Information on Result #736232
Linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), using generator matrices provided on Edel’s homepage
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(523, 54, F5, 11) (dual of [54, 31, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(523, 60, F5, 11) (dual of [60, 37, 12]-code) | [i] | ||
| 3 | Linear OA(5135, 78150, F5, 23) (dual of [78150, 78015, 24]-code) | [i] | Construction X with Cyclic Codes | |
| 4 | Linear OA(5121, 78150, F5, 21) (dual of [78150, 78029, 22]-code) | [i] | ||
| 5 | Linear OA(579, 78150, F5, 13) (dual of [78150, 78071, 14]-code) | [i] | ||
| 6 | Linear OA(5117, 15650, F5, 23) (dual of [15650, 15533, 24]-code) | [i] | ||
| 7 | Linear OA(5105, 15650, F5, 21) (dual of [15650, 15545, 22]-code) | [i] | ||
| 8 | Linear OA(569, 15650, F5, 13) (dual of [15650, 15581, 14]-code) | [i] | ||
| 9 | Linear OA(5139, 3150, F5, 33) (dual of [3150, 3011, 34]-code) | [i] | ||
| 10 | Linear OA(5129, 3150, F5, 31) (dual of [3150, 3021, 32]-code) | [i] | ||
| 11 | Linear OA(599, 3150, F5, 23) (dual of [3150, 3051, 24]-code) | [i] | ||
| 12 | Linear OA(589, 3150, F5, 21) (dual of [3150, 3061, 22]-code) | [i] | ||
| 13 | Linear OA(559, 3150, F5, 13) (dual of [3150, 3091, 14]-code) | [i] | ||
| 14 | Linear OA(5145, 650, F5, 43) (dual of [650, 505, 44]-code) | [i] | ||
| 15 | Linear OA(5137, 650, F5, 41) (dual of [650, 513, 42]-code) | [i] | ||
| 16 | Linear OA(5113, 650, F5, 33) (dual of [650, 537, 34]-code) | [i] | ||
| 17 | Linear OA(5105, 650, F5, 31) (dual of [650, 545, 32]-code) | [i] | ||
| 18 | Linear OA(581, 650, F5, 23) (dual of [650, 569, 24]-code) | [i] | ||
| 19 | Linear OA(573, 650, F5, 21) (dual of [650, 577, 22]-code) | [i] | ||
| 20 | Linear OA(549, 650, F5, 13) (dual of [650, 601, 14]-code) | [i] | ||
| 21 | Linear OA(5117, 15658, F5, 23) (dual of [15658, 15541, 24]-code) | [i] | ||
| 22 | Linear OA(5105, 15658, F5, 21) (dual of [15658, 15553, 22]-code) | [i] | ||
| 23 | Linear OA(569, 15658, F5, 13) (dual of [15658, 15589, 14]-code) | [i] | ||
| 24 | Linear OA(551, 150, F5, 18) (dual of [150, 99, 19]-code) | [i] | Construction XX with Cyclic Codes | |
| 25 | Linear OA(555, 154, F5, 19) (dual of [154, 99, 20]-code) | [i] | ||
| 26 | Linear OA(563, 150, F5, 23) (dual of [150, 87, 24]-code) | [i] | ||
| 27 | Linear OA(549, 652, F5, 13) (dual of [652, 603, 14]-code) | [i] | ||
| 28 | Linear OA(558, 653, F5, 16) (dual of [653, 595, 17]-code) | [i] | ||
| 29 | Linear OA(561, 652, F5, 17) (dual of [652, 591, 18]-code) | [i] | ||
| 30 | Linear OA(565, 652, F5, 18) (dual of [652, 587, 19]-code) | [i] | ||
| 31 | Linear OA(566, 657, F5, 18) (dual of [657, 591, 19]-code) | [i] | ||
| 32 | Linear OA(570, 657, F5, 19) (dual of [657, 587, 20]-code) | [i] | ||
| 33 | Linear OA(576, 663, F5, 20) (dual of [663, 587, 21]-code) | [i] | ||
| 34 | Linear OA(574, 657, F5, 20) (dual of [657, 583, 21]-code) | [i] | ||
| 35 | Linear OA(577, 668, F5, 20) (dual of [668, 591, 21]-code) | [i] | ||
| 36 | Linear OA(577, 664, F5, 21) (dual of [664, 587, 22]-code) | [i] | ||
| 37 | Linear OA(574, 653, F5, 21) (dual of [653, 579, 22]-code) | [i] | ||
| 38 | Linear OA(581, 664, F5, 22) (dual of [664, 583, 23]-code) | [i] | ||
| 39 | Linear OA(577, 652, F5, 22) (dual of [652, 575, 23]-code) | [i] | ||
| 40 | Linear OA(581, 652, F5, 23) (dual of [652, 571, 24]-code) | [i] | ||
