Information on Result #606520
Linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using Reed–Solomon code RS(46,64)
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(2153, 315, F2, 37) (dual of [315, 162, 38]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(2152, 308, F2, 37) (dual of [308, 156, 38]-code) | [i] | ||
| 3 | Linear OA(2151, 301, F2, 37) (dual of [301, 150, 38]-code) | [i] | ||
| 4 | Linear OA(2150, 294, F2, 37) (dual of [294, 144, 38]-code) | [i] | ||
| 5 | Linear OA(2149, 287, F2, 37) (dual of [287, 138, 38]-code) | [i] | ||
| 6 | Linear OA(2148, 280, F2, 37) (dual of [280, 132, 38]-code) | [i] | ||
| 7 | Linear OA(4100, 184, F4, 37) (dual of [184, 84, 38]-code) | [i] | ||
| 8 | Linear OA(499, 180, F4, 37) (dual of [180, 81, 38]-code) | [i] | ||
| 9 | Linear OA(498, 176, F4, 37) (dual of [176, 78, 38]-code) | [i] | ||
| 10 | Linear OA(497, 172, F4, 37) (dual of [172, 75, 38]-code) | [i] | ||
| 11 | Linear OA(496, 168, F4, 37) (dual of [168, 72, 38]-code) | [i] | ||
| 12 | Linear OA(495, 164, F4, 37) (dual of [164, 69, 38]-code) | [i] | ||
| 13 | Linear OA(494, 160, F4, 37) (dual of [160, 66, 38]-code) | [i] | ||
| 14 | Linear OA(493, 156, F4, 37) (dual of [156, 63, 38]-code) | [i] | ||
| 15 | Linear OA(492, 152, F4, 37) (dual of [152, 60, 38]-code) | [i] | ||
| 16 | Linear OA(491, 148, F4, 37) (dual of [148, 57, 38]-code) | [i] | ||
| 17 | Linear OA(490, 144, F4, 37) (dual of [144, 54, 38]-code) | [i] | ||
| 18 | Linear OA(489, 140, F4, 37) (dual of [140, 51, 38]-code) | [i] | ||
| 19 | Linear OA(488, 136, F4, 37) (dual of [136, 48, 38]-code) | [i] | ||
| 20 | Linear OA(487, 132, F4, 37) (dual of [132, 45, 38]-code) | [i] | ||
| 21 | Linear OA(485, 124, F4, 37) (dual of [124, 39, 38]-code) | [i] | ||
| 22 | Linear OA(4130, 190, F4, 56) (dual of [190, 60, 57]-code) | [i] | ||
| 23 | Linear OA(4128, 185, F4, 56) (dual of [185, 57, 57]-code) | [i] | ||
| 24 | Linear OA(4126, 180, F4, 56) (dual of [180, 54, 57]-code) | [i] | ||
| 25 | Linear OA(4124, 175, F4, 56) (dual of [175, 51, 57]-code) | [i] | ||
| 26 | Linear OA(4122, 170, F4, 56) (dual of [170, 48, 57]-code) | [i] | ||
| 27 | Linear OA(4120, 165, F4, 56) (dual of [165, 45, 57]-code) | [i] | ||
| 28 | Linear OA(4118, 160, F4, 56) (dual of [160, 42, 57]-code) | [i] | ||
| 29 | Linear OA(4116, 155, F4, 56) (dual of [155, 39, 57]-code) | [i] | ||
| 30 | Linear OA(4114, 150, F4, 56) (dual of [150, 36, 57]-code) | [i] | ||
| 31 | Linear OA(4112, 145, F4, 56) (dual of [145, 33, 57]-code) | [i] | ||
| 32 | Linear OA(4110, 140, F4, 56) (dual of [140, 30, 57]-code) | [i] | ||
| 33 | Linear OA(4108, 135, F4, 56) (dual of [135, 27, 57]-code) | [i] | ||
