8, 107) (dual of [134, 5, 108]-code) | [i] | ||
| 13 | Linear OA(867, 75, F8, 47) (dual of [75, 8, 48]-code) | [i] | Concatenation of Two Codes | |
| 14 | Linear OA(875, 85, F8, 51) (dual of [85, 10, 52]-code) | [i] | ||
| 15 | Linear OA(872, 80, F8, 51) (dual of [80, 8, 52]-code) | [i] | ||
| 16 | Linear OA(880, 90, F8, 55) (dual of [90, 10, 56]-code) | [i] | ||
| 17 | Linear OA(877, 85, F8, 55) (dual of [85, 8, 56]-code) | [i] | ||
| 18 | Linear OA(885, 95, F8, 59) (dual of [95, 10, 60]-code) | [i] | ||
| 19 | Linear OA(882, 90, F8, 59) (dual of [90, 8, 60]-code) | [i] | ||
| 20 | Linear OA(893, 105, F8, 63) (dual of [105, 12, 64]-code) | [i] | ||
| 21 | Linear OA(890, 100, F8, 63) (dual of [100, 10, 64]-code) | [i] | ||
| 22 | Linear OA(887, 95, F8, 63) (dual of [95, 8, 64]-code) | [i] | ||
| 23 | Linear OA(898, 110, F8, 67) (dual of [110, 12, 68]-code) | [i] | ||
| 24 | Linear OA(895, 105, F8, 67) (dual of [105, 10, 68]-code) | [i] | ||
| 25 | Linear OA(892, 100, F8, 67) (dual of [100, 8, 68]-code) | [i] | ||
| 26 | Linear OA(889, 95, F8, 67) (dual of [95, 6, 68]-code) | [i] | ||
| 27 | Linear OA(8103, 115, F8, 71) (dual of [115, 12, 72]-code) | [i] | ||
| 28 | Linear OA(8100, 110, F8, 71) (dual of [110, 10, 72]-code) | [i] | ||
| 29 | Linear OA(897, 105, F8, 71) (dual of [105, 8, 72]-code) | [i] | ||
| 30 | Linear OA(894, 100, F8, 71) (dual of [100, 6, 72]-code) | [i] | ||
| 31 | Linear OA(8111, 125, F8, 75) (dual of [125, 14, 76]-code) | [i] | ||
| 32 | Linear OA(8108, 120, F8, 75) (dual of [120, 12, 76]-code) | [i] | ||
| 33 | Linear OA(8105, 115, F8, 75) (dual of [115, 10, 76]-code) | [i] | ||
| 34 | Linear OA(899, 105, F8, 75) (dual of [105, 6, 76]-code) | [i] | ||
| 35 | Linear OA(8116, 130, F8, 79) (dual of [130, 14, 80]-code) | [i] | ||
| 36 | Linear OA(8113, 125, F8, 79) (dual of [125, 12, 80]-code) | [i] | ||
| 37 | Linear OA(8110, 120, F8, 79) (dual of [120, 10, 80]-code) | [i] | ||
| 38 | Linear OA(8121, 135, F8, 83) (dual of [135, 14, 84]-code) | [i] | ||
| 39 | Linear OA(8118, 130, F8, 83) (dual of [130, 12, 84]-code) | [i] | ||
| 40 | Linear OA(8115, 125, F8, 83) (dual of [125, 10, 84]-code) | [i] | ||
| 41 | Linear OA(8129, 145, F8, 87) (dual of [145, 16, 88]-code) | [i] | ||
| 42 | Linear OA(8126, 140, F8, 87) (dual of [140, 14, 88]-code) | [i] | ||
| 43 | Linear OA(8123, 135, F8, 87) (dual of [135, 12, 88]-code) | [i] | ||
| 44 | Linear OA(8120, 130, F8, 87) (dual of [130, 10, 88]-code) | [i] | ||
| 45 | Linear OA(8134, 150, F8, 91) (dual of [150, 16, 92]-code) | [i] | ||
| 46 | Linear OA(8131, 145, F8, 91) (dual of [145, 14, 92]-code) | [i] | ||
| 47 | Linear OA(8128, 140, F8, 91) (dual of [140, 12, 92]-code) | [i] | ||
| 48 | Linear OA(8125, 135, F8, 91) (dual of [135, 10, 92]-code) | [i] | ||
| 49 | Linear OA(8139, 155, F8, 95) (dual of [155, 16, 96]-code) | [i] | ||
| 50 | Linear OA(8136, 150, F8, 95) (dual of [150, 14, 96]-code) | [i] | ||
