Information on Result #606810
Linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using extended Reed–Solomon code RSe(7,9)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(922, 740, F9, 7) (dual of [740, 718, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(929, 13134, F9, 7) (dual of [13134, 13105, 8]-code) | [i] | ||
| 3 | Linear OA(934, 59060, F9, 7) (dual of [59060, 59026, 8]-code) | [i] | ||
| 4 | Linear OA(941, 1062894, F9, 7) (dual of [1062894, 1062853, 8]-code) | [i] | ||
| 5 | Linear OA(946, 4782980, F9, 7) (dual of [4782980, 4782934, 8]-code) | [i] | ||
| 6 | Linear OA(919, 739, F9, 6) (dual of [739, 720, 7]-code) | [i] | ||
| 7 | Linear OA(925, 13132, F9, 6) (dual of [13132, 13107, 7]-code) | [i] | ||
| 8 | Linear OA(929, 59059, F9, 6) (dual of [59059, 59030, 7]-code) | [i] | ||
| 9 | Linear OA(935, 1062892, F9, 6) (dual of [1062892, 1062857, 7]-code) | [i] | ||
| 10 | Linear OA(939, 4782979, F9, 6) (dual of [4782979, 4782940, 7]-code) | [i] | ||
| 11 | Linear OA(929, 13136, F9, 7) (dual of [13136, 13107, 8]-code) | [i] | ||
| 12 | Linear OA(925, 13136, F9, 6) (dual of [13136, 13111, 7]-code) | [i] | ||
| 13 | Linear OA(994, 101, F9, 74) (dual of [101, 7, 75]-code) | [i] | Juxtaposition | |
| 14 | Linear OA(954, 59069, F9, 11) (dual of [59069, 59015, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(972, 4782989, F9, 11) (dual of [4782989, 4782917, 12]-code) | [i] | ||
| 16 | Linear OA(947, 59068, F9, 9) (dual of [59068, 59021, 10]-code) | [i] | ||
| 17 | Linear OA(963, 4782988, F9, 9) (dual of [4782988, 4782925, 10]-code) | [i] | ||
| 18 | Linear OA(936, 59070, F9, 7) (dual of [59070, 59034, 8]-code) | [i] | ||
| 19 | Linear OA(948, 4782990, F9, 7) (dual of [4782990, 4782942, 8]-code) | [i] | ||
| 20 | Linear OA(9116, 4782980, F9, 19) (dual of [4782980, 4782864, 20]-code) | [i] | Construction X with Cyclic Codes | |
| 21 | Linear OA(9100, 531452, F9, 19) (dual of [531452, 531352, 20]-code) | [i] | ||
| 22 | Linear OA(984, 59060, F9, 19) (dual of [59060, 58976, 20]-code) | [i] | ||
| 23 | Linear OA(9132, 6572, F9, 37) (dual of [6572, 6440, 38]-code) | [i] | ||
| 24 | Linear OA(968, 6572, F9, 19) (dual of [6572, 6504, 20]-code) | [i] | ||
| 25 | Linear OA(9112, 740, F9, 41) (dual of [740, 628, 42]-code) | [i] | ||
| 26 | Linear OA(9100, 740, F9, 35) (dual of [740, 640, 36]-code) | [i] | ||
| 27 | Linear OA(994, 740, F9, 33) (dual of [740, 646, 34]-code) | [i] | ||
| 28 | Linear OA(988, 740, F9, 31) (dual of [740, 652, 32]-code) | [i] | ||
| 29 | Linear OA(982, 740, F9, 29) (dual of [740, 658, 30]-code) | [i] | ||
| 30 | Linear OA(976, 740, F9, 27) (dual of [740, 664, 28]-code) | [i] | ||
| 31 | Linear OA(970, 740, F9, 25) (dual of [740, 670, 26]-code) | [i] | ||
| 32 | Linear OA(964, 740, F9, 23) (dual of [740, 676, 24]-code) | [i] | ||
| 33 | Linear OA(952, 740, F9, 17) (dual of [740, 688, 18]-code) | [i] | ||
| 34 | Linear OA(946, 740, F9, 15) (dual of [740, 694, 16]-code) | [i] | ||