| 34 | Linear OA(4147, 186, F4, 75) (dual of [186, 39, 76]-code) | [i] | ||
| 35 | Linear OA(4144, 180, F4, 75) (dual of [180, 36, 76]-code) | [i] | ||
| 36 | Linear OA(4141, 174, F4, 75) (dual of [174, 33, 76]-code) | [i] | ||
| 37 | Linear OA(4138, 168, F4, 75) (dual of [168, 30, 76]-code) | [i] | ||
| 38 | Linear OA(4135, 162, F4, 75) (dual of [162, 27, 76]-code) | [i] | ||
| 39 | Linear OA(4132, 156, F4, 75) (dual of [156, 24, 76]-code) | [i] | ||
| 40 | Linear OA(4129, 150, F4, 75) (dual of [150, 21, 76]-code) | [i] | ||
| 41 | Linear OA(4126, 144, F4, 75) (dual of [144, 18, 76]-code) | [i] | ||
| 42 | Linear OA(4123, 138, F4, 75) (dual of [138, 15, 76]-code) | [i] | ||
| 43 | Linear OA(873, 111, F8, 37) (dual of [111, 38, 38]-code) | [i] | ||
| 44 | Linear OA(872, 108, F8, 37) (dual of [108, 36, 38]-code) | [i] | ||
| 45 | Linear OA(871, 105, F8, 37) (dual of [105, 34, 38]-code) | [i] | ||
| 46 | Linear OA(870, 102, F8, 37) (dual of [102, 32, 38]-code) | [i] | ||
| 47 | Linear OA(869, 99, F8, 37) (dual of [99, 30, 38]-code) | [i] | ||
| 48 | Linear OA(868, 96, F8, 37) (dual of [96, 28, 38]-code) | [i] | ||
| 49 | Linear OA(867, 93, F8, 37) (dual of [93, 26, 38]-code) | [i] | ||
| 50 | Linear OA(866, 90, F8, 37) (dual of [90, 24, 38]-code) | [i] | ||
| 51 | Linear OA(865, 87, F8, 37) (dual of [87, 22, 38]-code) | [i] | ||
| 52 | Linear OA(864, 84, F8, 37) (dual of [84, 20, 38]-code) | [i] | ||
| 53 | Linear OA(863, 81, F8, 37) (dual of [81, 18, 38]-code) | [i] | ||
| 54 | Linear OA(892, 112, F8, 56) (dual of [112, 20, 57]-code) | [i] | ||
| 55 | Linear OA(890, 108, F8, 56) (dual of [108, 18, 57]-code) | [i] | ||
| 56 | Linear OA(888, 104, F8, 56) (dual of [104, 16, 57]-code) | [i] | ||
| 57 | Linear OA(886, 100, F8, 56) (dual of [100, 14, 57]-code) | [i] | ||
| 58 | Linear OA(884, 96, F8, 56) (dual of [96, 12, 57]-code) | [i] | ||
| 59 | Linear OA(882, 92, F8, 56) (dual of [92, 10, 57]-code) | [i] | ||
| 60 | Linear OA(880, 88, F8, 56) (dual of [88, 8, 57]-code) | [i] | ||
| 61 | Linear OA(8111, 125, F8, 75) (dual of [125, 14, 76]-code) | [i] | ||
| 62 | Linear OA(8108, 120, F8, 75) (dual of [120, 12, 76]-code) | [i] | ||
| 63 | Linear OA(8105, 115, F8, 75) (dual of [115, 10, 76]-code) | [i] | ||
| 64 | Linear OA(899, 105, F8, 75) (dual of [105, 6, 76]-code) | [i] | ||
| 65 | Linear OA(8128, 138, F8, 94) (dual of [138, 10, 95]-code) | [i] | ||
| 66 | Linear OA(8124, 132, F8, 94) (dual of [132, 8, 95]-code) | [i] | ||
| 67 | Linear OA(8120, 126, F8, 94) (dual of [126, 6, 95]-code) | [i] | ||
| 68 | Linear OA(8146, 154, F8, 113) (dual of [154, 8, 114]-code) | [i] | ||
| 69 | Linear OA(8141, 147, F8, 113) (dual of [147, 6, 114]-code) | [i] | ||
