Information on Result #701169
Linear OA(57, 24, F5, 4) (dual of [24, 17, 5]-code), using the primitive cyclic code C(A) with length 24 = 52−1, defining set A = {1,3,4,6}, and minimum distance d ≥ |{3,4,5,6}|+1 = 5 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(514, 31, F5, 8) (dual of [31, 17, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(544, 651, F5, 12) (dual of [651, 607, 13]-code) | [i] | ||
| 3 | Linear OA(549, 656, F5, 13) (dual of [656, 607, 14]-code) | [i] | ||
| 4 | Linear OA(553, 656, F5, 14) (dual of [656, 603, 15]-code) | [i] | ||
| 5 | Linear OA(557, 656, F5, 15) (dual of [656, 599, 16]-code) | [i] | ||
| 6 | Linear OA(557, 652, F5, 16) (dual of [652, 595, 17]-code) | [i] | ||
| 7 | Linear OA(564, 663, F5, 17) (dual of [663, 599, 18]-code) | [i] | ||
| 8 | Linear OA(560, 651, F5, 17) (dual of [651, 591, 18]-code) | [i] | ||
| 9 | Linear OA(561, 653, F5, 17) (dual of [653, 592, 18]-code) | [i] | ||
| 10 | Linear OA(568, 663, F5, 18) (dual of [663, 595, 19]-code) | [i] | ||
| 11 | Linear OA(565, 656, F5, 18) (dual of [656, 591, 19]-code) | [i] | ||
| 12 | Linear OA(571, 662, F5, 19) (dual of [662, 591, 20]-code) | [i] | ||
| 13 | Linear OA(569, 656, F5, 19) (dual of [656, 587, 20]-code) | [i] | ||
| 14 | Linear OA(572, 664, F5, 19) (dual of [664, 592, 20]-code) | [i] | ||
| 15 | Linear OA(575, 662, F5, 20) (dual of [662, 587, 21]-code) | [i] | ||
| 16 | Linear OA(573, 656, F5, 20) (dual of [656, 583, 21]-code) | [i] | ||
| 17 | Linear OA(579, 670, F5, 21) (dual of [670, 591, 22]-code) | [i] | ||
| 18 | Linear OA(579, 670, F5, 21) (dual of [670, 591, 22]-code) | [i] | ||
| 19 | Linear OA(576, 667, F5, 20) (dual of [667, 591, 21]-code) | [i] | ||
| 20 | Linear OA(578, 667, F5, 21) (dual of [667, 589, 22]-code) | [i] | ||
| 21 | Linear OA(576, 663, F5, 21) (dual of [663, 587, 22]-code) | [i] | ||
| 22 | Linear OA(573, 652, F5, 21) (dual of [652, 579, 22]-code) | [i] | ||
| 23 | Linear OA(580, 663, F5, 22) (dual of [663, 583, 23]-code) | [i] | ||
| 24 | Linear OA(576, 651, F5, 22) (dual of [651, 575, 23]-code) | [i] | ||
| 25 | Linear OA(577, 653, F5, 22) (dual of [653, 576, 23]-code) | [i] | ||
| 26 | Linear OA(584, 663, F5, 23) (dual of [663, 579, 24]-code) | [i] | ||
| 27 | Linear OA(581, 656, F5, 23) (dual of [656, 575, 24]-code) | [i] | ||
| 28 | Linear OA(587, 662, F5, 24) (dual of [662, 575, 25]-code) | [i] | ||
| 29 | Linear OA(585, 656, F5, 24) (dual of [656, 571, 25]-code) | [i] | ||
| 30 | Linear OA(588, 664, F5, 24) (dual of [664, 576, 25]-code) | [i] | ||
| 31 | Linear OA(597, 672, F5, 26) (dual of [672, 575, 27]-code) | [i] | ||
| 32 | Linear OA(597, 673, F5, 26) (dual of [673, 576, 27]-code) | [i] | ||
| 33 | Linear OA(591, 662, F5, 25) (dual of [662, 571, 26]-code) | [i] | ||
