Information on Result #606515
Linear OA(6413, 64, F64, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using Reed–Solomon code RS(51,64)
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2117, 273, F2, 27) (dual of [273, 156, 28]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(478, 156, F4, 27) (dual of [156, 78, 28]-code) | [i] | ||
| 3 | Linear OA(477, 152, F4, 27) (dual of [152, 75, 28]-code) | [i] | ||
| 4 | Linear OA(476, 148, F4, 27) (dual of [148, 72, 28]-code) | [i] | ||
| 5 | Linear OA(475, 144, F4, 27) (dual of [144, 69, 28]-code) | [i] | ||
| 6 | Linear OA(474, 140, F4, 27) (dual of [140, 66, 28]-code) | [i] | ||
| 7 | Linear OA(465, 104, F4, 27) (dual of [104, 39, 28]-code) | [i] | ||
| 8 | Linear OA(491, 130, F4, 41) (dual of [130, 39, 42]-code) | [i] | ||
| 9 | Linear OA(489, 125, F4, 41) (dual of [125, 36, 42]-code) | [i] | ||
| 10 | Linear OA(487, 120, F4, 41) (dual of [120, 33, 42]-code) | [i] | ||
| 11 | Linear OA(4108, 138, F4, 55) (dual of [138, 30, 56]-code) | [i] | ||
| 12 | Linear OA(4105, 132, F4, 55) (dual of [132, 27, 56]-code) | [i] | ||
| 13 | Linear OA(4102, 126, F4, 55) (dual of [126, 24, 56]-code) | [i] | ||
| 14 | Linear OA(499, 120, F4, 55) (dual of [120, 21, 56]-code) | [i] | ||
| 15 | Linear OA(496, 114, F4, 55) (dual of [114, 18, 56]-code) | [i] | ||
| 16 | Linear OA(493, 108, F4, 55) (dual of [108, 15, 56]-code) | [i] | ||
| 17 | Linear OA(866, 80, F8, 41) (dual of [80, 14, 42]-code) | [i] | ||
| 18 | Linear OA(880, 90, F8, 55) (dual of [90, 10, 56]-code) | [i] | ||
| 19 | Linear OA(877, 85, F8, 55) (dual of [85, 8, 56]-code) | [i] | ||
| 20 | Linear OA(894, 102, F8, 69) (dual of [102, 8, 70]-code) | [i] | ||
| 21 | Linear OA(890, 96, F8, 69) (dual of [96, 6, 70]-code) | [i] | ||
| 22 | Linear OA(8106, 112, F8, 83) (dual of [112, 6, 84]-code) | [i] | ||
| 23 | Linear OA(8122, 128, F8, 97) (dual of [128, 6, 98]-code) | [i] | ||
| 24 | Linear OOA(4139, 80, F4, 2, 83) (dual of [(80, 2), 21, 84]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 25 | Linear OOA(4134, 76, F4, 2, 83) (dual of [(76, 2), 18, 84]-NRT-code) | [i] | ||
| 26 | Linear OOA(4129, 72, F4, 2, 83) (dual of [(72, 2), 15, 84]-NRT-code) | [i] | ||
| 27 | Linear OOA(4165, 90, F4, 2, 111) (dual of [(90, 2), 15, 112]-NRT-code) | [i] | ||
| 28 | Linear OOA(4158, 85, F4, 2, 111) (dual of [(85, 2), 12, 112]-NRT-code) | [i] | ||
| 29 | Linear OOA(4151, 80, F4, 2, 111) (dual of [(80, 2), 9, 112]-NRT-code) | [i] | ||
| 30 | Linear OOA(2174, 96, F2, 3, 55) (dual of [(96, 3), 114, 56]-NRT-code) | [i] | ||
| 31 | Linear OOA(2171, 93, F2, 3, 55) (dual of [(93, 3), 108, 56]-NRT-code) | [i] | ||
| 32 | Linear OOA(2168, 90, F2, 3, 55) (dual of [(90, 3), 102, 56]-NRT-code) | [i] | ||
| 33 | Linear OOA(2165, 87, F2, 3, 55) (dual of [(87, 3), 96, 56]-NRT-code) | [i] | ||
| 34 | Linear OOA(2162, 84, F2, 3, 55) (dual of [(84, 3), 90, 56]-NRT-code) | [i] | ||
| 35 | Linear OOA(2159, 81, F2, 3, 55) (dual of [(81, 3), 84, 56]-NRT-code) | [i] | ||
| 36 | Linear OOA(2156, 78, F2, 3, 55) (dual of [(78, 3), 78, 56]-NRT-code) | [i] | ||
