Information on Result #2247306
Linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using 1 times truncation based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
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(742, 16849, F7, 9) (dual of [16849, 16807, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(749, 117691, F7, 9) (dual of [117691, 117642, 10]-code) | [i] | ||
| 3 | Linear OA(756, 823585, F7, 9) (dual of [823585, 823529, 10]-code) | [i] | ||
| 4 | Linear OA(763, 5764843, F7, 9) (dual of [5764843, 5764780, 10]-code) | [i] | ||
| 5 | Linear OA(742, 16854, F7, 9) (dual of [16854, 16812, 10]-code) | [i] | ||
| 6 | Linear OA(749, 117697, F7, 9) (dual of [117697, 117648, 10]-code) | [i] | ||
| 7 | Linear OA(756, 823592, F7, 9) (dual of [823592, 823536, 10]-code) | [i] | ||
| 8 | Linear OA(763, 5764851, F7, 9) (dual of [5764851, 5764788, 10]-code) | [i] | ||
| 9 | Linear OA(756, 65, F7, 38) (dual of [65, 9, 39]-code) | [i] | Juxtaposition | |
| 10 | Linear OA(755, 63, F7, 38) (dual of [63, 8, 39]-code) | [i] | ||
| 11 | Linear OA(763, 70, F7, 45) (dual of [70, 7, 46]-code) | [i] | ||
| 12 | Linear OOA(76, 30, F7, 2, 4) (dual of [(30, 2), 54, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 13 | Linear OOA(76, 30, F7, 3, 4) (dual of [(30, 3), 84, 5]-NRT-code) | [i] | ||
| 14 | Linear OA(756, 127, F7, 24) (dual of [127, 71, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 15 | Linear OA(759, 129, F7, 25) (dual of [129, 70, 26]-code) | [i] | ||
| 16 | Linear OA(788, 189, F7, 37) (dual of [189, 101, 38]-code) | [i] | ||
| 17 | Linear OA(791, 186, F7, 39) (dual of [186, 95, 40]-code) | [i] | ||
| 18 | Linear OA(7103, 189, F7, 44) (dual of [189, 86, 45]-code) | [i] | ||
| 19 | Linear OA(7106, 186, F7, 46) (dual of [186, 80, 47]-code) | [i] | ||
| 20 | Linear OA(785, 192, F7, 35) (dual of [192, 107, 36]-code) | [i] | Construction XX with Cyclic Codes | |
| 21 | Linear OA(792, 200, F7, 37) (dual of [200, 108, 38]-code) | [i] | ||
| 22 | Linear OA(790, 197, F7, 37) (dual of [197, 107, 38]-code) | [i] | ||
| 23 | Linear OA(791, 192, F7, 38) (dual of [192, 101, 39]-code) | [i] | ||
| 24 | Linear OA(796, 195, F7, 40) (dual of [195, 99, 41]-code) | [i] | ||
| 25 | Linear OA(7104, 208, F7, 41) (dual of [208, 104, 42]-code) | [i] | ||
| 26 | Linear OA(794, 189, F7, 40) (dual of [189, 95, 41]-code) | [i] | ||
| 27 | Linear OA(7101, 202, F7, 41) (dual of [202, 101, 42]-code) | [i] | ||
| 28 | Linear OA(7100, 192, F7, 42) (dual of [192, 92, 43]-code) | [i] | ||
| 29 | Linear OA(7110, 208, F7, 44) (dual of [208, 98, 45]-code) | [i] | ||
| 30 | Linear OA(7107, 200, F7, 44) (dual of [200, 93, 45]-code) | [i] | ||
| 31 | Linear OA(7105, 197, F7, 44) (dual of [197, 92, 45]-code) | [i] | ||
| 32 | Linear OA(7106, 192, F7, 45) (dual of [192, 86, 46]-code) | [i] | ||
| 33 | Linear OA(7109, 189, F7, 47) (dual of [189, 80, 48]-code) | [i] | ||
| 34 | Linear OA(737, 363, F7, 12) (dual of [363, 326, 13]-code) | [i] | ||
| 35 | Linear OA(743, 366, F7, 14) (dual of [366, 323, 15]-code) | [i] | ||
| 36 | Linear OA(746, 363, F7, 16) (dual of [363, 317, 17]-code) | [i] | ||
| 37 | Linear OA(749, 363, F7, 17) (dual of [363, 314, 18]-code) | [i] | ||
| 38 | Linear OA(752, 363, F7, 18) (dual of [363, 311, 19]-code) | [i] | ||
| 39 | Linear OA(755, 363, F7, 19) (dual of [363, 308, 20]-code) | [i] | ||
| 40 | Linear OA(761, 366, F7, 21) (dual of [366, 305, 22]-code) | [i] | ||
| 41 | Linear OA(768, 382, F7, 22) (dual of [382, 314, 23]-code) | [i] | ||
| 42 | Linear OA(771, 382, F7, 23) (dual of [382, 311, 24]-code) | [i] | ||
| 43 | Linear OA(774, 382, F7, 24) (dual of [382, 308, 25]-code) | [i] | ||
| 44 | Linear OA(764, 363, F7, 23) (dual of [363, 299, 24]-code) | [i] | ||
| 45 | Linear OA(767, 363, F7, 24) (dual of [363, 296, 25]-code) | [i] | ||
| 46 | Linear OA(770, 363, F7, 25) (dual of [363, 293, 26]-code) | [i] | ||
| 47 | Linear OA(780, 383, F7, 26) (dual of [383, 303, 27]-code) | [i] | ||
| 48 | Linear OA(783, 383, F7, 27) (dual of [383, 300, 28]-code) | [i] | ||
| 49 | Linear OA(783, 385, F7, 27) (dual of [385, 302, 28]-code) | [i] | ||
| 50 | Linear OA(773, 363, F7, 26) (dual of [363, 290, 27]-code) | [i] | ||
| 51 | Linear OA(786, 385, F7, 28) (dual of [385, 299, 29]-code) | [i] | ||
| 52 | Linear OA(789, 387, F7, 29) (dual of [387, 298, 30]-code) | [i] | ||
| 53 | Linear OA(797, 393, F7, 31) (dual of [393, 296, 32]-code) | [i] | ||
| 54 | Linear OA(7101, 394, F7, 32) (dual of [394, 293, 33]-code) | [i] | ||
| 55 | Linear OA(779, 366, F7, 28) (dual of [366, 287, 29]-code) | [i] | ||
| 56 | Linear OA(786, 382, F7, 29) (dual of [382, 296, 30]-code) | [i] | ||
| 57 | Linear OA(7100, 393, F7, 32) (dual of [393, 293, 33]-code) | [i] | ||
| 58 | Linear OA(7104, 394, F7, 33) (dual of [394, 290, 34]-code) | [i] | ||
| 59 | Linear OA(789, 382, F7, 30) (dual of [382, 293, 31]-code) | [i] | ||
| 60 | Linear OA(7104, 395, F7, 33) (dual of [395, 291, 34]-code) | [i] | ||
| 61 | Linear OA(7108, 397, F7, 34) (dual of [397, 289, 35]-code) | [i] | ||
| 62 | Linear OA(792, 382, F7, 31) (dual of [382, 290, 32]-code) | [i] | ||
| 63 | Linear OA(782, 363, F7, 30) (dual of [363, 281, 31]-code) | [i] | ||
| 64 | Linear OA(7107, 397, F7, 34) (dual of [397, 290, 35]-code) | [i] | ||
| 65 | Linear OA(7106, 394, F7, 34) (dual of [394, 288, 35]-code) | [i] | ||
| 66 | Linear OA(7110, 397, F7, 35) (dual of [397, 287, 36]-code) | [i] | ||
| 67 | Linear OA(785, 363, F7, 31) (dual of [363, 278, 32]-code) | [i] | ||
| 68 | Linear OA(7109, 396, F7, 35) (dual of [396, 287, 36]-code) | [i] | ||
| 69 | Linear OA(788, 363, F7, 32) (dual of [363, 275, 33]-code) | [i] | ||