| 35 | Linear OA(940, 740, F9, 13) (dual of [740, 700, 14]-code) | [i] | ||
| 36 | Linear OA(928, 740, F9, 9) (dual of [740, 712, 10]-code) | [i] | ||
| 37 | Linear OA(968, 90, F9, 45) (dual of [90, 22, 46]-code) | [i] | ||
| 38 | Linear OA(966, 90, F9, 44) (dual of [90, 24, 45]-code) | [i] | ||
| 39 | Linear OA(965, 90, F9, 43) (dual of [90, 25, 44]-code) | [i] | ||
| 40 | Linear OA(984, 92, F9, 65) (dual of [92, 8, 66]-code) | [i] | ||
| 41 | Linear OA(968, 92, F9, 45) (dual of [92, 24, 46]-code) | [i] | ||
| 42 | Linear OA(956, 92, F9, 31) (dual of [92, 36, 32]-code) | [i] | ||
| 43 | Linear OA(952, 92, F9, 29) (dual of [92, 40, 30]-code) | [i] | ||
| 44 | Linear OA(948, 92, F9, 27) (dual of [92, 44, 28]-code) | [i] | ||
| 45 | Linear OA(944, 92, F9, 25) (dual of [92, 48, 26]-code) | [i] | ||
| 46 | Linear OA(9121, 374, F9, 50) (dual of [374, 253, 51]-code) | [i] | ||
| 47 | Linear OA(9142, 374, F9, 59) (dual of [374, 232, 60]-code) | [i] | ||
| 48 | Linear OA(972, 830, F9, 21) (dual of [830, 758, 22]-code) | [i] | ||
| 49 | Linear OA(9109, 830, F9, 32) (dual of [830, 721, 33]-code) | [i] | ||
| 50 | Linear OA(9113, 830, F9, 33) (dual of [830, 717, 34]-code) | [i] | ||
| 51 | Linear OA(966, 91, F9, 44) (dual of [91, 25, 45]-code) | [i] | Construction XX with Cyclic Codes | |
| 52 | Linear OA(929, 92, F9, 15) (dual of [92, 63, 16]-code) | [i] | ||
| 53 | Linear OA(931, 92, F9, 16) (dual of [92, 61, 17]-code) | [i] | ||
| 54 | Linear OA(933, 92, F9, 17) (dual of [92, 59, 18]-code) | [i] | ||
| 55 | Linear OA(935, 92, F9, 18) (dual of [92, 57, 19]-code) | [i] | ||
| 56 | Linear OA(946, 99, F9, 24) (dual of [99, 53, 25]-code) | [i] | ||
| 57 | Linear OA(948, 99, F9, 25) (dual of [99, 51, 26]-code) | [i] | ||
| 58 | Linear OA(947, 94, F9, 26) (dual of [94, 47, 27]-code) | [i] | ||
| 59 | Linear OA(946, 92, F9, 26) (dual of [92, 46, 27]-code) | [i] | ||
| 60 | Linear OA(948, 97, F9, 26) (dual of [97, 49, 27]-code) | [i] | ||
| 61 | Linear OA(947, 95, F9, 26) (dual of [95, 48, 27]-code) | [i] | ||
| 62 | Linear OA(949, 95, F9, 27) (dual of [95, 46, 28]-code) | [i] | ||
| 63 | Linear OA(951, 100, F9, 27) (dual of [100, 49, 28]-code) | [i] | ||
| 64 | Linear OA(951, 100, F9, 27) (dual of [100, 49, 28]-code) | [i] | ||
| 65 | Linear OA(950, 98, F9, 27) (dual of [98, 48, 28]-code) | [i] | ||
| 66 | Linear OA(962, 108, F9, 33) (dual of [108, 46, 34]-code) | [i] | ||
| 67 | Linear OA(964, 109, F9, 34) (dual of [109, 45, 35]-code) | [i] | ||
| 68 | Linear OA(966, 109, F9, 35) (dual of [109, 43, 36]-code) | [i] | ||
| 69 | Linear OA(968, 109, F9, 36) (dual of [109, 41, 37]-code) | [i] | ||
| 70 | Linear OA(960, 100, F9, 34) (dual of [100, 40, 35]-code) | [i] | ||
| 71 | Linear OA(962, 100, F9, 35) (dual of [100, 38, 36]-code) | [i] | ||
| 72 | Linear OA(981, 118, F9, 43) (dual of [118, 37, 44]-code) | [i] | ||
| 73 | Linear OA(958, 94, F9, 35) (dual of [94, 36, 36]-code) | [i] | ||