| 51 | Linear OA(8133, 145, F8, 95) (dual of [145, 12, 96]-code) | [i] | ||
| 52 | Linear OA(8130, 140, F8, 95) (dual of [140, 10, 96]-code) | [i] | ||
| 53 | Linear OA(8127, 135, F8, 95) (dual of [135, 8, 96]-code) | [i] | ||
| 54 | Linear OA(8147, 165, F8, 99) (dual of [165, 18, 100]-code) | [i] | ||
| 55 | Linear OA(8144, 160, F8, 99) (dual of [160, 16, 100]-code) | [i] | ||
| 56 | Linear OA(8141, 155, F8, 99) (dual of [155, 14, 100]-code) | [i] | ||
| 57 | Linear OA(8138, 150, F8, 99) (dual of [150, 12, 100]-code) | [i] | ||
| 58 | Linear OA(8135, 145, F8, 99) (dual of [145, 10, 100]-code) | [i] | ||
| 59 | Linear OA(8132, 140, F8, 99) (dual of [140, 8, 100]-code) | [i] | ||
| 60 | Linear OA(8152, 170, F8, 103) (dual of [170, 18, 104]-code) | [i] | ||
| 61 | Linear OA(8149, 165, F8, 103) (dual of [165, 16, 104]-code) | [i] | ||
| 62 | Linear OA(8146, 160, F8, 103) (dual of [160, 14, 104]-code) | [i] | ||
| 63 | Linear OA(8143, 155, F8, 103) (dual of [155, 12, 104]-code) | [i] | ||
| 64 | Linear OA(8140, 150, F8, 103) (dual of [150, 10, 104]-code) | [i] | ||
| 65 | Linear OA(8137, 145, F8, 103) (dual of [145, 8, 104]-code) | [i] | ||
| 66 | Linear OA(8157, 175, F8, 107) (dual of [175, 18, 108]-code) | [i] | ||
| 67 | Linear OA(8154, 170, F8, 107) (dual of [170, 16, 108]-code) | [i] | ||
| 68 | Linear OA(8151, 165, F8, 107) (dual of [165, 14, 108]-code) | [i] | ||
| 69 | Linear OA(8148, 160, F8, 107) (dual of [160, 12, 108]-code) | [i] | ||
| 70 | Linear OA(8145, 155, F8, 107) (dual of [155, 10, 108]-code) | [i] | ||
| 71 | Linear OA(8142, 150, F8, 107) (dual of [150, 8, 108]-code) | [i] | ||
| 72 | Linear OA(8165, 185, F8, 111) (dual of [185, 20, 112]-code) | [i] | ||
| 73 | Linear OA(8162, 180, F8, 111) (dual of [180, 18, 112]-code) | [i] | ||
| 74 | Linear OA(8159, 175, F8, 111) (dual of [175, 16, 112]-code) | [i] | ||
| 75 | Linear OA(8156, 170, F8, 111) (dual of [170, 14, 112]-code) | [i] | ||
| 76 | Linear OA(8153, 165, F8, 111) (dual of [165, 12, 112]-code) | [i] | ||
| 77 | Linear OA(8150, 160, F8, 111) (dual of [160, 10, 112]-code) | [i] | ||
| 78 | Linear OA(8147, 155, F8, 111) (dual of [155, 8, 112]-code) | [i] | ||
| 79 | Linear OA(8173, 195, F8, 115) (dual of [195, 22, 116]-code) | [i] | ||
| 80 | Linear OA(8170, 190, F8, 115) (dual of [190, 20, 116]-code) | [i] | ||
| 81 | Linear OA(8167, 185, F8, 115) (dual of [185, 18, 116]-code) | [i] | ||
| 82 | Linear OA(8164, 180, F8, 115) (dual of [180, 16, 116]-code) | [i] | ||
| 83 | Linear OA(8161, 175, F8, 115) (dual of [175, 14, 116]-code) | [i] | ||
| 84 | Linear OA(8158, 170, F8, 115) (dual of [170, 12, 116]-code) | [i] | ||
| 85 | Linear OA(8155, 165, F8, 115) (dual of [165, 10, 116]-code) | [i] | ||
| 86 | Linear OA(8152, 160, F8, 115) (dual of [160, 8, 116]-code) | [i] | ||
| 87 | Linear OA(8172, 190, F8, 119) (dual of [190, 18, 120]-code) | [i] | ||
