Information on Result #701219
Linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-code), using the cyclic code C(A) with length 62 | 53−1, defining set A = {4,8,11,17}, and minimum distance d ≥ |{8,11,14,…,23}|+1 = 7 (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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5141, 390686, F5, 20) (dual of [390686, 390545, 21]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(5125, 78180, F5, 20) (dual of [78180, 78055, 21]-code) | [i] | ||
| 3 | Linear OA(5133, 15674, F5, 24) (dual of [15674, 15541, 25]-code) | [i] | ||
| 4 | Linear OA(5109, 15674, F5, 20) (dual of [15674, 15565, 21]-code) | [i] | ||
| 5 | Linear OA(5143, 3168, F5, 32) (dual of [3168, 3025, 33]-code) | [i] | ||
| 6 | Linear OA(5133, 3168, F5, 30) (dual of [3168, 3035, 31]-code) | [i] | ||
| 7 | Linear OA(5113, 3168, F5, 24) (dual of [3168, 3055, 25]-code) | [i] | ||
| 8 | Linear OA(593, 3168, F5, 20) (dual of [3168, 3075, 21]-code) | [i] | ||
| 9 | Linear OA(5149, 662, F5, 42) (dual of [662, 513, 43]-code) | [i] | ||
| 10 | Linear OA(5141, 662, F5, 40) (dual of [662, 521, 41]-code) | [i] | ||
| 11 | Linear OA(5125, 662, F5, 34) (dual of [662, 537, 35]-code) | [i] | ||
| 12 | Linear OA(5117, 662, F5, 32) (dual of [662, 545, 33]-code) | [i] | ||
| 13 | Linear OA(5109, 662, F5, 30) (dual of [662, 553, 31]-code) | [i] | ||
| 14 | Linear OA(593, 662, F5, 24) (dual of [662, 569, 25]-code) | [i] | ||
| 15 | Linear OA(577, 662, F5, 20) (dual of [662, 585, 21]-code) | [i] | ||
| 16 | Linear OA(5141, 670, F5, 38) (dual of [670, 529, 39]-code) | [i] | ||
| 17 | Linear OA(515, 65, F5, 7) (dual of [65, 50, 8]-code) | [i] | ✔ | |
| 18 | Linear OA(518, 68, F5, 8) (dual of [68, 50, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 19 | Linear OA(573, 663, F5, 19) (dual of [663, 590, 20]-code) | [i] | ||
| 20 | Linear OA(589, 675, F5, 23) (dual of [675, 586, 24]-code) | [i] | ||
| 21 | Linear OA(586, 664, F5, 23) (dual of [664, 578, 24]-code) | [i] | ||
| 22 | Linear OA(593, 675, F5, 24) (dual of [675, 582, 25]-code) | [i] | ||
| 23 | Linear OA(589, 663, F5, 24) (dual of [663, 574, 25]-code) | [i] | ||
| 24 | Linear OA(590, 666, F5, 24) (dual of [666, 576, 25]-code) | [i] | ||
| 25 | Linear OA(594, 668, F5, 25) (dual of [668, 574, 26]-code) | [i] | ||
| 26 | Linear OA(5104, 664, F5, 29) (dual of [664, 560, 30]-code) | [i] | ||
| 27 | Linear OA(5103, 662, F5, 29) (dual of [662, 559, 30]-code) | [i] | ||
| 28 | Linear OA(5107, 662, F5, 30) (dual of [662, 555, 31]-code) | [i] | ||
| 29 | Linear OA(5110, 670, F5, 30) (dual of [670, 560, 31]-code) | [i] | ||
| 30 | Linear OA(5108, 667, F5, 30) (dual of [667, 559, 31]-code) | [i] | ||
| 31 | Linear OA(5121, 677, F5, 33) (dual of [677, 556, 34]-code) | [i] | ||
| 32 | Linear OA(5122, 681, F5, 33) (dual of [681, 559, 34]-code) | [i] | ||
| 33 | Linear OA(5119, 674, F5, 33) (dual of [674, 555, 34]-code) | [i] | ||
| 34 | Linear OA(5125, 679, F5, 34) (dual of [679, 554, 35]-code) | [i] | ||
| 35 | Linear OA(5123, 673, F5, 34) (dual of [673, 550, 35]-code) | [i] | ||
| 36 | Linear OA(5126, 681, F5, 34) (dual of [681, 555, 35]-code) | [i] | ||
| 37 | Linear OA(5123, 674, F5, 34) (dual of [674, 551, 35]-code) | [i] | ||
| 38 | Linear OA(5129, 679, F5, 35) (dual of [679, 550, 36]-code) | [i] | ||
| 39 | Linear OA(5127, 673, F5, 35) (dual of [673, 546, 36]-code) | [i] | ||
| 40 | Linear OA(5124, 666, F5, 35) (dual of [666, 542, 36]-code) | [i] | ||
