Information on Result #606521
Linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using Reed–Solomon code RS(45,64)
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(2162, 336, F2, 39) (dual of [336, 174, 40]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(2161, 329, F2, 39) (dual of [329, 168, 40]-code) | [i] | ||
| 3 | Linear OA(2160, 322, F2, 39) (dual of [322, 162, 40]-code) | [i] | ||
| 4 | Linear OA(2159, 315, F2, 39) (dual of [315, 156, 40]-code) | [i] | ||
| 5 | Linear OA(2158, 308, F2, 39) (dual of [308, 150, 40]-code) | [i] | ||
| 6 | Linear OA(2157, 301, F2, 39) (dual of [301, 144, 40]-code) | [i] | ||
| 7 | Linear OA(2156, 294, F2, 39) (dual of [294, 138, 40]-code) | [i] | ||
| 8 | Linear OA(2155, 287, F2, 39) (dual of [287, 132, 40]-code) | [i] | ||
| 9 | Linear OA(2154, 280, F2, 39) (dual of [280, 126, 40]-code) | [i] | ||
| 10 | Linear OA(4108, 204, F4, 39) (dual of [204, 96, 40]-code) | [i] | ||
| 11 | Linear OA(4107, 200, F4, 39) (dual of [200, 93, 40]-code) | [i] | ||
| 12 | Linear OA(4106, 196, F4, 39) (dual of [196, 90, 40]-code) | [i] | ||
| 13 | Linear OA(4105, 192, F4, 39) (dual of [192, 87, 40]-code) | [i] | ||
| 14 | Linear OA(4104, 188, F4, 39) (dual of [188, 84, 40]-code) | [i] | ||
| 15 | Linear OA(4103, 184, F4, 39) (dual of [184, 81, 40]-code) | [i] | ||
| 16 | Linear OA(4102, 180, F4, 39) (dual of [180, 78, 40]-code) | [i] | ||
| 17 | Linear OA(4101, 176, F4, 39) (dual of [176, 75, 40]-code) | [i] | ||
| 18 | Linear OA(4100, 172, F4, 39) (dual of [172, 72, 40]-code) | [i] | ||
| 19 | Linear OA(499, 168, F4, 39) (dual of [168, 69, 40]-code) | [i] | ||
| 20 | Linear OA(498, 164, F4, 39) (dual of [164, 66, 40]-code) | [i] | ||
| 21 | Linear OA(497, 160, F4, 39) (dual of [160, 63, 40]-code) | [i] | ||
| 22 | Linear OA(496, 156, F4, 39) (dual of [156, 60, 40]-code) | [i] | ||
| 23 | Linear OA(495, 152, F4, 39) (dual of [152, 57, 40]-code) | [i] | ||
| 24 | Linear OA(494, 148, F4, 39) (dual of [148, 54, 40]-code) | [i] | ||
| 25 | Linear OA(493, 144, F4, 39) (dual of [144, 51, 40]-code) | [i] | ||
| 26 | Linear OA(492, 140, F4, 39) (dual of [140, 48, 40]-code) | [i] | ||
| 27 | Linear OA(491, 136, F4, 39) (dual of [136, 45, 40]-code) | [i] | ||
| 28 | Linear OA(4133, 190, F4, 59) (dual of [190, 57, 60]-code) | [i] | ||
| 29 | Linear OA(4131, 185, F4, 59) (dual of [185, 54, 60]-code) | [i] | ||
| 30 | Linear OA(4129, 180, F4, 59) (dual of [180, 51, 60]-code) | [i] | ||
| 31 | Linear OA(4127, 175, F4, 59) (dual of [175, 48, 60]-code) | [i] | ||
| 32 | Linear OA(4125, 170, F4, 59) (dual of [170, 45, 60]-code) | [i] | ||
| 33 | Linear OA(4123, 165, F4, 59) (dual of [165, 42, 60]-code) | [i] | ||