| 37 | Linear OOA(2153, 75, F2, 3, 55) (dual of [(75, 3), 72, 56]-NRT-code) | [i] | ||
| 38 | Linear OOA(2150, 72, F2, 3, 55) (dual of [(72, 3), 66, 56]-NRT-code) | [i] | ||
| 39 | Linear OOA(2258, 90, F2, 4, 97) (dual of [(90, 4), 102, 98]-NRT-code) | [i] | ||
| 40 | Linear OOA(2252, 87, F2, 4, 97) (dual of [(87, 4), 96, 98]-NRT-code) | [i] | ||
| 41 | Linear OOA(2246, 84, F2, 4, 97) (dual of [(84, 4), 90, 98]-NRT-code) | [i] | ||
| 42 | Linear OOA(2240, 81, F2, 4, 97) (dual of [(81, 4), 84, 98]-NRT-code) | [i] | ||
| 43 | Linear OOA(2234, 78, F2, 4, 97) (dual of [(78, 4), 78, 98]-NRT-code) | [i] | ||
| 44 | Linear OOA(2228, 75, F2, 4, 97) (dual of [(75, 4), 72, 98]-NRT-code) | [i] | ||
| 45 | Linear OOA(2222, 72, F2, 4, 97) (dual of [(72, 4), 66, 98]-NRT-code) | [i] | ||
| 46 | Linear OOA(2216, 69, F2, 4, 97) (dual of [(69, 4), 60, 98]-NRT-code) | [i] | ||
| 47 | Linear OOA(2210, 66, F2, 4, 97) (dual of [(66, 4), 54, 98]-NRT-code) | [i] | ||
| 48 | Linear OOA(2204, 63, F2, 4, 97) (dual of [(63, 4), 48, 98]-NRT-code) | [i] | ||
| 49 | Linear OOA(2198, 60, F2, 4, 97) (dual of [(60, 4), 42, 98]-NRT-code) | [i] | ||
| 50 | Linear OOA(2192, 57, F2, 4, 97) (dual of [(57, 4), 36, 98]-NRT-code) | [i] | ||
| 51 | Linear OA(6491, 203, F64, 71) (dual of [203, 112, 72]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 52 | Linear OA(6490, 203, F64, 70) (dual of [203, 113, 71]-code) | [i] | ||
| 53 | Linear OA(6489, 203, F64, 69) (dual of [203, 114, 70]-code) | [i] | ||
| 54 | Linear OA(6488, 203, F64, 68) (dual of [203, 115, 69]-code) | [i] | ||
| 55 | Linear OA(6487, 203, F64, 67) (dual of [203, 116, 68]-code) | [i] | ||
| 56 | Linear OA(6486, 203, F64, 66) (dual of [203, 117, 67]-code) | [i] | ||
| 57 | Linear OA(6485, 203, F64, 65) (dual of [203, 118, 66]-code) | [i] | ||
| 58 | Linear OA(6484, 203, F64, 64) (dual of [203, 119, 65]-code) | [i] | ||
| 59 | Linear OA(6483, 203, F64, 63) (dual of [203, 120, 64]-code) | [i] | ||
| 60 | Linear OA(6482, 203, F64, 62) (dual of [203, 121, 63]-code) | [i] | ||
| 61 | Linear OA(6481, 203, F64, 61) (dual of [203, 122, 62]-code) | [i] | ||
| 62 | Linear OA(6480, 203, F64, 60) (dual of [203, 123, 61]-code) | [i] | ||
| 63 | Linear OA(6479, 203, F64, 59) (dual of [203, 124, 60]-code) | [i] | ||
| 64 | Linear OA(6478, 203, F64, 58) (dual of [203, 125, 59]-code) | [i] | ||
| 65 | Linear OA(6477, 203, F64, 57) (dual of [203, 126, 58]-code) | [i] | ||
| 66 | Linear OA(6476, 203, F64, 56) (dual of [203, 127, 57]-code) | [i] | ||
| 67 | Linear OA(6475, 203, F64, 55) (dual of [203, 128, 56]-code) | [i] | ||
| 68 | Linear OA(6474, 203, F64, 54) (dual of [203, 129, 55]-code) | [i] | ||
| 69 | Linear OA(6473, 203, F64, 53) (dual of [203, 130, 54]-code) | [i] | ||
| 70 | Linear OA(6472, 203, F64, 52) (dual of [203, 131, 53]-code) | [i] | ||
| 71 | Linear OA(6471, 203, F64, 51) (dual of [203, 132, 52]-code) | [i] | ||
| 72 | Linear OA(6470, 203, F64, 50) (dual of [203, 133, 51]-code) | [i] | ||