| 41 | Linear OA(582, 657, F5, 23) (dual of [657, 575, 24]-code) | [i] | ||
| 42 | Linear OA(586, 657, F5, 24) (dual of [657, 571, 25]-code) | [i] | ||
| 43 | Linear OA(592, 663, F5, 25) (dual of [663, 571, 26]-code) | [i] | ||
| 44 | Linear OA(590, 657, F5, 25) (dual of [657, 567, 26]-code) | [i] | ||
| 45 | Linear OA(593, 668, F5, 25) (dual of [668, 575, 26]-code) | [i] | ||
| 46 | Linear OA(593, 664, F5, 26) (dual of [664, 571, 27]-code) | [i] | ||
| 47 | Linear OA(590, 653, F5, 26) (dual of [653, 563, 27]-code) | [i] | ||
| 48 | Linear OA(597, 664, F5, 27) (dual of [664, 567, 28]-code) | [i] | ||
| 49 | Linear OA(598, 657, F5, 28) (dual of [657, 559, 29]-code) | [i] | ||
| 50 | Linear OA(596, 654, F5, 28) (dual of [654, 558, 29]-code) | [i] | ||
| 51 | Linear OA(595, 652, F5, 28) (dual of [652, 557, 29]-code) | [i] | ||
| 52 | Linear OA(5100, 654, F5, 29) (dual of [654, 554, 30]-code) | [i] | ||
| 53 | Linear OA(599, 652, F5, 29) (dual of [652, 553, 30]-code) | [i] | ||
| 54 | Linear OA(5102, 660, F5, 29) (dual of [660, 558, 30]-code) | [i] | ||
| 55 | Linear OA(5100, 657, F5, 29) (dual of [657, 557, 30]-code) | [i] | ||
| 56 | Linear OA(5104, 654, F5, 30) (dual of [654, 550, 31]-code) | [i] | ||
| 57 | Linear OA(5103, 652, F5, 30) (dual of [652, 549, 31]-code) | [i] | ||
| 58 | Linear OA(5104, 657, F5, 30) (dual of [657, 553, 31]-code) | [i] | ||
| 59 | Linear OA(5107, 665, F5, 30) (dual of [665, 558, 31]-code) | [i] | ||
| 60 | Linear OA(5106, 663, F5, 30) (dual of [663, 557, 31]-code) | [i] | ||
| 61 | Linear OA(5109, 664, F5, 31) (dual of [664, 555, 32]-code) | [i] | ||
| 62 | Linear OA(5116, 675, F5, 32) (dual of [675, 559, 33]-code) | [i] | ||
| 63 | Linear OA(5113, 668, F5, 32) (dual of [668, 555, 33]-code) | [i] | ||
| 64 | Linear OA(5111, 662, F5, 32) (dual of [662, 551, 33]-code) | [i] | ||
| 65 | Linear OA(5114, 671, F5, 32) (dual of [671, 557, 33]-code) | [i] | ||
| 66 | Linear OA(5111, 664, F5, 32) (dual of [664, 553, 33]-code) | [i] | ||
| 67 | Linear OA(5112, 655, F5, 33) (dual of [655, 543, 34]-code) | [i] | ||
| 68 | Linear OA(5115, 664, F5, 33) (dual of [664, 549, 34]-code) | [i] | ||
| 69 | Linear OA(5116, 655, F5, 34) (dual of [655, 539, 35]-code) | [i] | ||
| 70 | Linear OA(5116, 657, F5, 34) (dual of [657, 541, 35]-code) | [i] | ||
| 71 | Linear OA(5120, 657, F5, 35) (dual of [657, 537, 36]-code) | [i] | ||
| 72 | Linear OA(5123, 664, F5, 36) (dual of [664, 541, 37]-code) | [i] | ||
| 73 | Linear OA(5120, 653, F5, 36) (dual of [653, 533, 37]-code) | [i] | ||
| 74 | Linear OA(5127, 664, F5, 37) (dual of [664, 537, 38]-code) | [i] | ||
| 75 | Linear OA(5123, 652, F5, 37) (dual of [652, 529, 38]-code) | [i] | ||
| 76 | Linear OA(5127, 652, F5, 38) (dual of [652, 525, 39]-code) | [i] | ||
| 77 | Linear OA(5128, 657, F5, 38) (dual of [657, 529, 39]-code) | [i] | ||
| 78 | Linear OA(5132, 657, F5, 39) (dual of [657, 525, 40]-code) | [i] | ||
| 79 | Linear OA(5138, 663, F5, 40) (dual of [663, 525, 41]-code) | [i] | ||
| 80 | Linear OA(5136, 657, F5, 40) (dual of [657, 521, 41]-code) | [i] | ||
| 81 | Linear OA(5139, 668, F5, 40) (dual of [668, 529, 41]-code) | [i] | ||
| 82 | Linear OA(5139, 664, F5, 41) (dual of [664, 525, 42]-code) | [i] | ||
| 83 | Linear OA(5136, 653, F5, 41) (dual of [653, 517, 42]-code) | [i] | ||
