Information on Result #606519
Linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), using Reed–Solomon code RS(47,64)
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(2144, 294, F2, 35) (dual of [294, 150, 36]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(2143, 287, F2, 35) (dual of [287, 144, 36]-code) | [i] | ||
| 3 | Linear OA(2142, 280, F2, 35) (dual of [280, 138, 36]-code) | [i] | ||
| 4 | Linear OA(2141, 273, F2, 35) (dual of [273, 132, 36]-code) | [i] | ||
| 5 | Linear OA(496, 180, F4, 35) (dual of [180, 84, 36]-code) | [i] | ||
| 6 | Linear OA(495, 176, F4, 35) (dual of [176, 81, 36]-code) | [i] | ||
| 7 | Linear OA(494, 172, F4, 35) (dual of [172, 78, 36]-code) | [i] | ||
| 8 | Linear OA(493, 168, F4, 35) (dual of [168, 75, 36]-code) | [i] | ||
| 9 | Linear OA(492, 164, F4, 35) (dual of [164, 72, 36]-code) | [i] | ||
| 10 | Linear OA(491, 160, F4, 35) (dual of [160, 69, 36]-code) | [i] | ||
| 11 | Linear OA(490, 156, F4, 35) (dual of [156, 66, 36]-code) | [i] | ||
| 12 | Linear OA(489, 152, F4, 35) (dual of [152, 63, 36]-code) | [i] | ||
| 13 | Linear OA(488, 148, F4, 35) (dual of [148, 60, 36]-code) | [i] | ||
| 14 | Linear OA(487, 144, F4, 35) (dual of [144, 57, 36]-code) | [i] | ||
| 15 | Linear OA(486, 140, F4, 35) (dual of [140, 54, 36]-code) | [i] | ||
| 16 | Linear OA(485, 136, F4, 35) (dual of [136, 51, 36]-code) | [i] | ||
| 17 | Linear OA(481, 120, F4, 35) (dual of [120, 39, 36]-code) | [i] | ||
| 18 | Linear OA(4121, 175, F4, 53) (dual of [175, 54, 54]-code) | [i] | ||
| 19 | Linear OA(4119, 170, F4, 53) (dual of [170, 51, 54]-code) | [i] | ||
| 20 | Linear OA(4117, 165, F4, 53) (dual of [165, 48, 54]-code) | [i] | ||
| 21 | Linear OA(4115, 160, F4, 53) (dual of [160, 45, 54]-code) | [i] | ||
| 22 | Linear OA(4113, 155, F4, 53) (dual of [155, 42, 54]-code) | [i] | ||
| 23 | Linear OA(4111, 150, F4, 53) (dual of [150, 39, 54]-code) | [i] | ||
| 24 | Linear OA(4109, 145, F4, 53) (dual of [145, 36, 54]-code) | [i] | ||
| 25 | Linear OA(4107, 140, F4, 53) (dual of [140, 33, 54]-code) | [i] | ||
| 26 | Linear OA(4103, 130, F4, 53) (dual of [130, 27, 54]-code) | [i] | ||
| 27 | Linear OA(4138, 174, F4, 71) (dual of [174, 36, 72]-code) | [i] | ||
| 28 | Linear OA(4135, 168, F4, 71) (dual of [168, 33, 72]-code) | [i] | ||
| 29 | Linear OA(4132, 162, F4, 71) (dual of [162, 30, 72]-code) | [i] | ||
| 30 | Linear OA(4129, 156, F4, 71) (dual of [156, 27, 72]-code) | [i] | ||
| 31 | Linear OA(4126, 150, F4, 71) (dual of [150, 24, 72]-code) | [i] | ||
| 32 | Linear OA(4123, 144, F4, 71) (dual of [144, 21, 72]-code) | [i] | ||
| 33 | Linear OA(4120, 138, F4, 71) (dual of [138, 18, 72]-code) | [i] | ||
| 34 | Linear OA(869, 105, F8, 35) (dual of [105, 36, 36]-code) | [i] | ||
| 35 | Linear OA(868, 102, F8, 35) (dual of [102, 34, 36]-code) | [i] | ||
| 36 | Linear OA(867, 99, F8, 35) (dual of [99, 32, 36]-code) | [i] | ||
| 37 | Linear OA(866, 96, F8, 35) (dual of [96, 30, 36]-code) | [i] | ||
| 38 | Linear OA(865, 93, F8, 35) (dual of [93, 28, 36]-code) | [i] | ||
| 39 | Linear OA(864, 90, F8, 35) (dual of [90, 26, 36]-code) | [i] | ||
| 40 | Linear OA(863, 87, F8, 35) (dual of [87, 24, 36]-code) | [i] | ||
