Information on Result #606509
Linear OA(647, 64, F64, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using Reed–Solomon code RS(57,64)
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(6486, 4124, F64, 31) (dual of [4124, 4038, 32]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(6488, 4127, F64, 31) (dual of [4127, 4039, 32]-code) | [i] | ||
| 3 | Linear OA(6489, 4130, F64, 31) (dual of [4130, 4041, 32]-code) | [i] | ||
| 4 | Linear OA(6484, 4123, F64, 30) (dual of [4123, 4039, 31]-code) | [i] | ||
| 5 | Linear OA(6486, 4126, F64, 30) (dual of [4126, 4040, 31]-code) | [i] | ||
| 6 | Linear OA(6482, 4124, F64, 29) (dual of [4124, 4042, 30]-code) | [i] | ||
| 7 | Linear OA(6483, 4127, F64, 29) (dual of [4127, 4044, 30]-code) | [i] | ||
| 8 | Linear OA(6480, 4123, F64, 28) (dual of [4123, 4043, 29]-code) | [i] | ||
| 9 | Linear OA(6488, 262172, F64, 23) (dual of [262172, 262084, 24]-code) | [i] | ||
| 10 | Linear OA(6491, 191, F64, 77) (dual of [191, 100, 78]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 11 | Linear OA(6490, 191, F64, 76) (dual of [191, 101, 77]-code) | [i] | ||
| 12 | Linear OA(6489, 191, F64, 75) (dual of [191, 102, 76]-code) | [i] | ||
| 13 | Linear OA(6488, 191, F64, 74) (dual of [191, 103, 75]-code) | [i] | ||
| 14 | Linear OA(6487, 191, F64, 73) (dual of [191, 104, 74]-code) | [i] | ||
| 15 | Linear OA(6486, 191, F64, 72) (dual of [191, 105, 73]-code) | [i] | ||
| 16 | Linear OA(6485, 191, F64, 71) (dual of [191, 106, 72]-code) | [i] | ||
| 17 | Linear OA(6484, 191, F64, 70) (dual of [191, 107, 71]-code) | [i] | ||
| 18 | Linear OA(6483, 191, F64, 69) (dual of [191, 108, 70]-code) | [i] | ||
| 19 | Linear OA(6482, 191, F64, 68) (dual of [191, 109, 69]-code) | [i] | ||
| 20 | Linear OA(6481, 191, F64, 67) (dual of [191, 110, 68]-code) | [i] | ||
| 21 | Linear OA(6480, 191, F64, 66) (dual of [191, 111, 67]-code) | [i] | ||
| 22 | Linear OA(6479, 191, F64, 65) (dual of [191, 112, 66]-code) | [i] | ||
| 23 | Linear OA(6478, 191, F64, 64) (dual of [191, 113, 65]-code) | [i] | ||
| 24 | Linear OA(6477, 191, F64, 63) (dual of [191, 114, 64]-code) | [i] | ||
| 25 | Linear OA(6476, 191, F64, 62) (dual of [191, 115, 63]-code) | [i] | ||
| 26 | Linear OA(6475, 191, F64, 61) (dual of [191, 116, 62]-code) | [i] | ||
| 27 | Linear OA(6474, 191, F64, 60) (dual of [191, 117, 61]-code) | [i] | ||
| 28 | Linear OA(6473, 191, F64, 59) (dual of [191, 118, 60]-code) | [i] | ||
| 29 | Linear OA(6472, 191, F64, 58) (dual of [191, 119, 59]-code) | [i] | ||
| 30 | Linear OA(6471, 191, F64, 57) (dual of [191, 120, 58]-code) | [i] | ||
| 31 | Linear OA(6470, 191, F64, 56) (dual of [191, 121, 57]-code) | [i] | ||
| 32 | Linear OA(6469, 191, F64, 55) (dual of [191, 122, 56]-code) | [i] | ||
| 33 | Linear OA(6468, 191, F64, 54) (dual of [191, 123, 55]-code) | [i] | ||
| 34 | Linear OA(6467, 191, F64, 53) (dual of [191, 124, 54]-code) | [i] | ||
| 35 | Linear OA(6466, 191, F64, 52) (dual of [191, 125, 53]-code) | [i] | ||
| 36 | Linear OA(6465, 191, F64, 51) (dual of [191, 126, 52]-code) | [i] | ||
| 37 | Linear OA(6464, 191, F64, 50) (dual of [191, 127, 51]-code) | [i] | ||
| 38 | Linear OA(6463, 191, F64, 49) (dual of [191, 128, 50]-code) | [i] | ||
| 39 | Linear OA(6462, 191, F64, 48) (dual of [191, 129, 49]-code) | [i] | ||
| 40 | Linear OA(6461, 191, F64, 47) (dual of [191, 130, 48]-code) | [i] | ||
| 41 | Linear OA(6460, 191, F64, 46) (dual of [191, 131, 47]-code) | [i] | ||
| 42 | Linear OA(6459, 191, F64, 45) (dual of [191, 132, 46]-code) | [i] | ||
| 43 | Linear OA(6458, 191, F64, 44) (dual of [191, 133, 45]-code) | [i] | ||
| 44 | Linear OA(6457, 191, F64, 43) (dual of [191, 134, 44]-code) | [i] | ||
| 45 | Linear OA(6456, 191, F64, 42) (dual of [191, 135, 43]-code) | [i] | ||
| 46 | Linear OA(6455, 191, F64, 41) (dual of [191, 136, 42]-code) | [i] | ||
| 47 | Linear OA(6454, 191, F64, 40) (dual of [191, 137, 41]-code) | [i] | ||
| 48 | Linear OA(6453, 191, F64, 39) (dual of [191, 138, 40]-code) | [i] | ||
| 49 | Linear OA(6452, 191, F64, 38) (dual of [191, 139, 39]-code) | [i] | ||
| 50 | Linear OA(6451, 191, F64, 37) (dual of [191, 140, 38]-code) | [i] | ||
| 51 | Linear OA(6450, 191, F64, 36) (dual of [191, 141, 37]-code) | [i] | ||
| 52 | Linear OA(6449, 191, F64, 35) (dual of [191, 142, 36]-code) | [i] | ||
| 53 | Linear OA(6448, 191, F64, 34) (dual of [191, 143, 35]-code) | [i] | ||
| 54 | Linear OA(6447, 191, F64, 33) (dual of [191, 144, 34]-code) | [i] | ||
| 55 | Linear OA(6446, 191, F64, 32) (dual of [191, 145, 33]-code) | [i] | ||
| 56 | Linear OA(6445, 191, F64, 31) (dual of [191, 146, 32]-code) | [i] | ||
| 57 | Linear OA(6444, 191, F64, 30) (dual of [191, 147, 31]-code) | [i] | ||
| 58 | Linear OA(6443, 191, F64, 29) (dual of [191, 148, 30]-code) | [i] | ||
| 59 | Linear OA(6442, 191, F64, 28) (dual of [191, 149, 29]-code) | [i] | ||
| 60 | Linear OA(6441, 191, F64, 27) (dual of [191, 150, 28]-code) | [i] | ||
| 61 | Linear OA(6440, 191, F64, 26) (dual of [191, 151, 27]-code) | [i] | ||
| 62 | Linear OA(6439, 191, F64, 25) (dual of [191, 152, 26]-code) | [i] | ||
| 63 | Linear OA(6438, 191, F64, 24) (dual of [191, 153, 25]-code) | [i] | ||
| 64 | Linear OA(6437, 191, F64, 23) (dual of [191, 154, 24]-code) | [i] | ||
| 65 | Linear OA(6491, 527, F64, 56) (dual of [527, 436, 57]-code) | [i] | ||
| 66 | Linear OA(6490, 527, F64, 55) (dual of [527, 437, 56]-code) | [i] | ||
| 67 | Linear OA(6489, 527, F64, 54) (dual of [527, 438, 55]-code) | [i] | ||
| 68 | Linear OA(6488, 527, F64, 53) (dual of [527, 439, 54]-code) | [i] | ||
| 69 | Linear OA(6487, 527, F64, 52) (dual of [527, 440, 53]-code) | [i] | ||
| 70 | Linear OA(6486, 527, F64, 51) (dual of [527, 441, 52]-code) | [i] | ||
| 71 | Linear OA(6485, 527, F64, 50) (dual of [527, 442, 51]-code) | [i] | ||
| 72 | Linear OA(6484, 527, F64, 49) (dual of [527, 443, 50]-code) | [i] | ||
| 73 | Linear OA(6483, 527, F64, 48) (dual of [527, 444, 49]-code) | [i] | ||
| 74 | Linear OA(6482, 527, F64, 47) (dual of [527, 445, 48]-code) | [i] | ||
| 75 | Linear OA(6481, 527, F64, 46) (dual of [527, 446, 47]-code) | [i] | ||
| 76 | Linear OA(6480, 527, F64, 45) (dual of [527, 447, 46]-code) | [i] | ||
| 77 | Linear OA(6479, 527, F64, 44) (dual of [527, 448, 45]-code) | [i] | ||
| 78 | Linear OA(6478, 527, F64, 43) (dual of [527, 449, 44]-code) | [i] | ||
| 79 | Linear OA(6477, 527, F64, 42) (dual of [527, 450, 43]-code) | [i] | ||
| 80 | Linear OA(6476, 527, F64, 41) (dual of [527, 451, 42]-code) | [i] | ||
| 81 | Linear OA(6461, 4115, F64, 23) (dual of [4115, 4054, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 82 | Linear OA(6462, 4117, F64, 23) (dual of [4117, 4055, 24]-code) | [i] | ||
| 83 | Linear OA(6483, 262163, F64, 23) (dual of [262163, 262080, 24]-code) | [i] | ||
| 84 | Linear OA(6484, 262165, F64, 23) (dual of [262165, 262081, 24]-code) | [i] | ||
| 85 | Linear OA(6459, 4114, F64, 22) (dual of [4114, 4055, 23]-code) | [i] | ||
| 86 | Linear OA(6460, 4116, F64, 22) (dual of [4116, 4056, 23]-code) | [i] | ||
| 87 | Linear OA(6480, 262162, F64, 22) (dual of [262162, 262082, 23]-code) | [i] | ||
| 88 | Linear OA(6481, 262164, F64, 22) (dual of [262164, 262083, 23]-code) | [i] | ||
| 89 | Linear OA(6457, 4115, F64, 21) (dual of [4115, 4058, 22]-code) | [i] | ||
| 90 | Linear OA(6477, 262163, F64, 21) (dual of [262163, 262086, 22]-code) | [i] | ||
| 91 | Linear OA(6486, 262176, F64, 27) (dual of [262176, 262090, 28]-code) | [i] | Construction X with Cyclic Codes | |
| 92 | Linear OA(6480, 262176, F64, 25) (dual of [262176, 262096, 26]-code) | [i] | ||
| 93 | Linear OA(6474, 262176, F64, 23) (dual of [262176, 262102, 24]-code) | [i] | ||
| 94 | Linear OA(6468, 262176, F64, 21) (dual of [262176, 262108, 22]-code) | [i] | ||
| 95 | Linear OA(6462, 262176, F64, 19) (dual of [262176, 262114, 20]-code) | [i] | ||
| 96 | Linear OA(6456, 262176, F64, 17) (dual of [262176, 262120, 18]-code) | [i] | ||
| 97 | Linear OA(6488, 4120, F64, 41) (dual of [4120, 4032, 42]-code) | [i] | ||
| 98 | Linear OA(6484, 4120, F64, 39) (dual of [4120, 4036, 40]-code) | [i] | ||
| 99 | Linear OA(6480, 4120, F64, 37) (dual of [4120, 4040, 38]-code) | [i] | ||
| 100 | Linear OA(6476, 4120, F64, 35) (dual of [4120, 4044, 36]-code) | [i] | ||
| 101 | Linear OA(6472, 4120, F64, 33) (dual of [4120, 4048, 34]-code) | [i] | ||
| 102 | Linear OA(6468, 4120, F64, 31) (dual of [4120, 4052, 32]-code) | [i] | ||
| 103 | Linear OA(6464, 4120, F64, 29) (dual of [4120, 4056, 30]-code) | [i] | ||
| 104 | Linear OA(6460, 4120, F64, 27) (dual of [4120, 4060, 28]-code) | [i] | ||
| 105 | Linear OA(6456, 4120, F64, 25) (dual of [4120, 4064, 26]-code) | [i] | ||
| 106 | Linear OA(6452, 4120, F64, 23) (dual of [4120, 4068, 24]-code) | [i] | ||
| 107 | Linear OA(6448, 4120, F64, 21) (dual of [4120, 4072, 22]-code) | [i] | ||
| 108 | Linear OA(6444, 4120, F64, 19) (dual of [4120, 4076, 20]-code) | [i] | ||
| 109 | Linear OA(6440, 4120, F64, 17) (dual of [4120, 4080, 18]-code) | [i] | ||
| 110 | Linear OA(6489, 262175, F64, 28) (dual of [262175, 262086, 29]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 111 | Linear OA(6483, 262175, F64, 26) (dual of [262175, 262092, 27]-code) | [i] | ||
| 112 | Linear OA(6477, 262175, F64, 24) (dual of [262175, 262098, 25]-code) | [i] | ||
| 113 | Linear OA(6471, 262175, F64, 22) (dual of [262175, 262104, 23]-code) | [i] | ||
| 114 | Linear OA(6465, 262175, F64, 20) (dual of [262175, 262110, 21]-code) | [i] | ||
| 115 | Linear OA(6459, 262175, F64, 18) (dual of [262175, 262116, 19]-code) | [i] | ||
| 116 | Linear OA(6453, 262175, F64, 16) (dual of [262175, 262122, 17]-code) | [i] | ||
| 117 | Linear OA(6490, 4119, F64, 42) (dual of [4119, 4029, 43]-code) | [i] | ||
| 118 | Linear OA(6486, 4119, F64, 40) (dual of [4119, 4033, 41]-code) | [i] | ||
| 119 | Linear OA(6482, 4119, F64, 38) (dual of [4119, 4037, 39]-code) | [i] | ||
| 120 | Linear OA(6478, 4119, F64, 36) (dual of [4119, 4041, 37]-code) | [i] | ||
| 121 | Linear OA(6474, 4119, F64, 34) (dual of [4119, 4045, 35]-code) | [i] | ||
| 122 | Linear OA(6470, 4119, F64, 32) (dual of [4119, 4049, 33]-code) | [i] | ||
| 123 | Linear OA(6466, 4119, F64, 30) (dual of [4119, 4053, 31]-code) | [i] | ||
| 124 | Linear OA(6462, 4119, F64, 28) (dual of [4119, 4057, 29]-code) | [i] | ||
| 125 | Linear OA(6458, 4119, F64, 26) (dual of [4119, 4061, 27]-code) | [i] | ||
| 126 | Linear OA(6454, 4119, F64, 24) (dual of [4119, 4065, 25]-code) | [i] | ||
| 127 | Linear OA(6450, 4119, F64, 22) (dual of [4119, 4069, 23]-code) | [i] | ||
| 128 | Linear OA(6446, 4119, F64, 20) (dual of [4119, 4073, 21]-code) | [i] | ||
| 129 | Linear OA(6442, 4119, F64, 18) (dual of [4119, 4077, 19]-code) | [i] | ||
| 130 | Linear OA(6438, 4119, F64, 16) (dual of [4119, 4081, 17]-code) | [i] | ||