| 34 | Linear OA(4121, 160, F4, 59) (dual of [160, 39, 60]-code) | [i] | ||
| 35 | Linear OA(4119, 155, F4, 59) (dual of [155, 36, 60]-code) | [i] | ||
| 36 | Linear OA(4117, 150, F4, 59) (dual of [150, 33, 60]-code) | [i] | ||
| 37 | Linear OA(4115, 145, F4, 59) (dual of [145, 30, 60]-code) | [i] | ||
| 38 | Linear OA(4113, 140, F4, 59) (dual of [140, 27, 60]-code) | [i] | ||
| 39 | Linear OA(4156, 198, F4, 79) (dual of [198, 42, 80]-code) | [i] | ||
| 40 | Linear OA(4153, 192, F4, 79) (dual of [192, 39, 80]-code) | [i] | ||
| 41 | Linear OA(4150, 186, F4, 79) (dual of [186, 36, 80]-code) | [i] | ||
| 42 | Linear OA(4147, 180, F4, 79) (dual of [180, 33, 80]-code) | [i] | ||
| 43 | Linear OA(4144, 174, F4, 79) (dual of [174, 30, 80]-code) | [i] | ||
| 44 | Linear OA(4141, 168, F4, 79) (dual of [168, 27, 80]-code) | [i] | ||
| 45 | Linear OA(4138, 162, F4, 79) (dual of [162, 24, 80]-code) | [i] | ||
| 46 | Linear OA(4135, 156, F4, 79) (dual of [156, 21, 80]-code) | [i] | ||
| 47 | Linear OA(877, 117, F8, 39) (dual of [117, 40, 40]-code) | [i] | ||
| 48 | Linear OA(876, 114, F8, 39) (dual of [114, 38, 40]-code) | [i] | ||
| 49 | Linear OA(875, 111, F8, 39) (dual of [111, 36, 40]-code) | [i] | ||
| 50 | Linear OA(874, 108, F8, 39) (dual of [108, 34, 40]-code) | [i] | ||
| 51 | Linear OA(873, 105, F8, 39) (dual of [105, 32, 40]-code) | [i] | ||
| 52 | Linear OA(872, 102, F8, 39) (dual of [102, 30, 40]-code) | [i] | ||
| 53 | Linear OA(871, 99, F8, 39) (dual of [99, 28, 40]-code) | [i] | ||
| 54 | Linear OA(870, 96, F8, 39) (dual of [96, 26, 40]-code) | [i] | ||
| 55 | Linear OA(869, 93, F8, 39) (dual of [93, 24, 40]-code) | [i] | ||
| 56 | Linear OA(868, 90, F8, 39) (dual of [90, 22, 40]-code) | [i] | ||
| 57 | Linear OA(867, 87, F8, 39) (dual of [87, 20, 40]-code) | [i] | ||
| 58 | Linear OA(866, 84, F8, 39) (dual of [84, 18, 40]-code) | [i] | ||
| 59 | Linear OA(865, 81, F8, 39) (dual of [81, 16, 40]-code) | [i] | ||
| 60 | Linear OA(864, 78, F8, 39) (dual of [78, 14, 40]-code) | [i] | ||
| 61 | Linear OA(896, 116, F8, 59) (dual of [116, 20, 60]-code) | [i] | ||
| 62 | Linear OA(894, 112, F8, 59) (dual of [112, 18, 60]-code) | [i] | ||
| 63 | Linear OA(892, 108, F8, 59) (dual of [108, 16, 60]-code) | [i] | ||
| 64 | Linear OA(890, 104, F8, 59) (dual of [104, 14, 60]-code) | [i] | ||
| 65 | Linear OA(888, 100, F8, 59) (dual of [100, 12, 60]-code) | [i] | ||
| 66 | Linear OA(886, 96, F8, 59) (dual of [96, 10, 60]-code) | [i] | ||
| 67 | Linear OA(884, 92, F8, 59) (dual of [92, 8, 60]-code) | [i] | ||
| 68 | Linear OA(8116, 130, F8, 79) (dual of [130, 14, 80]-code) | [i] | ||
| 69 | Linear OA(8113, 125, F8, 79) (dual of [125, 12, 80]-code) | [i] | ||
| 70 | Linear OA(8110, 120, F8, 79) (dual of [120, 10, 80]-code) | [i] | ||
| 71 | Linear OA(8134, 144, F8, 99) (dual of [144, 10, 100]-code) | [i] | ||
| 72 | Linear OA(8130, 138, F8, 99) (dual of [138, 8, 100]-code) | [i] | ||
| 73 | Linear OA(8126, 132, F8, 99) (dual of [132, 6, 100]-code) | [i] | ||
| 74 | Linear OA(8153, 161, F8, 119) (dual of [161, 8, 120]-code) | [i] | ||
| 75 | Linear OA(8148, 154, F8, 119) (dual of [154, 6, 120]-code) | [i] | ||
| 76 | Linear OA(8170, 176, F8, 139) (dual of [176, 6, 140]-code) | [i] | ||
| 77 | Linear OOA(4202, 116, F4, 2, 119) (dual of [(116, 2), 30, 120]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 78 | Linear OOA(4197, 112, F4, 2, 119) (dual of [(112, 2), 27, 120]-NRT-code) | [i] | ||
| 79 | Linear OOA(4192, 108, F4, 2, 119) (dual of [(108, 2), 24, 120]-NRT-code) | [i] | ||
| 80 | Linear OOA(4187, 104, F4, 2, 119) (dual of [(104, 2), 21, 120]-NRT-code) | [i] | ||
| 81 | Linear OOA(4182, 100, F4, 2, 119) (dual of [(100, 2), 18, 120]-NRT-code) | [i] | ||
| 82 | Linear OOA(4177, 96, F4, 2, 119) (dual of [(96, 2), 15, 120]-NRT-code) | [i] | ||
| 83 | Linear OOA(4172, 92, F4, 2, 119) (dual of [(92, 2), 12, 120]-NRT-code) | [i] | ||
| 84 | Linear OOA(4167, 88, F4, 2, 119) (dual of [(88, 2), 9, 120]-NRT-code) | [i] | ||
| 85 | Linear OOA(4239, 130, F4, 2, 159) (dual of [(130, 2), 21, 160]-NRT-code) | [i] | ||
| 86 | Linear OOA(4232, 125, F4, 2, 159) (dual of [(125, 2), 18, 160]-NRT-code) | [i] | ||
| 87 | Linear OOA(4225, 120, F4, 2, 159) (dual of [(120, 2), 15, 160]-NRT-code) | [i] | ||
| 88 | Linear OOA(4218, 115, F4, 2, 159) (dual of [(115, 2), 12, 160]-NRT-code) | [i] | ||
| 89 | Linear OOA(4211, 110, F4, 2, 159) (dual of [(110, 2), 9, 160]-NRT-code) | [i] | ||
| 90 | Linear OOA(2258, 144, F2, 3, 79) (dual of [(144, 3), 174, 80]-NRT-code) | [i] | ||
| 91 | Linear OOA(2255, 141, F2, 3, 79) (dual of [(141, 3), 168, 80]-NRT-code) | [i] | ||
| 92 | Linear OOA(2252, 138, F2, 3, 79) (dual of [(138, 3), 162, 80]-NRT-code) | [i] | ||
| 93 | Linear OOA(2249, 135, F2, 3, 79) (dual of [(135, 3), 156, 80]-NRT-code) | [i] | ||
| 94 | Linear OOA(2246, 132, F2, 3, 79) (dual of [(132, 3), 150, 80]-NRT-code) | [i] | ||
| 95 | Linear OOA(2243, 129, F2, 3, 79) (dual of [(129, 3), 144, 80]-NRT-code) | [i] | ||
| 96 | Linear OOA(2240, 126, F2, 3, 79) (dual of [(126, 3), 138, 80]-NRT-code) | [i] | ||
| 97 | Linear OOA(2237, 123, F2, 3, 79) (dual of [(123, 3), 132, 80]-NRT-code) | [i] | ||
| 98 | Linear OOA(2234, 120, F2, 3, 79) (dual of [(120, 3), 126, 80]-NRT-code) | [i] | ||
| 99 | Linear OOA(2231, 117, F2, 3, 79) (dual of [(117, 3), 120, 80]-NRT-code) | [i] | ||
| 100 | Linear OOA(2228, 114, F2, 3, 79) (dual of [(114, 3), 114, 80]-NRT-code) | [i] | ||
| 101 | Linear OOA(2222, 108, F2, 3, 79) (dual of [(108, 3), 102, 80]-NRT-code) | [i] | ||
| 102 | Linear OOA(2219, 105, F2, 3, 79) (dual of [(105, 3), 96, 80]-NRT-code) | [i] | ||
| 103 | Linear OA(6491, 215, F64, 65) (dual of [215, 124, 66]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 104 | Linear OA(6490, 215, F64, 64) (dual of [215, 125, 65]-code) | [i] | ||
| 105 | Linear OA(6489, 215, F64, 63) (dual of [215, 126, 64]-code) | [i] | ||
| 106 | Linear OA(6488, 215, F64, 62) (dual of [215, 127, 63]-code) | [i] | ||
| 107 | Linear OA(6487, 215, F64, 61) (dual of [215, 128, 62]-code) | [i] | ||
| 108 | Linear OA(6486, 215, F64, 60) (dual of [215, 129, 61]-code) | [i] | ||
| 109 | Linear OA(6485, 215, F64, 59) (dual of [215, 130, 60]-code) | [i] | ||
| 110 | Linear OA(6484, 215, F64, 58) (dual of [215, 131, 59]-code) | [i] | ||
| 111 | Linear OA(6483, 215, F64, 57) (dual of [215, 132, 58]-code) | [i] | ||
| 112 | Linear OA(6482, 215, F64, 56) (dual of [215, 133, 57]-code) | [i] | ||
| 113 | Linear OA(6481, 215, F64, 55) (dual of [215, 134, 56]-code) | [i] | ||
| 114 | Linear OA(6480, 215, F64, 54) (dual of [215, 135, 55]-code) | [i] | ||
| 115 | Linear OA(6479, 215, F64, 53) (dual of [215, 136, 54]-code) | [i] | ||
| 116 | Linear OA(6478, 215, F64, 52) (dual of [215, 137, 53]-code) | [i] | ||
| 117 | Linear OA(6477, 215, F64, 51) (dual of [215, 138, 52]-code) | [i] | ||
| 118 | Linear OA(6476, 215, F64, 50) (dual of [215, 139, 51]-code) | [i] | ||
| 119 | Linear OA(6475, 215, F64, 49) (dual of [215, 140, 50]-code) | [i] | ||
| 120 | Linear OA(6474, 215, F64, 48) (dual of [215, 141, 49]-code) | [i] | ||
| 121 | Linear OA(6473, 215, F64, 47) (dual of [215, 142, 48]-code) | [i] | ||
| 122 | Linear OA(6472, 215, F64, 46) (dual of [215, 143, 47]-code) | [i] | ||
| 123 | Linear OA(6471, 215, F64, 45) (dual of [215, 144, 46]-code) | [i] | ||
| 124 | Linear OA(6470, 215, F64, 44) (dual of [215, 145, 45]-code) | [i] | ||
| 125 | Linear OA(6469, 215, F64, 43) (dual of [215, 146, 44]-code) | [i] | ||
| 126 | Linear OA(6468, 215, F64, 42) (dual of [215, 147, 43]-code) | [i] | ||
| 127 | Linear OA(6467, 215, F64, 41) (dual of [215, 148, 42]-code) | [i] | ||
| 128 | Linear OA(6466, 215, F64, 40) (dual of [215, 149, 41]-code) | [i] | ||
| 129 | Linear OA(6465, 215, F64, 39) (dual of [215, 150, 40]-code) | [i] | ||
| 130 | Linear OA(6464, 215, F64, 38) (dual of [215, 151, 39]-code) | [i] | ||
| 131 | Linear OA(6463, 215, F64, 37) (dual of [215, 152, 38]-code) | [i] | ||
| 132 | Linear OA(6462, 215, F64, 36) (dual of [215, 153, 37]-code) | [i] | ||
| 133 | Linear OA(6461, 215, F64, 35) (dual of [215, 154, 36]-code) | [i] | ||
| 134 | Linear OA(6460, 215, F64, 34) (dual of [215, 155, 35]-code) | [i] | ||