| 41 | Linear OA(862, 84, F8, 35) (dual of [84, 22, 36]-code) | [i] | ||
| 42 | Linear OA(861, 81, F8, 35) (dual of [81, 20, 36]-code) | [i] | ||
| 43 | Linear OA(886, 104, F8, 53) (dual of [104, 18, 54]-code) | [i] | ||
| 44 | Linear OA(884, 100, F8, 53) (dual of [100, 16, 54]-code) | [i] | ||
| 45 | Linear OA(882, 96, F8, 53) (dual of [96, 14, 54]-code) | [i] | ||
| 46 | Linear OA(880, 92, F8, 53) (dual of [92, 12, 54]-code) | [i] | ||
| 47 | Linear OA(878, 88, F8, 53) (dual of [88, 10, 54]-code) | [i] | ||
| 48 | Linear OA(876, 84, F8, 53) (dual of [84, 8, 54]-code) | [i] | ||
| 49 | Linear OA(8103, 115, F8, 71) (dual of [115, 12, 72]-code) | [i] | ||
| 50 | Linear OA(8100, 110, F8, 71) (dual of [110, 10, 72]-code) | [i] | ||
| 51 | Linear OA(897, 105, F8, 71) (dual of [105, 8, 72]-code) | [i] | ||
| 52 | Linear OA(894, 100, F8, 71) (dual of [100, 6, 72]-code) | [i] | ||
| 53 | Linear OA(8122, 132, F8, 89) (dual of [132, 10, 90]-code) | [i] | ||
| 54 | Linear OA(8139, 147, F8, 107) (dual of [147, 8, 108]-code) | [i] | ||
| 55 | Linear OA(8134, 140, F8, 107) (dual of [140, 6, 108]-code) | [i] | ||
| 56 | Linear OA(8154, 160, F8, 125) (dual of [160, 6, 126]-code) | [i] | ||
| 57 | Linear OA(8148, 152, F8, 125) (dual of [152, 4, 126]-code) | [i] | ||
| 58 | Linear OOA(4176, 100, F4, 2, 107) (dual of [(100, 2), 24, 108]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 59 | Linear OOA(4171, 96, F4, 2, 107) (dual of [(96, 2), 21, 108]-NRT-code) | [i] | ||
| 60 | Linear OOA(4166, 92, F4, 2, 107) (dual of [(92, 2), 18, 108]-NRT-code) | [i] | ||
| 61 | Linear OOA(4161, 88, F4, 2, 107) (dual of [(88, 2), 15, 108]-NRT-code) | [i] | ||
| 62 | Linear OOA(4156, 84, F4, 2, 107) (dual of [(84, 2), 12, 108]-NRT-code) | [i] | ||
| 63 | Linear OOA(4212, 115, F4, 2, 143) (dual of [(115, 2), 18, 144]-NRT-code) | [i] | ||
| 64 | Linear OOA(4205, 110, F4, 2, 143) (dual of [(110, 2), 15, 144]-NRT-code) | [i] | ||
| 65 | Linear OOA(4198, 105, F4, 2, 143) (dual of [(105, 2), 12, 144]-NRT-code) | [i] | ||
| 66 | Linear OOA(4191, 100, F4, 2, 143) (dual of [(100, 2), 9, 144]-NRT-code) | [i] | ||
| 67 | Linear OOA(2252, 150, F2, 3, 71) (dual of [(150, 3), 198, 72]-NRT-code) | [i] | ||
| 68 | Linear OOA(2249, 147, F2, 3, 71) (dual of [(147, 3), 192, 72]-NRT-code) | [i] | ||
| 69 | Linear OOA(2243, 141, F2, 3, 71) (dual of [(141, 3), 180, 72]-NRT-code) | [i] | ||
| 70 | Linear OOA(2240, 138, F2, 3, 71) (dual of [(138, 3), 174, 72]-NRT-code) | [i] | ||
| 71 | Linear OOA(2237, 135, F2, 3, 71) (dual of [(135, 3), 168, 72]-NRT-code) | [i] | ||
| 72 | Linear OOA(2234, 132, F2, 3, 71) (dual of [(132, 3), 162, 72]-NRT-code) | [i] | ||
| 73 | Linear OOA(2231, 129, F2, 3, 71) (dual of [(129, 3), 156, 72]-NRT-code) | [i] | ||
| 74 | Linear OOA(2228, 126, F2, 3, 71) (dual of [(126, 3), 150, 72]-NRT-code) | [i] | ||
| 75 | Linear OOA(2225, 123, F2, 3, 71) (dual of [(123, 3), 144, 72]-NRT-code) | [i] | ||
| 76 | Linear OOA(2222, 120, F2, 3, 71) (dual of [(120, 3), 138, 72]-NRT-code) | [i] | ||
| 77 | Linear OOA(2219, 117, F2, 3, 71) (dual of [(117, 3), 132, 72]-NRT-code) | [i] | ||
| 78 | Linear OOA(2207, 105, F2, 3, 71) (dual of [(105, 3), 108, 72]-NRT-code) | [i] | ||
| 79 | Linear OOA(2204, 102, F2, 3, 71) (dual of [(102, 3), 102, 72]-NRT-code) | [i] | ||