| 88 | Linear OA(8169, 185, F8, 119) (dual of [185, 16, 120]-code) | [i] | ||
| 89 | Linear OA(8166, 180, F8, 119) (dual of [180, 14, 120]-code) | [i] | ||
| 90 | Linear OA(8163, 175, F8, 119) (dual of [175, 12, 120]-code) | [i] | ||
| 91 | Linear OA(8160, 170, F8, 119) (dual of [170, 10, 120]-code) | [i] | ||
| 92 | Linear OA(8157, 165, F8, 119) (dual of [165, 8, 120]-code) | [i] | ||
| 93 | Linear OA(8171, 185, F8, 123) (dual of [185, 14, 124]-code) | [i] | ||
| 94 | Linear OA(8168, 180, F8, 123) (dual of [180, 12, 124]-code) | [i] | ||
| 95 | Linear OA(8165, 175, F8, 123) (dual of [175, 10, 124]-code) | [i] | ||
| 96 | Linear OA(8162, 170, F8, 123) (dual of [170, 8, 124]-code) | [i] | ||
| 97 | Linear OA(8173, 185, F8, 127) (dual of [185, 12, 128]-code) | [i] | ||
| 98 | Linear OA(8170, 180, F8, 127) (dual of [180, 10, 128]-code) | [i] | ||
| 99 | Linear OA(8167, 175, F8, 127) (dual of [175, 8, 128]-code) | [i] | ||
| 100 | Linear OA(8172, 180, F8, 131) (dual of [180, 8, 132]-code) | [i] | ||
| 101 | Linear OA(8169, 175, F8, 131) (dual of [175, 6, 132]-code) | [i] | ||
| 102 | Linear OOA(233, 24, F2, 2, 15) (dual of [(24, 2), 15, 16]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 103 | Linear OOA(230, 21, F2, 2, 15) (dual of [(21, 2), 12, 16]-NRT-code) | [i] | ||
| 104 | Linear OOA(227, 18, F2, 2, 15) (dual of [(18, 2), 9, 16]-NRT-code) | [i] | ||
| 105 | Linear OOA(224, 15, F2, 2, 15) (dual of [(15, 2), 6, 16]-NRT-code) | [i] | ||
| 106 | Linear OA(824, 30, F8, 18) (dual of [30, 6, 19]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 107 | Linear OA(823, 30, F8, 17) (dual of [30, 7, 18]-code) | [i] | ||
| 108 | Linear OA(822, 30, F8, 16) (dual of [30, 8, 17]-code) | [i] | ||
| 109 | Linear OA(821, 30, F8, 15) (dual of [30, 9, 16]-code) | [i] | ||
| 110 | Linear OA(820, 30, F8, 14) (dual of [30, 10, 15]-code) | [i] | ||
| 111 | Linear OA(819, 30, F8, 13) (dual of [30, 11, 14]-code) | [i] | ||
| 112 | Linear OA(818, 30, F8, 12) (dual of [30, 12, 13]-code) | [i] | ||
| 113 | Linear OA(817, 30, F8, 11) (dual of [30, 13, 12]-code) | [i] | ||
| 114 | Linear OA(858, 71, F8, 41) (dual of [71, 13, 42]-code) | [i] | ||
| 115 | Linear OA(857, 71, F8, 40) (dual of [71, 14, 41]-code) | [i] | ||
| 116 | Linear OA(856, 71, F8, 39) (dual of [71, 15, 40]-code) | [i] | ||
| 117 | Linear OA(855, 71, F8, 38) (dual of [71, 16, 39]-code) | [i] | ||
| 118 | Linear OA(854, 71, F8, 37) (dual of [71, 17, 38]-code) | [i] | ||
| 119 | Linear OA(853, 71, F8, 36) (dual of [71, 18, 37]-code) | [i] | ||
| 120 | Linear OA(852, 71, F8, 35) (dual of [71, 19, 36]-code) | [i] | ||
| 121 | Linear OA(851, 71, F8, 34) (dual of [71, 20, 35]-code) | [i] | ||
| 122 | Linear OA(850, 71, F8, 33) (dual of [71, 21, 34]-code) | [i] | ||
| 123 | Linear OA(849, 71, F8, 32) (dual of [71, 22, 33]-code) | [i] | ||
| 124 | Linear OA(848, 71, F8, 31) (dual of [71, 23, 32]-code) | [i] | ||