| 73 | Linear OA(6469, 203, F64, 49) (dual of [203, 134, 50]-code) | [i] | ||
| 74 | Linear OA(6468, 203, F64, 48) (dual of [203, 135, 49]-code) | [i] | ||
| 75 | Linear OA(6467, 203, F64, 47) (dual of [203, 136, 48]-code) | [i] | ||
| 76 | Linear OA(6466, 203, F64, 46) (dual of [203, 137, 47]-code) | [i] | ||
| 77 | Linear OA(6465, 203, F64, 45) (dual of [203, 138, 46]-code) | [i] | ||
| 78 | Linear OA(6464, 203, F64, 44) (dual of [203, 139, 45]-code) | [i] | ||
| 79 | Linear OA(6463, 203, F64, 43) (dual of [203, 140, 44]-code) | [i] | ||
| 80 | Linear OA(6462, 203, F64, 42) (dual of [203, 141, 43]-code) | [i] | ||
| 81 | Linear OA(6461, 203, F64, 41) (dual of [203, 142, 42]-code) | [i] | ||
| 82 | Linear OA(6460, 203, F64, 40) (dual of [203, 143, 41]-code) | [i] | ||
| 83 | Linear OA(6459, 203, F64, 39) (dual of [203, 144, 40]-code) | [i] | ||
| 84 | Linear OA(6458, 203, F64, 38) (dual of [203, 145, 39]-code) | [i] | ||
| 85 | Linear OA(6457, 203, F64, 37) (dual of [203, 146, 38]-code) | [i] | ||
| 86 | Linear OA(6456, 203, F64, 36) (dual of [203, 147, 37]-code) | [i] | ||
| 87 | Linear OA(6455, 203, F64, 35) (dual of [203, 148, 36]-code) | [i] | ||
| 88 | Linear OA(6454, 203, F64, 34) (dual of [203, 149, 35]-code) | [i] | ||
| 89 | Linear OA(6453, 203, F64, 33) (dual of [203, 150, 34]-code) | [i] | ||
| 90 | Linear OA(6452, 203, F64, 32) (dual of [203, 151, 33]-code) | [i] | ||
| 91 | Linear OA(6451, 203, F64, 31) (dual of [203, 152, 32]-code) | [i] | ||
| 92 | Linear OA(6450, 203, F64, 30) (dual of [203, 153, 31]-code) | [i] | ||
| 93 | Linear OA(6449, 203, F64, 29) (dual of [203, 154, 30]-code) | [i] | ||
| 94 | Linear OA(6448, 203, F64, 28) (dual of [203, 155, 29]-code) | [i] | ||
| 95 | Linear OA(6447, 203, F64, 27) (dual of [203, 156, 28]-code) | [i] | ||
| 96 | Linear OA(6491, 539, F64, 50) (dual of [539, 448, 51]-code) | [i] | ||
| 97 | Linear OA(6490, 539, F64, 49) (dual of [539, 449, 50]-code) | [i] | ||
| 98 | Linear OA(6489, 539, F64, 48) (dual of [539, 450, 49]-code) | [i] | ||
| 99 | Linear OA(6490, 4138, F64, 39) (dual of [4138, 4048, 40]-code) | [i] | Construction X with Cyclic Codes | |
| 100 | Linear OA(6486, 4138, F64, 37) (dual of [4138, 4052, 38]-code) | [i] | ||
| 101 | Linear OA(6482, 4138, F64, 35) (dual of [4138, 4056, 36]-code) | [i] | ||
| 102 | Linear OA(6478, 4138, F64, 33) (dual of [4138, 4060, 34]-code) | [i] | ||
| 103 | Linear OA(6474, 4138, F64, 31) (dual of [4138, 4064, 32]-code) | [i] | ||
| 104 | Linear OA(6470, 4138, F64, 29) (dual of [4138, 4068, 30]-code) | [i] | ||
| 105 | Linear OA(6488, 4137, F64, 38) (dual of [4137, 4049, 39]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 106 | Linear OA(6484, 4137, F64, 36) (dual of [4137, 4053, 37]-code) | [i] | ||
| 107 | Linear OA(6480, 4137, F64, 34) (dual of [4137, 4057, 35]-code) | [i] | ||
| 108 | Linear OA(6476, 4137, F64, 32) (dual of [4137, 4061, 33]-code) | [i] | ||
| 109 | Linear OA(6472, 4137, F64, 30) (dual of [4137, 4065, 31]-code) | [i] | ||
| 110 | Linear OA(6468, 4137, F64, 28) (dual of [4137, 4069, 29]-code) | [i] | ||