| 80 | Linear OOA(2201, 99, F2, 3, 71) (dual of [(99, 3), 96, 72]-NRT-code) | [i] | ||
| 81 | Linear OA(6491, 211, F64, 67) (dual of [211, 120, 68]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 82 | Linear OA(6490, 211, F64, 66) (dual of [211, 121, 67]-code) | [i] | ||
| 83 | Linear OA(6489, 211, F64, 65) (dual of [211, 122, 66]-code) | [i] | ||
| 84 | Linear OA(6488, 211, F64, 64) (dual of [211, 123, 65]-code) | [i] | ||
| 85 | Linear OA(6487, 211, F64, 63) (dual of [211, 124, 64]-code) | [i] | ||
| 86 | Linear OA(6486, 211, F64, 62) (dual of [211, 125, 63]-code) | [i] | ||
| 87 | Linear OA(6485, 211, F64, 61) (dual of [211, 126, 62]-code) | [i] | ||
| 88 | Linear OA(6484, 211, F64, 60) (dual of [211, 127, 61]-code) | [i] | ||
| 89 | Linear OA(6483, 211, F64, 59) (dual of [211, 128, 60]-code) | [i] | ||
| 90 | Linear OA(6482, 211, F64, 58) (dual of [211, 129, 59]-code) | [i] | ||
| 91 | Linear OA(6481, 211, F64, 57) (dual of [211, 130, 58]-code) | [i] | ||
| 92 | Linear OA(6480, 211, F64, 56) (dual of [211, 131, 57]-code) | [i] | ||
| 93 | Linear OA(6479, 211, F64, 55) (dual of [211, 132, 56]-code) | [i] | ||
| 94 | Linear OA(6478, 211, F64, 54) (dual of [211, 133, 55]-code) | [i] | ||
| 95 | Linear OA(6477, 211, F64, 53) (dual of [211, 134, 54]-code) | [i] | ||
| 96 | Linear OA(6476, 211, F64, 52) (dual of [211, 135, 53]-code) | [i] | ||
| 97 | Linear OA(6475, 211, F64, 51) (dual of [211, 136, 52]-code) | [i] | ||
| 98 | Linear OA(6474, 211, F64, 50) (dual of [211, 137, 51]-code) | [i] | ||
| 99 | Linear OA(6473, 211, F64, 49) (dual of [211, 138, 50]-code) | [i] | ||
| 100 | Linear OA(6472, 211, F64, 48) (dual of [211, 139, 49]-code) | [i] | ||
| 101 | Linear OA(6471, 211, F64, 47) (dual of [211, 140, 48]-code) | [i] | ||
| 102 | Linear OA(6470, 211, F64, 46) (dual of [211, 141, 47]-code) | [i] | ||
| 103 | Linear OA(6469, 211, F64, 45) (dual of [211, 142, 46]-code) | [i] | ||
| 104 | Linear OA(6468, 211, F64, 44) (dual of [211, 143, 45]-code) | [i] | ||
| 105 | Linear OA(6467, 211, F64, 43) (dual of [211, 144, 44]-code) | [i] | ||
| 106 | Linear OA(6466, 211, F64, 42) (dual of [211, 145, 43]-code) | [i] | ||
| 107 | Linear OA(6465, 211, F64, 41) (dual of [211, 146, 42]-code) | [i] | ||
| 108 | Linear OA(6464, 211, F64, 40) (dual of [211, 147, 41]-code) | [i] | ||
| 109 | Linear OA(6463, 211, F64, 39) (dual of [211, 148, 40]-code) | [i] | ||
| 110 | Linear OA(6462, 211, F64, 38) (dual of [211, 149, 39]-code) | [i] | ||
| 111 | Linear OA(6461, 211, F64, 37) (dual of [211, 150, 38]-code) | [i] | ||
| 112 | Linear OA(6460, 211, F64, 36) (dual of [211, 151, 37]-code) | [i] | ||
| 113 | Linear OA(6459, 211, F64, 35) (dual of [211, 152, 36]-code) | [i] | ||
| 114 | Linear OA(6458, 211, F64, 34) (dual of [211, 153, 35]-code) | [i] | ||
| 115 | Linear OA(6457, 211, F64, 33) (dual of [211, 154, 34]-code) | [i] | ||
| 116 | Linear OA(6456, 211, F64, 32) (dual of [211, 155, 33]-code) | [i] | ||
| 117 | Linear OA(6490, 4150, F64, 37) (dual of [4150, 4060, 38]-code) | [i] | Construction X with Cyclic Codes | |
| 118 | Linear OA(6488, 4149, F64, 36) (dual of [4149, 4061, 37]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |