Information on Result #606517
Linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using Reed–Solomon code RS(49,64)
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(2135, 315, F2, 31) (dual of [315, 180, 32]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(2134, 308, F2, 31) (dual of [308, 174, 32]-code) | [i] | ||
| 3 | Linear OA(2133, 301, F2, 31) (dual of [301, 168, 32]-code) | [i] | ||
| 4 | Linear OA(2132, 294, F2, 31) (dual of [294, 162, 32]-code) | [i] | ||
| 5 | Linear OA(2131, 287, F2, 31) (dual of [287, 156, 32]-code) | [i] | ||
| 6 | Linear OA(2130, 280, F2, 31) (dual of [280, 150, 32]-code) | [i] | ||
| 7 | Linear OA(2129, 273, F2, 31) (dual of [273, 144, 32]-code) | [i] | ||
| 8 | Linear OA(490, 180, F4, 31) (dual of [180, 90, 32]-code) | [i] | ||
| 9 | Linear OA(489, 176, F4, 31) (dual of [176, 87, 32]-code) | [i] | ||
| 10 | Linear OA(488, 172, F4, 31) (dual of [172, 84, 32]-code) | [i] | ||
| 11 | Linear OA(487, 168, F4, 31) (dual of [168, 81, 32]-code) | [i] | ||
| 12 | Linear OA(486, 164, F4, 31) (dual of [164, 78, 32]-code) | [i] | ||
| 13 | Linear OA(485, 160, F4, 31) (dual of [160, 75, 32]-code) | [i] | ||
| 14 | Linear OA(484, 156, F4, 31) (dual of [156, 72, 32]-code) | [i] | ||
| 15 | Linear OA(483, 152, F4, 31) (dual of [152, 69, 32]-code) | [i] | ||
| 16 | Linear OA(482, 148, F4, 31) (dual of [148, 66, 32]-code) | [i] | ||
| 17 | Linear OA(481, 144, F4, 31) (dual of [144, 63, 32]-code) | [i] | ||
| 18 | Linear OA(480, 140, F4, 31) (dual of [140, 60, 32]-code) | [i] | ||
| 19 | Linear OA(479, 136, F4, 31) (dual of [136, 57, 32]-code) | [i] | ||
| 20 | Linear OA(473, 112, F4, 31) (dual of [112, 39, 32]-code) | [i] | ||
| 21 | Linear OA(4107, 155, F4, 47) (dual of [155, 48, 48]-code) | [i] | ||
| 22 | Linear OA(4105, 150, F4, 47) (dual of [150, 45, 48]-code) | [i] | ||
| 23 | Linear OA(4103, 145, F4, 47) (dual of [145, 42, 48]-code) | [i] | ||
| 24 | Linear OA(4101, 140, F4, 47) (dual of [140, 39, 48]-code) | [i] | ||
| 25 | Linear OA(497, 130, F4, 47) (dual of [130, 33, 48]-code) | [i] | ||
| 26 | Linear OA(495, 125, F4, 47) (dual of [125, 30, 48]-code) | [i] | ||
| 27 | Linear OA(493, 120, F4, 47) (dual of [120, 27, 48]-code) | [i] | ||
| 28 | Linear OA(4126, 162, F4, 63) (dual of [162, 36, 64]-code) | [i] | ||
| 29 | Linear OA(4123, 156, F4, 63) (dual of [156, 33, 64]-code) | [i] | ||
| 30 | Linear OA(4120, 150, F4, 63) (dual of [150, 30, 64]-code) | [i] | ||
| 31 | Linear OA(4117, 144, F4, 63) (dual of [144, 27, 64]-code) | [i] | ||
| 32 | Linear OA(4114, 138, F4, 63) (dual of [138, 24, 64]-code) | [i] | ||
| 33 | Linear OA(4111, 132, F4, 63) (dual of [132, 21, 64]-code) | [i] | ||
| 34 | Linear OA(861, 93, F8, 31) (dual of [93, 32, 32]-code) | [i] | ||
| 35 | Linear OA(860, 90, F8, 31) (dual of [90, 30, 32]-code) | [i] | ||
| 36 | Linear OA(859, 87, F8, 31) (dual of [87, 28, 32]-code) | [i] | ||
| 37 | Linear OA(858, 84, F8, 31) (dual of [84, 26, 32]-code) | [i] | ||
| 38 | Linear OA(857, 81, F8, 31) (dual of [81, 24, 32]-code) | [i] | ||
| 39 | Linear OA(856, 78, F8, 31) (dual of [78, 22, 32]-code) | [i] | ||
| 40 | Linear OA(876, 92, F8, 47) (dual of [92, 16, 48]-code) | [i] | ||
| 41 | Linear OA(874, 88, F8, 47) (dual of [88, 14, 48]-code) | [i] | ||