| 84 | Linear OA(5143, 664, F5, 42) (dual of [664, 521, 43]-code) | [i] | ||
| 85 | Linear OA(5139, 652, F5, 42) (dual of [652, 513, 43]-code) | [i] | ||
| 86 | Linear OA(5143, 652, F5, 43) (dual of [652, 509, 44]-code) | [i] | ||
| 87 | Linear OA(5144, 657, F5, 43) (dual of [657, 513, 44]-code) | [i] | ||
| 88 | Linear OA(5148, 657, F5, 44) (dual of [657, 509, 45]-code) | [i] | ||
| 89 | Linear OA(599, 649, F5, 29) (dual of [649, 550, 30]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 90 | Linear OA(595, 649, F5, 28) (dual of [649, 554, 29]-code) | [i] | ||
| 91 | Linear OA(591, 649, F5, 27) (dual of [649, 558, 28]-code) | [i] | ||
| 92 | Linear OA(551, 148, F5, 18) (dual of [148, 97, 19]-code) | [i] | ||
| 93 | Linear OA(548, 148, F5, 17) (dual of [148, 100, 18]-code) | [i] | ||
| 94 | Linear OA(5147, 15658, F5, 29) (dual of [15658, 15511, 30]-code) | [i] | ||
| 95 | Linear OA(5141, 15658, F5, 28) (dual of [15658, 15517, 29]-code) | [i] | ||
| 96 | Linear OA(5135, 15658, F5, 27) (dual of [15658, 15523, 28]-code) | [i] | ||
| 97 | Linear OA(5123, 15658, F5, 24) (dual of [15658, 15535, 25]-code) | [i] | ||
| 98 | Linear OA(5111, 15658, F5, 22) (dual of [15658, 15547, 23]-code) | [i] | ||
| 99 | Linear OA(599, 15658, F5, 19) (dual of [15658, 15559, 20]-code) | [i] | ||
| 100 | Linear OA(593, 15658, F5, 18) (dual of [15658, 15565, 19]-code) | [i] | ||
| 101 | Linear OA(587, 15658, F5, 17) (dual of [15658, 15571, 18]-code) | [i] | ||
| 102 | Linear OA(575, 15658, F5, 14) (dual of [15658, 15583, 15]-code) | [i] | ||
| 103 | Linear OA(563, 15658, F5, 12) (dual of [15658, 15595, 13]-code) | [i] | ||
| 104 | Linear OA(5149, 3158, F5, 35) (dual of [3158, 3009, 36]-code) | [i] | ||
| 105 | Linear OA(5144, 3158, F5, 34) (dual of [3158, 3014, 35]-code) | [i] | ||
| 106 | Linear OA(5139, 3158, F5, 33) (dual of [3158, 3019, 34]-code) | [i] | ||
| 107 | Linear OA(5134, 3158, F5, 32) (dual of [3158, 3024, 33]-code) | [i] | ||
| 108 | Linear OA(5129, 3158, F5, 30) (dual of [3158, 3029, 31]-code) | [i] | ||
| 109 | Linear OA(5124, 3158, F5, 29) (dual of [3158, 3034, 30]-code) | [i] | ||
| 110 | Linear OA(5119, 3158, F5, 28) (dual of [3158, 3039, 29]-code) | [i] | ||
| 111 | Linear OA(5114, 3158, F5, 27) (dual of [3158, 3044, 28]-code) | [i] | ||
| 112 | Linear OA(5109, 3158, F5, 25) (dual of [3158, 3049, 26]-code) | [i] | ||
| 113 | Linear OA(5104, 3158, F5, 24) (dual of [3158, 3054, 25]-code) | [i] | ||
| 114 | Linear OA(599, 3158, F5, 23) (dual of [3158, 3059, 24]-code) | [i] | ||
| 115 | Linear OA(594, 3158, F5, 22) (dual of [3158, 3064, 23]-code) | [i] | ||
| 116 | Linear OA(589, 3158, F5, 20) (dual of [3158, 3069, 21]-code) | [i] | ||
| 117 | Linear OA(584, 3158, F5, 19) (dual of [3158, 3074, 20]-code) | [i] | ||
| 118 | Linear OA(579, 3158, F5, 18) (dual of [3158, 3079, 19]-code) | [i] | ||
| 119 | Linear OA(574, 3158, F5, 17) (dual of [3158, 3084, 18]-code) | [i] | ||
| 120 | Linear OA(569, 3158, F5, 15) (dual of [3158, 3089, 16]-code) | [i] | ||
| 121 | Linear OA(564, 3158, F5, 14) (dual of [3158, 3094, 15]-code) | [i] | ||
| 122 | Linear OA(559, 3158, F5, 13) (dual of [3158, 3099, 14]-code) | [i] | ||
| 123 | Linear OA(593, 159, F5, 38) (dual of [159, 66, 39]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 124 | Linear OOA(58, 16, F5, 2, 5) (dual of [(16, 2), 24, 6]-NRT-code) | [i] | OOA Folding | |