| 34 | Linear OA(589, 656, F5, 25) (dual of [656, 567, 26]-code) | [i] | ||
| 35 | Linear OA(595, 670, F5, 26) (dual of [670, 575, 27]-code) | [i] | ||
| 36 | Linear OA(595, 670, F5, 26) (dual of [670, 575, 27]-code) | [i] | ||
| 37 | Linear OA(592, 667, F5, 25) (dual of [667, 575, 26]-code) | [i] | ||
| 38 | Linear OA(594, 667, F5, 26) (dual of [667, 573, 27]-code) | [i] | ||
| 39 | Linear OA(592, 663, F5, 26) (dual of [663, 571, 27]-code) | [i] | ||
| 40 | Linear OA(589, 652, F5, 26) (dual of [652, 563, 27]-code) | [i] | ||
| 41 | Linear OA(596, 663, F5, 27) (dual of [663, 567, 28]-code) | [i] | ||
| 42 | Linear OA(5100, 663, F5, 28) (dual of [663, 563, 29]-code) | [i] | ||
| 43 | Linear OA(5115, 678, F5, 31) (dual of [678, 563, 32]-code) | [i] | ||
| 44 | Linear OA(5114, 675, F5, 31) (dual of [675, 561, 32]-code) | [i] | ||
| 45 | Linear OA(5119, 679, F5, 32) (dual of [679, 560, 33]-code) | [i] | ||
| 46 | Linear OA(5118, 677, F5, 32) (dual of [677, 559, 33]-code) | [i] | ||
| 47 | Linear OA(5116, 673, F5, 32) (dual of [673, 557, 33]-code) | [i] | ||
| 48 | Linear OA(5122, 677, F5, 33) (dual of [677, 555, 34]-code) | [i] | ||
| 49 | Linear OA(5120, 673, F5, 33) (dual of [673, 553, 34]-code) | [i] | ||
| 50 | Linear OA(5111, 670, F5, 31) (dual of [670, 559, 32]-code) | [i] | ||
| 51 | Linear OA(5111, 670, F5, 31) (dual of [670, 559, 32]-code) | [i] | ||
| 52 | Linear OA(5110, 667, F5, 31) (dual of [667, 557, 32]-code) | [i] | ||
| 53 | Linear OA(5108, 663, F5, 31) (dual of [663, 555, 32]-code) | [i] | ||
| 54 | Linear OA(5115, 674, F5, 32) (dual of [674, 559, 33]-code) | [i] | ||
| 55 | Linear OA(5114, 671, F5, 32) (dual of [671, 557, 33]-code) | [i] | ||
| 56 | Linear OA(5122, 681, F5, 33) (dual of [681, 559, 34]-code) | [i] | ||
| 57 | Linear OA(5121, 678, F5, 33) (dual of [678, 557, 34]-code) | [i] | ||
| 58 | Linear OA(5106, 649, F5, 32) (dual of [649, 543, 33]-code) | [i] | ||
| 59 | Linear OA(5126, 681, F5, 34) (dual of [681, 555, 35]-code) | [i] | ||
| 60 | Linear OA(5134, 684, F5, 36) (dual of [684, 550, 37]-code) | [i] | ||
| 61 | Linear OA(5111, 654, F5, 33) (dual of [654, 543, 34]-code) | [i] | ||
| 62 | Linear OA(5132, 683, F5, 36) (dual of [683, 551, 37]-code) | [i] | ||
| 63 | Linear OA(5131, 679, F5, 36) (dual of [679, 548, 37]-code) | [i] | ||
| 64 | Linear OA(5130, 677, F5, 36) (dual of [677, 547, 37]-code) | [i] | ||
| 65 | Linear OA(5128, 673, F5, 36) (dual of [673, 545, 37]-code) | [i] | ||
| 66 | Linear OA(5138, 684, F5, 37) (dual of [684, 546, 38]-code) | [i] | ||
| 67 | Linear OA(5115, 656, F5, 34) (dual of [656, 541, 35]-code) | [i] | ||
| 68 | Linear OA(5128, 675, F5, 36) (dual of [675, 547, 37]-code) | [i] | ||
| 69 | Linear OA(5127, 672, F5, 36) (dual of [672, 545, 37]-code) | [i] | ||
| 70 | Linear OA(5136, 683, F5, 37) (dual of [683, 547, 38]-code) | [i] | ||