| 74 | Linear OA(957, 92, F9, 35) (dual of [92, 35, 36]-code) | [i] | ||
| 75 | Linear OA(960, 94, F9, 36) (dual of [94, 34, 37]-code) | [i] | ||
| 76 | Linear OA(959, 92, F9, 36) (dual of [92, 33, 37]-code) | [i] | ||
| 77 | Linear OA(961, 97, F9, 36) (dual of [97, 36, 37]-code) | [i] | ||
| 78 | Linear OA(960, 95, F9, 36) (dual of [95, 35, 37]-code) | [i] | ||
| 79 | Linear OA(982, 118, F9, 45) (dual of [118, 36, 46]-code) | [i] | ||
| 80 | Linear OA(974, 109, F9, 43) (dual of [109, 35, 44]-code) | [i] | ||
| 81 | Linear OA(976, 110, F9, 44) (dual of [110, 34, 45]-code) | [i] | ||
| 82 | Linear OA(985, 120, F9, 46) (dual of [120, 35, 47]-code) | [i] | ||
| 83 | Linear OA(984, 118, F9, 46) (dual of [118, 34, 47]-code) | [i] | ||
| 84 | Linear OA(978, 110, F9, 45) (dual of [110, 32, 46]-code) | [i] | ||
| 85 | Linear OA(985, 108, F9, 54) (dual of [108, 23, 55]-code) | [i] | ||
| 86 | Linear OA(991, 107, F9, 63) (dual of [107, 16, 64]-code) | [i] | ||
| 87 | Linear OA(9124, 377, F9, 51) (dual of [377, 253, 52]-code) | [i] | ||
| 88 | Linear OA(9128, 381, F9, 52) (dual of [381, 253, 53]-code) | [i] | ||
| 89 | Linear OA(9127, 377, F9, 52) (dual of [377, 250, 53]-code) | [i] | ||
| 90 | Linear OA(9131, 381, F9, 53) (dual of [381, 250, 54]-code) | [i] | ||
| 91 | Linear OA(9130, 377, F9, 53) (dual of [377, 247, 54]-code) | [i] | ||
| 92 | Linear OA(9135, 382, F9, 55) (dual of [382, 247, 56]-code) | [i] | ||
| 93 | Linear OA(9136, 377, F9, 56) (dual of [377, 241, 57]-code) | [i] | ||
| 94 | Linear OA(9139, 377, F9, 57) (dual of [377, 238, 58]-code) | [i] | ||
| 95 | Linear OA(9143, 378, F9, 59) (dual of [378, 235, 60]-code) | [i] | ||
| 96 | Linear OA(9145, 377, F9, 60) (dual of [377, 232, 61]-code) | [i] | ||
| 97 | Linear OA(928, 742, F9, 9) (dual of [742, 714, 10]-code) | [i] | ||
| 98 | Linear OA(931, 748, F9, 10) (dual of [748, 717, 11]-code) | [i] | ||
| 99 | Linear OA(931, 748, F9, 10) (dual of [748, 717, 11]-code) | [i] | ||
| 100 | Linear OA(930, 746, F9, 10) (dual of [746, 716, 11]-code) | [i] | ||
| 101 | Linear OA(931, 741, F9, 11) (dual of [741, 710, 12]-code) | [i] | ||
| 102 | Linear OA(932, 743, F9, 11) (dual of [743, 711, 12]-code) | [i] | ||
| 103 | Linear OA(934, 741, F9, 12) (dual of [741, 707, 13]-code) | [i] | ||
| 104 | Linear OA(935, 745, F9, 12) (dual of [745, 710, 13]-code) | [i] | ||
| 105 | Linear OA(938, 745, F9, 13) (dual of [745, 707, 14]-code) | [i] | ||
| 106 | Linear OA(944, 754, F9, 14) (dual of [754, 710, 15]-code) | [i] | ||
| 107 | Linear OA(953, 763, F9, 16) (dual of [763, 710, 17]-code) | [i] | ||
| 108 | Linear OA(959, 769, F9, 17) (dual of [769, 710, 18]-code) | [i] | ||
| 109 | Linear OA(958, 766, F9, 17) (dual of [766, 708, 18]-code) | [i] | ||
| 110 | Linear OA(947, 754, F9, 15) (dual of [754, 707, 16]-code) | [i] | ||
| 111 | Linear OA(956, 763, F9, 17) (dual of [763, 707, 18]-code) | [i] | ||
| 112 | Linear OA(954, 746, F9, 19) (dual of [746, 692, 20]-code) | [i] | ||