| 70 | Linear OA(798, 383, F7, 33) (dual of [383, 285, 34]-code) | [i] | ||
| 71 | Linear OA(7110, 394, F7, 36) (dual of [394, 284, 37]-code) | [i] | ||
| 72 | Linear OA(7101, 383, F7, 34) (dual of [383, 282, 35]-code) | [i] | ||
| 73 | Linear OA(7101, 385, F7, 34) (dual of [385, 284, 35]-code) | [i] | ||
| 74 | Linear OA(791, 363, F7, 33) (dual of [363, 272, 34]-code) | [i] | ||
| 75 | Linear OA(7104, 385, F7, 35) (dual of [385, 281, 36]-code) | [i] | ||
| 76 | Linear OA(7107, 387, F7, 36) (dual of [387, 280, 37]-code) | [i] | ||
| 77 | Linear OA(797, 366, F7, 35) (dual of [366, 269, 36]-code) | [i] | ||
| 78 | Linear OA(7104, 382, F7, 36) (dual of [382, 278, 37]-code) | [i] | ||
| 79 | Linear OA(7107, 382, F7, 37) (dual of [382, 275, 38]-code) | [i] | ||
| 80 | Linear OA(7110, 382, F7, 38) (dual of [382, 272, 39]-code) | [i] | ||
| 81 | Linear OA(7100, 363, F7, 37) (dual of [363, 263, 38]-code) | [i] | ||
| 82 | Linear OA(7103, 363, F7, 38) (dual of [363, 260, 39]-code) | [i] | ||
| 83 | Linear OA(7106, 363, F7, 39) (dual of [363, 257, 40]-code) | [i] | ||
| 84 | Linear OA(7109, 363, F7, 40) (dual of [363, 254, 41]-code) | [i] | ||
| 85 | Linear OA(7103, 5764839, F7, 15) (dual of [5764839, 5764736, 16]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 86 | Linear OA(779, 5764839, F7, 11) (dual of [5764839, 5764760, 12]-code) | [i] | ||
| 87 | Linear OA(771, 5764839, F7, 10) (dual of [5764839, 5764768, 11]-code) | [i] | ||
| 88 | Linear OA(795, 5764843, F7, 13) (dual of [5764843, 5764748, 14]-code) | [i] | ||
| 89 | Linear OA(7105, 823577, F7, 17) (dual of [823577, 823472, 18]-code) | [i] | ||
| 90 | Linear OA(798, 823577, F7, 16) (dual of [823577, 823479, 17]-code) | [i] | ||
| 91 | Linear OA(791, 823577, F7, 15) (dual of [823577, 823486, 16]-code) | [i] | ||
| 92 | Linear OA(770, 823577, F7, 11) (dual of [823577, 823507, 12]-code) | [i] | ||
| 93 | Linear OA(763, 823577, F7, 10) (dual of [823577, 823514, 11]-code) | [i] | ||
| 94 | Linear OA(784, 823584, F7, 13) (dual of [823584, 823500, 14]-code) | [i] | ||
| 95 | Linear OA(797, 117679, F7, 18) (dual of [117679, 117582, 19]-code) | [i] | ||
| 96 | Linear OA(791, 117679, F7, 17) (dual of [117679, 117588, 18]-code) | [i] | ||
| 97 | Linear OA(785, 117679, F7, 16) (dual of [117679, 117594, 17]-code) | [i] | ||
| 98 | Linear OA(779, 117679, F7, 15) (dual of [117679, 117600, 16]-code) | [i] | ||
| 99 | Linear OA(761, 117679, F7, 11) (dual of [117679, 117618, 12]-code) | [i] | ||
| 100 | Linear OA(755, 117679, F7, 10) (dual of [117679, 117624, 11]-code) | [i] | ||
| 101 | Linear OA(7109, 117685, F7, 20) (dual of [117685, 117576, 21]-code) | [i] | ||
| 102 | Linear OA(773, 117685, F7, 13) (dual of [117685, 117612, 14]-code) | [i] | ||
| 103 | Linear OA(7107, 16833, F7, 24) (dual of [16833, 16726, 25]-code) | [i] | ||