| 71 | Linear OA(5134, 677, F5, 37) (dual of [677, 543, 38]-code) | [i] | ||
| 72 | Linear OA(5132, 673, F5, 37) (dual of [673, 541, 38]-code) | [i] | ||
| 73 | Linear OA(5122, 664, F5, 35) (dual of [664, 542, 36]-code) | [i] | ||
| 74 | Linear OA(5119, 656, F5, 35) (dual of [656, 537, 36]-code) | [i] | ||
| 75 | Linear OA(5121, 662, F5, 35) (dual of [662, 541, 36]-code) | [i] | ||
| 76 | Linear OA(5140, 683, F5, 38) (dual of [683, 543, 39]-code) | [i] | ||
| 77 | Linear OA(5136, 673, F5, 38) (dual of [673, 537, 39]-code) | [i] | ||
| 78 | Linear OA(5124, 667, F5, 36) (dual of [667, 543, 37]-code) | [i] | ||
| 79 | Linear OA(5122, 663, F5, 36) (dual of [663, 541, 37]-code) | [i] | ||
| 80 | Linear OA(5119, 652, F5, 36) (dual of [652, 533, 37]-code) | [i] | ||
| 81 | Linear OA(5144, 683, F5, 39) (dual of [683, 539, 40]-code) | [i] | ||
| 82 | Linear OA(5138, 681, F5, 38) (dual of [681, 543, 39]-code) | [i] | ||
| 83 | Linear OA(5136, 677, F5, 38) (dual of [677, 541, 39]-code) | [i] | ||
| 84 | Linear OA(5126, 663, F5, 37) (dual of [663, 537, 38]-code) | [i] | ||
| 85 | Linear OA(5142, 682, F5, 39) (dual of [682, 540, 40]-code) | [i] | ||
| 86 | Linear OA(5141, 678, F5, 39) (dual of [678, 537, 40]-code) | [i] | ||
| 87 | Linear OA(5148, 683, F5, 40) (dual of [683, 535, 41]-code) | [i] | ||
| 88 | Linear OA(5122, 651, F5, 37) (dual of [651, 529, 38]-code) | [i] | ||
| 89 | Linear OA(5147, 679, F5, 40) (dual of [679, 532, 41]-code) | [i] | ||
| 90 | Linear OA(5123, 653, F5, 37) (dual of [653, 530, 38]-code) | [i] | ||
| 91 | Linear OA(5140, 677, F5, 39) (dual of [677, 537, 40]-code) | [i] | ||
| 92 | Linear OA(5130, 663, F5, 38) (dual of [663, 533, 39]-code) | [i] | ||
| 93 | Linear OA(5146, 682, F5, 40) (dual of [682, 536, 41]-code) | [i] | ||
| 94 | Linear OA(5145, 678, F5, 40) (dual of [678, 533, 41]-code) | [i] | ||
| 95 | Linear OA(5127, 656, F5, 38) (dual of [656, 529, 39]-code) | [i] | ||
| 96 | Linear OA(5148, 683, F5, 41) (dual of [683, 535, 42]-code) | [i] | ||
| 97 | Linear OA(5144, 673, F5, 41) (dual of [673, 529, 42]-code) | [i] | ||
| 98 | Linear OA(5144, 677, F5, 40) (dual of [677, 533, 41]-code) | [i] | ||
| 99 | Linear OA(5133, 662, F5, 39) (dual of [662, 529, 40]-code) | [i] | ||
| 100 | Linear OA(5131, 656, F5, 39) (dual of [656, 525, 40]-code) | [i] | ||
| 101 | Linear OA(5150, 677, F5, 42) (dual of [677, 527, 43]-code) | [i] | ||
| 102 | Linear OA(5134, 664, F5, 39) (dual of [664, 530, 40]-code) | [i] | ||
| 103 | Linear OA(5145, 678, F5, 41) (dual of [678, 533, 42]-code) | [i] | ||
| 104 | Linear OA(5148, 673, F5, 42) (dual of [673, 525, 43]-code) | [i] | ||
| 105 | Linear OA(5143, 673, F5, 41) (dual of [673, 530, 42]-code) | [i] | ||
| 106 | Linear OA(5150, 680, F5, 42) (dual of [680, 530, 43]-code) | [i] | ||
| 107 | Linear OA(5149, 678, F5, 42) (dual of [678, 529, 43]-code) | [i] | ||
| 108 | Linear OA(5148, 675, F5, 42) (dual of [675, 527, 43]-code) | [i] | ||
| 109 | Linear OA(5147, 672, F5, 42) (dual of [672, 525, 43]-code) | [i] | ||
| 110 | Linear OA(5137, 662, F5, 40) (dual of [662, 525, 41]-code) | [i] | ||
| 111 | Linear OA(5135, 656, F5, 40) (dual of [656, 521, 41]-code) | [i] | ||
| 112 | Linear OA(5141, 670, F5, 41) (dual of [670, 529, 42]-code) | [i] | ||
| 113 | Linear OA(5141, 670, F5, 41) (dual of [670, 529, 42]-code) | [i] | ||
| 114 | Linear OA(5138, 667, F5, 40) (dual of [667, 529, 41]-code) | [i] | ||
| 115 | Linear OA(5140, 667, F5, 41) (dual of [667, 527, 42]-code) | [i] | ||
| 116 | Linear OA(5148, 677, F5, 42) (dual of [677, 529, 43]-code) | [i] | ||
| 117 | Linear OA(5147, 675, F5, 42) (dual of [675, 528, 43]-code) | [i] | ||
| 118 | Linear OA(5138, 663, F5, 41) (dual of [663, 525, 42]-code) | [i] | ||
| 119 | Linear OA(5135, 652, F5, 41) (dual of [652, 517, 42]-code) | [i] | ||
| 120 | Linear OA(5142, 663, F5, 42) (dual of [663, 521, 43]-code) | [i] | ||
| 121 | Linear OA(5138, 651, F5, 42) (dual of [651, 513, 43]-code) | [i] | ||
| 122 | Linear OA(5139, 653, F5, 42) (dual of [653, 514, 43]-code) | [i] | ||
| 123 | Linear OA(5146, 663, F5, 43) (dual of [663, 517, 44]-code) | [i] | ||
| 124 | Linear OA(5143, 656, F5, 43) (dual of [656, 513, 44]-code) | [i] | ||
| 125 | Linear OA(5149, 662, F5, 44) (dual of [662, 513, 45]-code) | [i] | ||
| 126 | Linear OA(5147, 656, F5, 44) (dual of [656, 509, 45]-code) | [i] | ||
| 127 | Linear OA(5150, 664, F5, 44) (dual of [664, 514, 45]-code) | [i] | ||
| 128 | Linear OA(5146, 652, F5, 42) (dual of [652, 506, 43]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 129 | Linear OA(5138, 652, F5, 40) (dual of [652, 514, 41]-code) | [i] | ||
| 130 | Linear OA(5114, 652, F5, 32) (dual of [652, 538, 33]-code) | [i] | ||
| 131 | Linear OA(5106, 652, F5, 30) (dual of [652, 546, 31]-code) | [i] | ||
| 132 | Linear OA(582, 652, F5, 22) (dual of [652, 570, 23]-code) | [i] | ||
| 133 | Linear OA(574, 652, F5, 20) (dual of [652, 578, 21]-code) | [i] | ||
| 134 | Linear OA(5150, 648, F5, 46) (dual of [648, 498, 47]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 135 | Linear OA(5146, 648, F5, 44) (dual of [648, 502, 45]-code) | [i] | ||
| 136 | Linear OA(5142, 648, F5, 43) (dual of [648, 506, 44]-code) | [i] | ||
| 137 | Linear OA(5138, 648, F5, 42) (dual of [648, 510, 43]-code) | [i] | ||
| 138 | Linear OA(5134, 648, F5, 41) (dual of [648, 514, 42]-code) | [i] | ||
| 139 | Linear OA(5130, 648, F5, 39) (dual of [648, 518, 40]-code) | [i] | ||
| 140 | Linear OA(5126, 648, F5, 38) (dual of [648, 522, 39]-code) | [i] | ||
| 141 | Linear OA(5122, 648, F5, 37) (dual of [648, 526, 38]-code) | [i] | ||