| 42 | Linear OA(872, 84, F8, 47) (dual of [84, 12, 48]-code) | [i] | ||
| 43 | Linear OA(870, 80, F8, 47) (dual of [80, 10, 48]-code) | [i] | ||
| 44 | Linear OA(868, 76, F8, 47) (dual of [76, 8, 48]-code) | [i] | ||
| 45 | Linear OA(893, 105, F8, 63) (dual of [105, 12, 64]-code) | [i] | ||
| 46 | Linear OA(890, 100, F8, 63) (dual of [100, 10, 64]-code) | [i] | ||
| 47 | Linear OA(887, 95, F8, 63) (dual of [95, 8, 64]-code) | [i] | ||
| 48 | Linear OA(8102, 108, F8, 79) (dual of [108, 6, 80]-code) | [i] | ||
| 49 | Linear OA(8125, 133, F8, 95) (dual of [133, 8, 96]-code) | [i] | ||
| 50 | Linear OA(8120, 126, F8, 95) (dual of [126, 6, 96]-code) | [i] | ||
| 51 | Linear OA(8138, 144, F8, 111) (dual of [144, 6, 112]-code) | [i] | ||
| 52 | Linear OA(8156, 162, F8, 127) (dual of [162, 6, 128]-code) | [i] | ||
| 53 | Linear OA(8149, 153, F8, 127) (dual of [153, 4, 128]-code) | [i] | ||
| 54 | Linear OOA(4160, 92, F4, 2, 95) (dual of [(92, 2), 24, 96]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 55 | Linear OOA(4155, 88, F4, 2, 95) (dual of [(88, 2), 21, 96]-NRT-code) | [i] | ||
| 56 | Linear OOA(4150, 84, F4, 2, 95) (dual of [(84, 2), 18, 96]-NRT-code) | [i] | ||
| 57 | Linear OOA(4145, 80, F4, 2, 95) (dual of [(80, 2), 15, 96]-NRT-code) | [i] | ||
| 58 | Linear OOA(4140, 76, F4, 2, 95) (dual of [(76, 2), 12, 96]-NRT-code) | [i] | ||
| 59 | Linear OOA(4135, 72, F4, 2, 95) (dual of [(72, 2), 9, 96]-NRT-code) | [i] | ||
| 60 | Linear OOA(4192, 105, F4, 2, 127) (dual of [(105, 2), 18, 128]-NRT-code) | [i] | ||
| 61 | Linear OOA(4185, 100, F4, 2, 127) (dual of [(100, 2), 15, 128]-NRT-code) | [i] | ||
| 62 | Linear OOA(4178, 95, F4, 2, 127) (dual of [(95, 2), 12, 128]-NRT-code) | [i] | ||
| 63 | Linear OOA(4171, 90, F4, 2, 127) (dual of [(90, 2), 9, 128]-NRT-code) | [i] | ||
| 64 | Linear OOA(2213, 123, F2, 3, 63) (dual of [(123, 3), 156, 64]-NRT-code) | [i] | ||
| 65 | Linear OOA(2210, 120, F2, 3, 63) (dual of [(120, 3), 150, 64]-NRT-code) | [i] | ||
| 66 | Linear OOA(2189, 99, F2, 3, 63) (dual of [(99, 3), 108, 64]-NRT-code) | [i] | ||
| 67 | Linear OOA(2186, 96, F2, 3, 63) (dual of [(96, 3), 102, 64]-NRT-code) | [i] | ||
| 68 | Linear OOA(2183, 93, F2, 3, 63) (dual of [(93, 3), 96, 64]-NRT-code) | [i] | ||
| 69 | Linear OOA(2258, 84, F2, 4, 111) (dual of [(84, 4), 78, 112]-NRT-code) | [i] | ||
| 70 | Linear OOA(2252, 81, F2, 4, 111) (dual of [(81, 4), 72, 112]-NRT-code) | [i] | ||
| 71 | Linear OOA(2246, 78, F2, 4, 111) (dual of [(78, 4), 66, 112]-NRT-code) | [i] | ||
| 72 | Linear OA(6491, 207, F64, 69) (dual of [207, 116, 70]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 73 | Linear OA(6490, 207, F64, 68) (dual of [207, 117, 69]-code) | [i] | ||
| 74 | Linear OA(6489, 207, F64, 67) (dual of [207, 118, 68]-code) | [i] | ||
| 75 | Linear OA(6488, 207, F64, 66) (dual of [207, 119, 67]-code) | [i] | ||
| 76 | Linear OA(6487, 207, F64, 65) (dual of [207, 120, 66]-code) | [i] | ||
| 77 | Linear OA(6486, 207, F64, 64) (dual of [207, 121, 65]-code) | [i] | ||
| 78 | Linear OA(6485, 207, F64, 63) (dual of [207, 122, 64]-code) | [i] | ||
| 79 | Linear OA(6484, 207, F64, 62) (dual of [207, 123, 63]-code) | [i] | ||