| 113 | Linear OA(956, 743, F9, 20) (dual of [743, 687, 21]-code) | [i] | ||
| 114 | Linear OA(955, 741, F9, 20) (dual of [741, 686, 21]-code) | [i] | ||
| 115 | Linear OA(959, 743, F9, 21) (dual of [743, 684, 22]-code) | [i] | ||
| 116 | Linear OA(958, 741, F9, 21) (dual of [741, 683, 22]-code) | [i] | ||
| 117 | Linear OA(959, 745, F9, 21) (dual of [745, 686, 22]-code) | [i] | ||
| 118 | Linear OA(962, 743, F9, 22) (dual of [743, 681, 23]-code) | [i] | ||
| 119 | Linear OA(962, 745, F9, 22) (dual of [745, 683, 23]-code) | [i] | ||
| 120 | Linear OA(968, 754, F9, 23) (dual of [754, 686, 24]-code) | [i] | ||
| 121 | Linear OA(971, 754, F9, 24) (dual of [754, 683, 25]-code) | [i] | ||
| 122 | Linear OA(978, 746, F9, 28) (dual of [746, 668, 29]-code) | [i] | ||
| 123 | Linear OA(980, 743, F9, 29) (dual of [743, 663, 30]-code) | [i] | ||
| 124 | Linear OA(979, 741, F9, 29) (dual of [741, 662, 30]-code) | [i] | ||
| 125 | Linear OA(983, 743, F9, 30) (dual of [743, 660, 31]-code) | [i] | ||
| 126 | Linear OA(982, 741, F9, 30) (dual of [741, 659, 31]-code) | [i] | ||
| 127 | Linear OA(983, 745, F9, 30) (dual of [745, 662, 31]-code) | [i] | ||
| 128 | Linear OA(986, 743, F9, 31) (dual of [743, 657, 32]-code) | [i] | ||
| 129 | Linear OA(986, 745, F9, 31) (dual of [745, 659, 32]-code) | [i] | ||
| 130 | Linear OA(992, 754, F9, 32) (dual of [754, 662, 33]-code) | [i] | ||
| 131 | Linear OA(995, 754, F9, 33) (dual of [754, 659, 34]-code) | [i] | ||
| 132 | Linear OA(9102, 746, F9, 37) (dual of [746, 644, 38]-code) | [i] | ||
| 133 | Linear OA(9104, 743, F9, 38) (dual of [743, 639, 39]-code) | [i] | ||
| 134 | Linear OA(9103, 741, F9, 38) (dual of [741, 638, 39]-code) | [i] | ||
| 135 | Linear OA(9107, 743, F9, 39) (dual of [743, 636, 40]-code) | [i] | ||
| 136 | Linear OA(9106, 741, F9, 39) (dual of [741, 635, 40]-code) | [i] | ||
| 137 | Linear OA(9107, 745, F9, 39) (dual of [745, 638, 40]-code) | [i] | ||
| 138 | Linear OA(9110, 743, F9, 40) (dual of [743, 633, 41]-code) | [i] | ||
| 139 | Linear OA(9110, 745, F9, 40) (dual of [745, 635, 41]-code) | [i] | ||
| 140 | Linear OA(9116, 754, F9, 41) (dual of [754, 638, 42]-code) | [i] | ||
| 141 | Linear OA(9119, 754, F9, 42) (dual of [754, 635, 43]-code) | [i] | ||
| 142 | Linear OA(9126, 746, F9, 46) (dual of [746, 620, 47]-code) | [i] | ||
| 143 | Linear OA(976, 834, F9, 22) (dual of [834, 758, 23]-code) | [i] | ||
| 144 | Linear OA(980, 834, F9, 23) (dual of [834, 754, 24]-code) | [i] | ||
| 145 | Linear OA(9108, 834, F9, 31) (dual of [834, 726, 32]-code) | [i] | ||
| 146 | Linear OA(9113, 834, F9, 33) (dual of [834, 721, 34]-code) | [i] | ||
| 147 | Linear OA(9117, 834, F9, 34) (dual of [834, 717, 35]-code) | [i] | ||
| 148 | Linear OA(9118, 839, F9, 34) (dual of [839, 721, 35]-code) | [i] | ||
| 149 | Linear OA(9144, 834, F9, 42) (dual of [834, 690, 43]-code) | [i] | ||
| 150 | Linear OA(9148, 834, F9, 43) (dual of [834, 686, 44]-code) | [i] | ||
| 151 | Linear OA(9102, 742, F9, 37) (dual of [742, 640, 38]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 152 | Linear OA(954, 742, F9, 19) (dual of [742, 688, 20]-code) | [i] | ||
| 153 | Linear OA(969, 91, F9, 46) (dual of [91, 22, 47]-code) | [i] | ||
| 154 | Linear OA(968, 91, F9, 45) (dual of [91, 23, 46]-code) | [i] | ||
| 155 | Linear OA(9103, 739, F9, 38) (dual of [739, 636, 39]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 156 | Linear OA(982, 739, F9, 30) (dual of [739, 657, 31]-code) | [i] | ||
| 157 | Linear OA(979, 739, F9, 29) (dual of [739, 660, 30]-code) | [i] | ||
| 158 | Linear OA(976, 739, F9, 28) (dual of [739, 663, 29]-code) | [i] | ||
| 159 | Linear OA(955, 739, F9, 20) (dual of [739, 684, 21]-code) | [i] | ||
| 160 | Linear OA(934, 739, F9, 12) (dual of [739, 705, 13]-code) | [i] | ||
| 161 | Linear OA(931, 739, F9, 11) (dual of [739, 708, 12]-code) | [i] | ||
| 162 | Linear OA(928, 739, F9, 10) (dual of [739, 711, 11]-code) | [i] | ||
| 163 | Linear OA(9145, 375, F9, 60) (dual of [375, 230, 61]-code) | [i] | ||
| 164 | Linear OA(9139, 375, F9, 57) (dual of [375, 236, 58]-code) | [i] | ||
| 165 | Linear OA(9136, 375, F9, 56) (dual of [375, 239, 57]-code) | [i] | ||
| 166 | Linear OA(9133, 375, F9, 55) (dual of [375, 242, 56]-code) | [i] | ||
| 167 | Linear OA(9130, 375, F9, 53) (dual of [375, 245, 54]-code) | [i] | ||
| 168 | Linear OA(9127, 375, F9, 52) (dual of [375, 248, 53]-code) | [i] | ||
| 169 | Linear OA(9124, 375, F9, 51) (dual of [375, 251, 52]-code) | [i] | ||
| 170 | Linear OA(975, 91, F9, 54) (dual of [91, 16, 55]-code) | [i] | ||
| 171 | Linear OA(959, 91, F9, 36) (dual of [91, 32, 37]-code) | [i] | ||
| 172 | Linear OA(957, 91, F9, 35) (dual of [91, 34, 36]-code) | [i] | ||
| 173 | Linear OA(955, 91, F9, 34) (dual of [91, 36, 35]-code) | [i] | ||
| 174 | Linear OA(946, 91, F9, 26) (dual of [91, 45, 27]-code) | [i] | ||
| 175 | Linear OA(942, 91, F9, 24) (dual of [91, 49, 25]-code) | [i] | ||
| 176 | Linear OA(935, 91, F9, 18) (dual of [91, 56, 19]-code) | [i] | ||
| 177 | Linear OA(933, 91, F9, 17) (dual of [91, 58, 18]-code) | [i] | ||
| 178 | Linear OA(931, 91, F9, 16) (dual of [91, 60, 17]-code) | [i] | ||
| 179 | Linear OA(929, 91, F9, 15) (dual of [91, 62, 16]-code) | [i] | ||
| 180 | Linear OA(927, 91, F9, 14) (dual of [91, 64, 15]-code) | [i] | ||
| 181 | Linear OA(988, 98, F9, 64) (dual of [98, 10, 65]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 182 | Linear OA(988, 99, F9, 64) (dual of [99, 11, 65]-code) | [i] | ||
| 183 | Linear OA(976, 92, F9, 55) (dual of [92, 16, 56]-code) | [i] | ||
| 184 | Linear OA(969, 92, F9, 46) (dual of [92, 23, 47]-code) | [i] | ||
| 185 | Linear OA(960, 92, F9, 37) (dual of [92, 32, 38]-code) | [i] | ||
| 186 | Linear OA(949, 92, F9, 28) (dual of [92, 43, 29]-code) | [i] | ||
| 187 | Linear OA(936, 92, F9, 19) (dual of [92, 56, 20]-code) | [i] | ||