| 142 | Linear OA(5118, 648, F5, 36) (dual of [648, 530, 37]-code) | [i] | ||
| 143 | Linear OA(5114, 648, F5, 34) (dual of [648, 534, 35]-code) | [i] | ||
| 144 | Linear OA(5110, 648, F5, 33) (dual of [648, 538, 34]-code) | [i] | ||
| 145 | Linear OA(5106, 648, F5, 32) (dual of [648, 542, 33]-code) | [i] | ||
| 146 | Linear OA(588, 648, F5, 26) (dual of [648, 560, 27]-code) | [i] | ||
| 147 | Linear OA(584, 648, F5, 24) (dual of [648, 564, 25]-code) | [i] | ||
| 148 | Linear OA(580, 648, F5, 23) (dual of [648, 568, 24]-code) | [i] | ||
| 149 | Linear OA(576, 648, F5, 22) (dual of [648, 572, 23]-code) | [i] | ||
| 150 | Linear OA(572, 648, F5, 21) (dual of [648, 576, 22]-code) | [i] | ||
| 151 | Linear OA(568, 648, F5, 19) (dual of [648, 580, 20]-code) | [i] | ||
| 152 | Linear OA(564, 648, F5, 18) (dual of [648, 584, 19]-code) | [i] | ||
| 153 | Linear OA(560, 648, F5, 17) (dual of [648, 588, 18]-code) | [i] | ||
| 154 | Linear OA(556, 648, F5, 16) (dual of [648, 592, 17]-code) | [i] | ||
| 155 | Linear OA(552, 648, F5, 14) (dual of [648, 596, 15]-code) | [i] | ||
| 156 | Linear OA(548, 648, F5, 13) (dual of [648, 600, 14]-code) | [i] | ||
| 157 | Linear OA(544, 648, F5, 12) (dual of [648, 604, 13]-code) | [i] | ||
| 158 | Linear OA(5147, 650, F5, 44) (dual of [650, 503, 45]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 159 | Linear OA(5143, 650, F5, 43) (dual of [650, 507, 44]-code) | [i] | ||
| 160 | Linear OA(5139, 650, F5, 42) (dual of [650, 511, 43]-code) | [i] | ||
| 161 | Linear OA(5136, 651, F5, 41) (dual of [651, 515, 42]-code) | [i] | ||
| 162 | Linear OA(5131, 650, F5, 39) (dual of [650, 519, 40]-code) | [i] | ||
| 163 | Linear OA(5127, 650, F5, 38) (dual of [650, 523, 39]-code) | [i] | ||
| 164 | Linear OA(5123, 650, F5, 37) (dual of [650, 527, 38]-code) | [i] | ||
| 165 | Linear OA(5120, 651, F5, 36) (dual of [651, 531, 37]-code) | [i] | ||
| 166 | Linear OA(5115, 650, F5, 34) (dual of [650, 535, 35]-code) | [i] | ||
| 167 | Linear OA(5111, 650, F5, 33) (dual of [650, 539, 34]-code) | [i] | ||
| 168 | Linear OA(5107, 650, F5, 32) (dual of [650, 543, 33]-code) | [i] | ||
| 169 | Linear OA(5106, 653, F5, 31) (dual of [653, 547, 32]-code) | [i] | ||
| 170 | Linear OA(590, 651, F5, 26) (dual of [651, 561, 27]-code) | [i] | ||
| 171 | Linear OA(585, 650, F5, 24) (dual of [650, 565, 25]-code) | [i] | ||
| 172 | Linear OA(577, 650, F5, 22) (dual of [650, 573, 23]-code) | [i] | ||
| 173 | Linear OA(569, 650, F5, 19) (dual of [650, 581, 20]-code) | [i] | ||
| 174 | Linear OA(565, 650, F5, 18) (dual of [650, 585, 19]-code) | [i] | ||
| 175 | Linear OA(561, 650, F5, 17) (dual of [650, 589, 18]-code) | [i] | ||
| 176 | Linear OA(558, 651, F5, 16) (dual of [651, 593, 17]-code) | [i] | ||
| 177 | Linear OA(553, 650, F5, 14) (dual of [650, 597, 15]-code) | [i] | ||