| 70 | Linear OA(8136, 140, F8, 113) (dual of [140, 4, 114]-code) | [i] | ||
| 71 | Linear OA(8168, 176, F8, 132) (dual of [176, 8, 133]-code) | [i] | ||
| 72 | Linear OA(8162, 168, F8, 132) (dual of [168, 6, 133]-code) | [i] | ||
| 73 | Linear OOA(4194, 112, F4, 2, 113) (dual of [(112, 2), 30, 114]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 74 | Linear OOA(4189, 108, F4, 2, 113) (dual of [(108, 2), 27, 114]-NRT-code) | [i] | ||
| 75 | Linear OOA(4184, 104, F4, 2, 113) (dual of [(104, 2), 24, 114]-NRT-code) | [i] | ||
| 76 | Linear OOA(4179, 100, F4, 2, 113) (dual of [(100, 2), 21, 114]-NRT-code) | [i] | ||
| 77 | Linear OOA(4174, 96, F4, 2, 113) (dual of [(96, 2), 18, 114]-NRT-code) | [i] | ||
| 78 | Linear OOA(4169, 92, F4, 2, 113) (dual of [(92, 2), 15, 114]-NRT-code) | [i] | ||
| 79 | Linear OOA(4164, 88, F4, 2, 113) (dual of [(88, 2), 12, 114]-NRT-code) | [i] | ||
| 80 | Linear OOA(4229, 125, F4, 2, 151) (dual of [(125, 2), 21, 152]-NRT-code) | [i] | ||
| 81 | Linear OOA(4222, 120, F4, 2, 151) (dual of [(120, 2), 18, 152]-NRT-code) | [i] | ||
| 82 | Linear OOA(4215, 115, F4, 2, 151) (dual of [(115, 2), 15, 152]-NRT-code) | [i] | ||
| 83 | Linear OOA(4208, 110, F4, 2, 151) (dual of [(110, 2), 12, 152]-NRT-code) | [i] | ||
| 84 | Linear OOA(4201, 105, F4, 2, 151) (dual of [(105, 2), 9, 152]-NRT-code) | [i] | ||
| 85 | Linear OOA(2258, 150, F2, 3, 75) (dual of [(150, 3), 192, 76]-NRT-code) | [i] | ||
| 86 | Linear OOA(2255, 147, F2, 3, 75) (dual of [(147, 3), 186, 76]-NRT-code) | [i] | ||
| 87 | Linear OOA(2252, 144, F2, 3, 75) (dual of [(144, 3), 180, 76]-NRT-code) | [i] | ||
| 88 | Linear OOA(2249, 141, F2, 3, 75) (dual of [(141, 3), 174, 76]-NRT-code) | [i] | ||
| 89 | Linear OOA(2246, 138, F2, 3, 75) (dual of [(138, 3), 168, 76]-NRT-code) | [i] | ||
| 90 | Linear OOA(2243, 135, F2, 3, 75) (dual of [(135, 3), 162, 76]-NRT-code) | [i] | ||
| 91 | Linear OOA(2240, 132, F2, 3, 75) (dual of [(132, 3), 156, 76]-NRT-code) | [i] | ||
| 92 | Linear OOA(2237, 129, F2, 3, 75) (dual of [(129, 3), 150, 76]-NRT-code) | [i] | ||
| 93 | Linear OOA(2234, 126, F2, 3, 75) (dual of [(126, 3), 144, 76]-NRT-code) | [i] | ||
| 94 | Linear OOA(2231, 123, F2, 3, 75) (dual of [(123, 3), 138, 76]-NRT-code) | [i] | ||
| 95 | Linear OOA(2228, 120, F2, 3, 75) (dual of [(120, 3), 132, 76]-NRT-code) | [i] | ||
| 96 | Linear OOA(2225, 117, F2, 3, 75) (dual of [(117, 3), 126, 76]-NRT-code) | [i] | ||
| 97 | Linear OOA(2213, 105, F2, 3, 75) (dual of [(105, 3), 102, 76]-NRT-code) | [i] | ||
| 98 | Linear OOA(2210, 102, F2, 3, 75) (dual of [(102, 3), 96, 76]-NRT-code) | [i] | ||