| 41 | Linear OA(5123, 663, F5, 35) (dual of [663, 540, 36]-code) | [i] | ||
| 42 | Linear OA(5126, 670, F5, 35) (dual of [670, 544, 36]-code) | [i] | ||
| 43 | Linear OA(5124, 667, F5, 35) (dual of [667, 543, 36]-code) | [i] | ||
| 44 | Linear OA(5137, 685, F5, 37) (dual of [685, 548, 38]-code) | [i] | ||
| 45 | Linear OA(5133, 677, F5, 37) (dual of [677, 544, 38]-code) | [i] | ||
| 46 | Linear OA(5131, 673, F5, 37) (dual of [673, 542, 38]-code) | [i] | ||
| 47 | Linear OA(5141, 687, F5, 38) (dual of [687, 546, 39]-code) | [i] | ||
| 48 | Linear OA(5137, 679, F5, 38) (dual of [679, 542, 39]-code) | [i] | ||
| 49 | Linear OA(5135, 675, F5, 38) (dual of [675, 540, 39]-code) | [i] | ||
| 50 | Linear OA(5132, 664, F5, 38) (dual of [664, 532, 39]-code) | [i] | ||
| 51 | Linear OA(5140, 684, F5, 38) (dual of [684, 544, 39]-code) | [i] | ||
| 52 | Linear OA(5142, 689, F5, 38) (dual of [689, 547, 39]-code) | [i] | ||
| 53 | Linear OA(5138, 681, F5, 38) (dual of [681, 543, 39]-code) | [i] | ||
| 54 | Linear OA(5144, 686, F5, 39) (dual of [686, 542, 40]-code) | [i] | ||
| 55 | Linear OA(5142, 682, F5, 39) (dual of [682, 540, 40]-code) | [i] | ||
| 56 | Linear OA(5139, 675, F5, 39) (dual of [675, 536, 40]-code) | [i] | ||
| 57 | Linear OA(5135, 663, F5, 39) (dual of [663, 528, 40]-code) | [i] | ||
| 58 | Linear OA(5136, 666, F5, 39) (dual of [666, 530, 40]-code) | [i] | ||
| 59 | Linear OA(5141, 679, F5, 39) (dual of [679, 538, 40]-code) | [i] | ||
| 60 | Linear OA(5146, 682, F5, 40) (dual of [682, 536, 41]-code) | [i] | ||
| 61 | Linear OA(5143, 675, F5, 40) (dual of [675, 532, 41]-code) | [i] | ||
| 62 | Linear OA(5140, 668, F5, 40) (dual of [668, 528, 41]-code) | [i] | ||
| 63 | Linear OA(5142, 672, F5, 40) (dual of [672, 530, 41]-code) | [i] | ||
| 64 | Linear OA(5148, 686, F5, 40) (dual of [686, 538, 41]-code) | [i] | ||
| 65 | Linear OA(5145, 679, F5, 40) (dual of [679, 534, 41]-code) | [i] | ||
| 66 | Linear OA(5150, 680, F5, 42) (dual of [680, 530, 43]-code) | [i] | ||
| 67 | Linear OA(5147, 673, F5, 42) (dual of [673, 526, 43]-code) | [i] | ||
| 68 | Linear OA(5148, 664, F5, 43) (dual of [664, 516, 44]-code) | [i] | ||
| 69 | Linear OA(5141, 390677, F5, 21) (dual of [390677, 390536, 22]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 70 | Linear OA(5133, 390685, F5, 19) (dual of [390685, 390552, 20]-code) | [i] | ||
| 71 | Linear OA(5125, 390685, F5, 18) (dual of [390685, 390560, 19]-code) | [i] | ||
| 72 | Linear OA(5125, 78172, F5, 21) (dual of [78172, 78047, 22]-code) | [i] | ||
| 73 | Linear OA(5146, 78179, F5, 24) (dual of [78179, 78033, 25]-code) | [i] | ||
| 74 | Linear OA(5139, 78179, F5, 23) (dual of [78179, 78040, 24]-code) | [i] | ||
| 75 | Linear OA(5118, 78179, F5, 19) (dual of [78179, 78061, 20]-code) | [i] | ||
| 76 | Linear OA(5111, 78179, F5, 18) (dual of [78179, 78068, 19]-code) | [i] | ||
| 77 | Linear OA(5133, 15667, F5, 26) (dual of [15667, 15534, 27]-code) | [i] | ||
| 78 | Linear OA(5109, 15667, F5, 21) (dual of [15667, 15558, 22]-code) | [i] | ||
| 79 | Linear OA(5145, 15673, F5, 28) (dual of [15673, 15528, 29]-code) | [i] | ||
| 80 | Linear OA(5133, 15673, F5, 25) (dual of [15673, 15540, 26]-code) | [i] | ||
| 81 | Linear OA(5127, 15673, F5, 24) (dual of [15673, 15546, 25]-code) | [i] | ||
| 82 | Linear OA(5121, 15673, F5, 23) (dual of [15673, 15552, 24]-code) | [i] | ||
| 83 | Linear OA(5103, 15673, F5, 19) (dual of [15673, 15570, 20]-code) | [i] | ||