| 125 | Linear OA(847, 71, F8, 30) (dual of [71, 24, 31]-code) | [i] | ||
| 126 | Linear OA(846, 71, F8, 29) (dual of [71, 25, 30]-code) | [i] | ||
| 127 | Linear OA(845, 71, F8, 28) (dual of [71, 26, 29]-code) | [i] | ||
| 128 | Linear OA(844, 71, F8, 27) (dual of [71, 27, 28]-code) | [i] | ||
| 129 | Linear OA(843, 71, F8, 26) (dual of [71, 28, 27]-code) | [i] | ||
| 130 | Linear OA(842, 71, F8, 25) (dual of [71, 29, 26]-code) | [i] | ||
| 131 | Linear OA(841, 71, F8, 24) (dual of [71, 30, 25]-code) | [i] | ||
| 132 | Linear OA(840, 71, F8, 23) (dual of [71, 31, 24]-code) | [i] | ||
| 133 | Linear OA(839, 71, F8, 22) (dual of [71, 32, 23]-code) | [i] | ||
| 134 | Linear OA(838, 71, F8, 21) (dual of [71, 33, 22]-code) | [i] | ||
| 135 | Linear OA(837, 71, F8, 20) (dual of [71, 34, 21]-code) | [i] | ||
| 136 | Linear OA(825, 31, F8, 19) (dual of [31, 6, 20]-code) | [i] | ||
| 137 | Linear OA(823, 31, F8, 17) (dual of [31, 8, 18]-code) | [i] | ||
| 138 | Linear OA(821, 31, F8, 15) (dual of [31, 10, 16]-code) | [i] | ||
| 139 | Linear OA(819, 31, F8, 13) (dual of [31, 12, 14]-code) | [i] | ||
| 140 | Linear OA(817, 31, F8, 11) (dual of [31, 14, 12]-code) | [i] | ||
| 141 | Linear OA(861, 69, F8, 47) (dual of [69, 8, 48]-code) | [i] | ||
| 142 | Linear OA(860, 71, F8, 45) (dual of [71, 11, 46]-code) | [i] | ||
| 143 | Linear OA(858, 71, F8, 42) (dual of [71, 13, 43]-code) | [i] | ||
| 144 | Linear OA(856, 70, F8, 41) (dual of [70, 14, 42]-code) | [i] | ||
| 145 | Linear OA(855, 70, F8, 39) (dual of [70, 15, 40]-code) | [i] | ||
| 146 | Linear OA(854, 70, F8, 38) (dual of [70, 16, 39]-code) | [i] | ||
| 147 | Linear OA(853, 70, F8, 37) (dual of [70, 17, 38]-code) | [i] | ||
| 148 | Linear OA(824, 29, F8, 19) (dual of [29, 5, 20]-code) | [i] | ||
| 149 | Linear OA(880, 94, F8, 52) (dual of [94, 14, 53]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 150 | Linear OA(878, 93, F8, 50) (dual of [93, 15, 51]-code) | [i] | ||
| 151 | Linear OA(878, 94, F8, 49) (dual of [94, 16, 50]-code) | [i] | ||
| 152 | Linear OA(880, 97, F8, 49) (dual of [97, 17, 50]-code) | [i] | ||
| 153 | Linear OA(876, 93, F8, 47) (dual of [93, 17, 48]-code) | [i] | ||
| 154 | Linear OA(821, 73, F8, 11) (dual of [73, 52, 12]-code) | [i] | Construction XX with Cyclic Codes | |
| 155 | Linear OA(823, 73, F8, 12) (dual of [73, 50, 13]-code) | [i] | ||
| 156 | Linear OA(834, 71, F8, 20) (dual of [71, 37, 21]-code) | [i] | ||
| 157 | Linear OA(871, 543, F8, 23) (dual of [543, 472, 24]-code) | [i] | ||
| 158 | Linear OA(8173, 32806, F8, 37) (dual of [32806, 32633, 38]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 159 | Linear OA(8172, 32804, F8, 37) (dual of [32804, 32632, 38]-code) | [i] | ||
| 160 | Linear OA(8171, 32802, F8, 37) (dual of [32802, 32631, 38]-code) | [i] | ||
| 161 | Linear OA(8103, 32806, F8, 21) (dual of [32806, 32703, 22]-code) | [i] | ||
| 162 | Linear OA(8102, 32804, F8, 21) (dual of [32804, 32702, 22]-code) | [i] | ||