| 104 | Linear OA(7102, 16833, F7, 23) (dual of [16833, 16731, 24]-code) | [i] | ||
| 105 | Linear OA(797, 16833, F7, 22) (dual of [16833, 16736, 23]-code) | [i] | ||
| 106 | Linear OA(782, 16833, F7, 18) (dual of [16833, 16751, 19]-code) | [i] | ||
| 107 | Linear OA(777, 16833, F7, 17) (dual of [16833, 16756, 18]-code) | [i] | ||
| 108 | Linear OA(772, 16833, F7, 16) (dual of [16833, 16761, 17]-code) | [i] | ||
| 109 | Linear OA(767, 16833, F7, 15) (dual of [16833, 16766, 16]-code) | [i] | ||
| 110 | Linear OA(752, 16833, F7, 11) (dual of [16833, 16781, 12]-code) | [i] | ||
| 111 | Linear OA(747, 16833, F7, 10) (dual of [16833, 16786, 11]-code) | [i] | ||
| 112 | Linear OA(792, 16838, F7, 20) (dual of [16838, 16746, 21]-code) | [i] | ||
| 113 | Linear OA(762, 16838, F7, 13) (dual of [16838, 16776, 14]-code) | [i] | ||
| 114 | Linear OA(7107, 2423, F7, 30) (dual of [2423, 2316, 31]-code) | [i] | ||
| 115 | Linear OA(7103, 2423, F7, 29) (dual of [2423, 2320, 30]-code) | [i] | ||
| 116 | Linear OA(791, 2423, F7, 25) (dual of [2423, 2332, 26]-code) | [i] | ||
| 117 | Linear OA(787, 2423, F7, 24) (dual of [2423, 2336, 25]-code) | [i] | ||
| 118 | Linear OA(783, 2423, F7, 23) (dual of [2423, 2340, 24]-code) | [i] | ||
| 119 | Linear OA(779, 2423, F7, 22) (dual of [2423, 2344, 23]-code) | [i] | ||
| 120 | Linear OA(767, 2423, F7, 18) (dual of [2423, 2356, 19]-code) | [i] | ||
| 121 | Linear OA(763, 2423, F7, 17) (dual of [2423, 2360, 18]-code) | [i] | ||
| 122 | Linear OA(759, 2423, F7, 16) (dual of [2423, 2364, 17]-code) | [i] | ||
| 123 | Linear OA(755, 2423, F7, 15) (dual of [2423, 2368, 16]-code) | [i] | ||
| 124 | Linear OA(799, 2427, F7, 27) (dual of [2427, 2328, 28]-code) | [i] | ||
| 125 | Linear OA(775, 2427, F7, 20) (dual of [2427, 2352, 21]-code) | [i] | ||
| 126 | Linear OA(7106, 361, F7, 39) (dual of [361, 255, 40]-code) | [i] | ||
| 127 | Linear OA(7103, 361, F7, 38) (dual of [361, 258, 39]-code) | [i] | ||
| 128 | Linear OA(7100, 361, F7, 37) (dual of [361, 261, 38]-code) | [i] | ||
| 129 | Linear OA(797, 361, F7, 36) (dual of [361, 264, 37]-code) | [i] | ||
| 130 | Linear OA(788, 361, F7, 32) (dual of [361, 273, 33]-code) | [i] | ||
| 131 | Linear OA(785, 361, F7, 31) (dual of [361, 276, 32]-code) | [i] | ||
| 132 | Linear OA(782, 361, F7, 30) (dual of [361, 279, 31]-code) | [i] | ||
| 133 | Linear OA(779, 361, F7, 29) (dual of [361, 282, 30]-code) | [i] | ||
| 134 | Linear OA(770, 361, F7, 25) (dual of [361, 291, 26]-code) | [i] | ||
| 135 | Linear OA(767, 361, F7, 24) (dual of [361, 294, 25]-code) | [i] | ||
| 136 | Linear OA(764, 361, F7, 23) (dual of [361, 297, 24]-code) | [i] | ||
| 137 | Linear OA(761, 361, F7, 22) (dual of [361, 300, 23]-code) | [i] | ||
| 138 | Linear OA(752, 361, F7, 18) (dual of [361, 309, 19]-code) | [i] | ||
| 139 | Linear OA(749, 361, F7, 17) (dual of [361, 312, 18]-code) | [i] | ||