| 80 | Linear OA(6483, 207, F64, 61) (dual of [207, 124, 62]-code) | [i] | ||
| 81 | Linear OA(6482, 207, F64, 60) (dual of [207, 125, 61]-code) | [i] | ||
| 82 | Linear OA(6481, 207, F64, 59) (dual of [207, 126, 60]-code) | [i] | ||
| 83 | Linear OA(6480, 207, F64, 58) (dual of [207, 127, 59]-code) | [i] | ||
| 84 | Linear OA(6479, 207, F64, 57) (dual of [207, 128, 58]-code) | [i] | ||
| 85 | Linear OA(6478, 207, F64, 56) (dual of [207, 129, 57]-code) | [i] | ||
| 86 | Linear OA(6477, 207, F64, 55) (dual of [207, 130, 56]-code) | [i] | ||
| 87 | Linear OA(6476, 207, F64, 54) (dual of [207, 131, 55]-code) | [i] | ||
| 88 | Linear OA(6475, 207, F64, 53) (dual of [207, 132, 54]-code) | [i] | ||
| 89 | Linear OA(6474, 207, F64, 52) (dual of [207, 133, 53]-code) | [i] | ||
| 90 | Linear OA(6473, 207, F64, 51) (dual of [207, 134, 52]-code) | [i] | ||
| 91 | Linear OA(6472, 207, F64, 50) (dual of [207, 135, 51]-code) | [i] | ||
| 92 | Linear OA(6471, 207, F64, 49) (dual of [207, 136, 50]-code) | [i] | ||
| 93 | Linear OA(6470, 207, F64, 48) (dual of [207, 137, 49]-code) | [i] | ||
| 94 | Linear OA(6469, 207, F64, 47) (dual of [207, 138, 48]-code) | [i] | ||
| 95 | Linear OA(6468, 207, F64, 46) (dual of [207, 139, 47]-code) | [i] | ||
| 96 | Linear OA(6467, 207, F64, 45) (dual of [207, 140, 46]-code) | [i] | ||
| 97 | Linear OA(6466, 207, F64, 44) (dual of [207, 141, 45]-code) | [i] | ||
| 98 | Linear OA(6465, 207, F64, 43) (dual of [207, 142, 44]-code) | [i] | ||
| 99 | Linear OA(6464, 207, F64, 42) (dual of [207, 143, 43]-code) | [i] | ||
| 100 | Linear OA(6463, 207, F64, 41) (dual of [207, 144, 42]-code) | [i] | ||
| 101 | Linear OA(6462, 207, F64, 40) (dual of [207, 145, 41]-code) | [i] | ||
| 102 | Linear OA(6461, 207, F64, 39) (dual of [207, 146, 40]-code) | [i] | ||
| 103 | Linear OA(6460, 207, F64, 38) (dual of [207, 147, 39]-code) | [i] | ||
| 104 | Linear OA(6459, 207, F64, 37) (dual of [207, 148, 38]-code) | [i] | ||
| 105 | Linear OA(6458, 207, F64, 36) (dual of [207, 149, 37]-code) | [i] | ||
| 106 | Linear OA(6457, 207, F64, 35) (dual of [207, 150, 36]-code) | [i] | ||
| 107 | Linear OA(6456, 207, F64, 34) (dual of [207, 151, 35]-code) | [i] | ||
| 108 | Linear OA(6455, 207, F64, 33) (dual of [207, 152, 34]-code) | [i] | ||
| 109 | Linear OA(6454, 207, F64, 32) (dual of [207, 153, 33]-code) | [i] | ||
| 110 | Linear OA(6453, 207, F64, 31) (dual of [207, 154, 32]-code) | [i] | ||
| 111 | Linear OA(6452, 207, F64, 30) (dual of [207, 155, 31]-code) | [i] | ||
| 112 | Linear OA(6451, 207, F64, 29) (dual of [207, 156, 30]-code) | [i] | ||
| 113 | Linear OA(6488, 4144, F64, 37) (dual of [4144, 4056, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 114 | Linear OA(6484, 4144, F64, 35) (dual of [4144, 4060, 36]-code) | [i] | ||
| 115 | Linear OA(6480, 4144, F64, 33) (dual of [4144, 4064, 34]-code) | [i] | ||
| 116 | Linear OA(6490, 4143, F64, 38) (dual of [4143, 4053, 39]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 117 | Linear OA(6486, 4143, F64, 36) (dual of [4143, 4057, 37]-code) | [i] | ||
| 118 | Linear OA(6482, 4143, F64, 34) (dual of [4143, 4061, 35]-code) | [i] | ||
| 119 | Linear OA(6478, 4143, F64, 32) (dual of [4143, 4065, 33]-code) | [i] | ||