| 163 | Linear OA(8101, 32802, F8, 21) (dual of [32802, 32701, 22]-code) | [i] | ||
| 164 | Linear OA(8141, 4130, F8, 37) (dual of [4130, 3989, 38]-code) | [i] | ||
| 165 | Linear OA(8140, 4128, F8, 37) (dual of [4128, 3988, 38]-code) | [i] | ||
| 166 | Linear OA(8139, 4126, F8, 37) (dual of [4126, 3987, 38]-code) | [i] | ||
| 167 | Linear OA(8138, 4124, F8, 37) (dual of [4124, 3986, 38]-code) | [i] | ||
| 168 | Linear OA(8127, 4113, F8, 35) (dual of [4113, 3986, 36]-code) | [i] | ||
| 169 | Linear OA(871, 4113, F8, 19) (dual of [4113, 4042, 20]-code) | [i] | ||
| 170 | Linear OA(8159, 549, F8, 55) (dual of [549, 390, 56]-code) | [i] | ||
| 171 | Linear OA(8158, 547, F8, 55) (dual of [547, 389, 56]-code) | [i] | ||
| 172 | Linear OA(8157, 545, F8, 55) (dual of [545, 388, 56]-code) | [i] | ||
| 173 | Linear OA(8149, 538, F8, 53) (dual of [538, 389, 54]-code) | [i] | ||
| 174 | Linear OA(8148, 536, F8, 53) (dual of [536, 388, 54]-code) | [i] | ||
| 175 | Linear OA(8117, 549, F8, 39) (dual of [549, 432, 40]-code) | [i] | ||
| 176 | Linear OA(8116, 547, F8, 39) (dual of [547, 431, 40]-code) | [i] | ||
| 177 | Linear OA(8115, 545, F8, 39) (dual of [545, 430, 40]-code) | [i] | ||
| 178 | Linear OA(8107, 538, F8, 37) (dual of [538, 431, 38]-code) | [i] | ||
| 179 | Linear OA(8106, 536, F8, 37) (dual of [536, 430, 38]-code) | [i] | ||
| 180 | Linear OA(875, 549, F8, 23) (dual of [549, 474, 24]-code) | [i] | ||
| 181 | Linear OA(874, 547, F8, 23) (dual of [547, 473, 24]-code) | [i] | ||
| 182 | Linear OA(873, 545, F8, 23) (dual of [545, 472, 24]-code) | [i] | ||
| 183 | Linear OA(865, 538, F8, 21) (dual of [538, 473, 22]-code) | [i] | ||
| 184 | Linear OA(864, 536, F8, 21) (dual of [536, 472, 22]-code) | [i] | ||
| 185 | Linear OA(842, 69, F8, 27) (dual of [69, 27, 28]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 186 | Linear OA(832, 70, F8, 19) (dual of [70, 38, 20]-code) | [i] | ||
| 187 | Linear OA(831, 71, F8, 18) (dual of [71, 40, 19]-code) | [i] | ||
| 188 | Linear OA(821, 72, F8, 11) (dual of [72, 51, 12]-code) | [i] | ||
| 189 | Linear OA(819, 72, F8, 10) (dual of [72, 53, 11]-code) | [i] | ||
| 190 | Linear OA(866, 93, F8, 37) (dual of [93, 27, 38]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 191 | Linear OA(864, 91, F8, 36) (dual of [91, 27, 37]-code) | [i] | ||
| 192 | Linear OA(868, 85, F8, 45) (dual of [85, 17, 46]-code) | [i] | Construction X with Varšamov Bound | |
| 193 | Linear OA(8109, 122, F8, 78) (dual of [122, 13, 79]-code) | [i] | ||
| 194 | Linear OA(870, 84, F8, 48) (dual of [84, 14, 49]-code) | [i] | ||
| 195 | Linear OA(872, 87, F8, 49) (dual of [87, 15, 50]-code) | [i] | ||
| 196 | Linear OA(8102, 116, F8, 72) (dual of [116, 14, 73]-code) | [i] | ||
| 197 | Linear OA(884, 103, F8, 56) (dual of [103, 19, 57]-code) | [i] | ||
| 198 | Linear OA(8113, 133, F8, 77) (dual of [133, 20, 78]-code) | [i] | ||