| 99 | Linear OA(6491, 213, F64, 66) (dual of [213, 122, 67]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 100 | Linear OA(6490, 213, F64, 65) (dual of [213, 123, 66]-code) | [i] | ||
| 101 | Linear OA(6489, 213, F64, 64) (dual of [213, 124, 65]-code) | [i] | ||
| 102 | Linear OA(6488, 213, F64, 63) (dual of [213, 125, 64]-code) | [i] | ||
| 103 | Linear OA(6487, 213, F64, 62) (dual of [213, 126, 63]-code) | [i] | ||
| 104 | Linear OA(6486, 213, F64, 61) (dual of [213, 127, 62]-code) | [i] | ||
| 105 | Linear OA(6485, 213, F64, 60) (dual of [213, 128, 61]-code) | [i] | ||
| 106 | Linear OA(6484, 213, F64, 59) (dual of [213, 129, 60]-code) | [i] | ||
| 107 | Linear OA(6483, 213, F64, 58) (dual of [213, 130, 59]-code) | [i] | ||
| 108 | Linear OA(6482, 213, F64, 57) (dual of [213, 131, 58]-code) | [i] | ||
| 109 | Linear OA(6481, 213, F64, 56) (dual of [213, 132, 57]-code) | [i] | ||
| 110 | Linear OA(6480, 213, F64, 55) (dual of [213, 133, 56]-code) | [i] | ||
| 111 | Linear OA(6479, 213, F64, 54) (dual of [213, 134, 55]-code) | [i] | ||
| 112 | Linear OA(6478, 213, F64, 53) (dual of [213, 135, 54]-code) | [i] | ||
| 113 | Linear OA(6477, 213, F64, 52) (dual of [213, 136, 53]-code) | [i] | ||
| 114 | Linear OA(6476, 213, F64, 51) (dual of [213, 137, 52]-code) | [i] | ||
| 115 | Linear OA(6475, 213, F64, 50) (dual of [213, 138, 51]-code) | [i] | ||
| 116 | Linear OA(6474, 213, F64, 49) (dual of [213, 139, 50]-code) | [i] | ||
| 117 | Linear OA(6473, 213, F64, 48) (dual of [213, 140, 49]-code) | [i] | ||
| 118 | Linear OA(6472, 213, F64, 47) (dual of [213, 141, 48]-code) | [i] | ||
| 119 | Linear OA(6471, 213, F64, 46) (dual of [213, 142, 47]-code) | [i] | ||
| 120 | Linear OA(6470, 213, F64, 45) (dual of [213, 143, 46]-code) | [i] | ||
| 121 | Linear OA(6469, 213, F64, 44) (dual of [213, 144, 45]-code) | [i] | ||
| 122 | Linear OA(6468, 213, F64, 43) (dual of [213, 145, 44]-code) | [i] | ||
| 123 | Linear OA(6467, 213, F64, 42) (dual of [213, 146, 43]-code) | [i] | ||
| 124 | Linear OA(6466, 213, F64, 41) (dual of [213, 147, 42]-code) | [i] | ||
| 125 | Linear OA(6465, 213, F64, 40) (dual of [213, 148, 41]-code) | [i] | ||
| 126 | Linear OA(6464, 213, F64, 39) (dual of [213, 149, 40]-code) | [i] | ||
| 127 | Linear OA(6463, 213, F64, 38) (dual of [213, 150, 39]-code) | [i] | ||
| 128 | Linear OA(6462, 213, F64, 37) (dual of [213, 151, 38]-code) | [i] | ||
| 129 | Linear OA(6461, 213, F64, 36) (dual of [213, 152, 37]-code) | [i] | ||
| 130 | Linear OA(6460, 213, F64, 35) (dual of [213, 153, 36]-code) | [i] | ||
| 131 | Linear OA(6459, 213, F64, 34) (dual of [213, 154, 35]-code) | [i] | ||
| 132 | Linear OA(6458, 213, F64, 33) (dual of [213, 155, 34]-code) | [i] | ||