| 140 | Linear OA(746, 361, F7, 16) (dual of [361, 315, 17]-code) | [i] | ||
| 141 | Linear OA(743, 361, F7, 15) (dual of [361, 318, 16]-code) | [i] | ||
| 142 | Linear OA(794, 364, F7, 34) (dual of [364, 270, 35]-code) | [i] | ||
| 143 | Linear OA(776, 364, F7, 27) (dual of [364, 288, 28]-code) | [i] | ||
| 144 | Linear OA(758, 364, F7, 20) (dual of [364, 306, 21]-code) | [i] | ||
| 145 | Linear OA(740, 364, F7, 13) (dual of [364, 324, 14]-code) | [i] | ||
| 146 | Linear OA(7100, 187, F7, 43) (dual of [187, 87, 44]-code) | [i] | ||
| 147 | Linear OA(785, 187, F7, 36) (dual of [187, 102, 37]-code) | [i] | ||
| 148 | Linear OA(7106, 190, F7, 45) (dual of [190, 84, 46]-code) | [i] | ||
| 149 | Linear OA(797, 190, F7, 41) (dual of [190, 93, 42]-code) | [i] | ||
| 150 | Linear OA(791, 190, F7, 38) (dual of [190, 99, 39]-code) | [i] | ||
| 151 | Linear OA(782, 190, F7, 34) (dual of [190, 108, 35]-code) | [i] | ||
| 152 | Linear OA(750, 128, F7, 20) (dual of [128, 78, 21]-code) | [i] | ||
| 153 | Linear OA(7103, 2434, F7, 27) (dual of [2434, 2331, 28]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 154 | Linear OA(7102, 2432, F7, 27) (dual of [2432, 2330, 28]-code) | [i] | ||
| 155 | Linear OA(7101, 2430, F7, 27) (dual of [2430, 2329, 28]-code) | [i] | ||
| 156 | Linear OA(777, 2430, F7, 20) (dual of [2430, 2353, 21]-code) | [i] | ||
| 157 | Linear OA(798, 371, F7, 34) (dual of [371, 273, 35]-code) | [i] | ||
| 158 | Linear OA(797, 369, F7, 34) (dual of [369, 272, 35]-code) | [i] | ||
| 159 | Linear OA(796, 367, F7, 34) (dual of [367, 271, 35]-code) | [i] | ||
| 160 | Linear OA(780, 371, F7, 27) (dual of [371, 291, 28]-code) | [i] | ||
| 161 | Linear OA(779, 369, F7, 27) (dual of [369, 290, 28]-code) | [i] | ||
| 162 | Linear OA(778, 367, F7, 27) (dual of [367, 289, 28]-code) | [i] | ||
| 163 | Linear OA(762, 371, F7, 20) (dual of [371, 309, 21]-code) | [i] | ||
| 164 | Linear OA(761, 369, F7, 20) (dual of [369, 308, 21]-code) | [i] | ||
| 165 | Linear OA(760, 367, F7, 20) (dual of [367, 307, 21]-code) | [i] | ||
| 166 | Linear OA(7109, 195, F7, 45) (dual of [195, 86, 46]-code) | [i] | ||
| 167 | Linear OA(7108, 193, F7, 45) (dual of [193, 85, 46]-code) | [i] | ||
| 168 | Linear OA(7100, 195, F7, 41) (dual of [195, 95, 42]-code) | [i] | ||
| 169 | Linear OA(799, 193, F7, 41) (dual of [193, 94, 42]-code) | [i] | ||
| 170 | Linear OA(794, 195, F7, 38) (dual of [195, 101, 39]-code) | [i] | ||
| 171 | Linear OA(793, 193, F7, 38) (dual of [193, 100, 39]-code) | [i] | ||
| 172 | Linear OA(787, 196, F7, 34) (dual of [196, 109, 35]-code) | [i] | ||
| 173 | Linear OOA(76, 21, F7, 2, 4) (dual of [(21, 2), 36, 5]-NRT-code) | [i] | OOA Folding | |
| 174 | Linear OOA(76, 21, F7, 3, 4) (dual of [(21, 3), 57, 5]-NRT-code) | [i] | OA Folding and Stacking | |