| 84 | Linear OA(597, 15673, F5, 18) (dual of [15673, 15576, 19]-code) | [i] | ||
| 85 | Linear OA(5133, 3162, F5, 31) (dual of [3162, 3029, 32]-code) | [i] | ||
| 86 | Linear OA(5113, 3162, F5, 26) (dual of [3162, 3049, 27]-code) | [i] | ||
| 87 | Linear OA(593, 3162, F5, 21) (dual of [3162, 3069, 22]-code) | [i] | ||
| 88 | Linear OA(5148, 3167, F5, 34) (dual of [3167, 3019, 35]-code) | [i] | ||
| 89 | Linear OA(5143, 3167, F5, 33) (dual of [3167, 3024, 34]-code) | [i] | ||
| 90 | Linear OA(5128, 3167, F5, 29) (dual of [3167, 3039, 30]-code) | [i] | ||
| 91 | Linear OA(5123, 3167, F5, 28) (dual of [3167, 3044, 29]-code) | [i] | ||
| 92 | Linear OA(5113, 3167, F5, 25) (dual of [3167, 3054, 26]-code) | [i] | ||
| 93 | Linear OA(5108, 3167, F5, 24) (dual of [3167, 3059, 25]-code) | [i] | ||
| 94 | Linear OA(5103, 3167, F5, 23) (dual of [3167, 3064, 24]-code) | [i] | ||
| 95 | Linear OA(588, 3167, F5, 19) (dual of [3167, 3079, 20]-code) | [i] | ||
| 96 | Linear OA(583, 3167, F5, 18) (dual of [3167, 3084, 19]-code) | [i] | ||
| 97 | Linear OA(5139, 657, F5, 41) (dual of [657, 518, 42]-code) | [i] | ||
| 98 | Linear OA(5123, 657, F5, 36) (dual of [657, 534, 37]-code) | [i] | ||
| 99 | Linear OA(5107, 655, F5, 31) (dual of [655, 548, 32]-code) | [i] | ||
| 100 | Linear OA(593, 657, F5, 26) (dual of [657, 564, 27]-code) | [i] | ||
| 101 | Linear OA(577, 657, F5, 21) (dual of [657, 580, 22]-code) | [i] | ||
| 102 | Linear OA(5147, 661, F5, 43) (dual of [661, 514, 44]-code) | [i] | ||
| 103 | Linear OA(5139, 661, F5, 40) (dual of [661, 522, 41]-code) | [i] | ||
| 104 | Linear OA(5135, 661, F5, 39) (dual of [661, 526, 40]-code) | [i] | ||
| 105 | Linear OA(5131, 661, F5, 38) (dual of [661, 530, 39]-code) | [i] | ||
| 106 | Linear OA(5123, 661, F5, 35) (dual of [661, 538, 36]-code) | [i] | ||
| 107 | Linear OA(5119, 661, F5, 34) (dual of [661, 542, 35]-code) | [i] | ||
| 108 | Linear OA(5115, 659, F5, 33) (dual of [659, 544, 34]-code) | [i] | ||
| 109 | Linear OA(5107, 659, F5, 30) (dual of [659, 552, 31]-code) | [i] | ||
| 110 | Linear OA(5103, 659, F5, 29) (dual of [659, 556, 30]-code) | [i] | ||
| 111 | Linear OA(599, 659, F5, 28) (dual of [659, 560, 29]-code) | [i] | ||
| 112 | Linear OA(593, 661, F5, 25) (dual of [661, 568, 26]-code) | [i] | ||
| 113 | Linear OA(589, 661, F5, 24) (dual of [661, 572, 25]-code) | [i] | ||
| 114 | Linear OA(585, 661, F5, 23) (dual of [661, 576, 24]-code) | [i] | ||
| 115 | Linear OA(573, 661, F5, 19) (dual of [661, 588, 20]-code) | [i] | ||
| 116 | Linear OA(569, 661, F5, 18) (dual of [661, 592, 19]-code) | [i] | ||
| 117 | Linear OA(5140, 659, F5, 41) (dual of [659, 519, 42]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 118 | Linear OA(5124, 659, F5, 36) (dual of [659, 535, 37]-code) | [i] | ||
| 119 | Linear OA(5117, 662, F5, 33) (dual of [662, 545, 34]-code) | [i] | ||
| 120 | Linear OA(5108, 657, F5, 31) (dual of [657, 549, 32]-code) | [i] | ||
| 121 | Linear OA(5108, 661, F5, 30) (dual of [661, 553, 31]-code) | [i] | ||
| 122 | Linear OA(5104, 661, F5, 29) (dual of [661, 557, 30]-code) | [i] | ||
| 123 | Linear OA(5101, 662, F5, 28) (dual of [662, 561, 29]-code) | [i] | ||
| 124 | Linear OA(594, 659, F5, 26) (dual of [659, 565, 27]-code) | [i] | ||
| 125 | Linear OA(578, 659, F5, 21) (dual of [659, 581, 22]-code) | [i] | ||
| 126 | Linear OOA(512, 31, F5, 2, 6) (dual of [(31, 2), 50, 7]-NRT-code) | [i] | OOA Folding | |