Information on Result #606569
Linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using Reed–Solomon code RS(77,81)
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(8153, 6580, F81, 19) (dual of [6580, 6527, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(8171, 531460, F81, 19) (dual of [531460, 531389, 20]-code) | [i] | ||
| 3 | Linear OA(8172, 531463, F81, 19) (dual of [531463, 531391, 20]-code) | [i] | ||
| 4 | Linear OA(8168, 531459, F81, 18) (dual of [531459, 531391, 19]-code) | [i] | ||
| 5 | Linear OA(8164, 531460, F81, 17) (dual of [531460, 531396, 18]-code) | [i] | ||
| 6 | Linear OA(8182, 180, F81, 71) (dual of [180, 98, 72]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 7 | Linear OA(8181, 180, F81, 70) (dual of [180, 99, 71]-code) | [i] | ||
| 8 | Linear OA(8180, 180, F81, 69) (dual of [180, 100, 70]-code) | [i] | ||
| 9 | Linear OA(8179, 180, F81, 68) (dual of [180, 101, 69]-code) | [i] | ||
| 10 | Linear OA(8178, 180, F81, 67) (dual of [180, 102, 68]-code) | [i] | ||
| 11 | Linear OA(8177, 180, F81, 66) (dual of [180, 103, 67]-code) | [i] | ||
| 12 | Linear OA(8176, 180, F81, 65) (dual of [180, 104, 66]-code) | [i] | ||
| 13 | Linear OA(8175, 180, F81, 64) (dual of [180, 105, 65]-code) | [i] | ||
| 14 | Linear OA(8174, 180, F81, 63) (dual of [180, 106, 64]-code) | [i] | ||
| 15 | Linear OA(8173, 180, F81, 62) (dual of [180, 107, 63]-code) | [i] | ||
| 16 | Linear OA(8172, 180, F81, 61) (dual of [180, 108, 62]-code) | [i] | ||
| 17 | Linear OA(8171, 180, F81, 60) (dual of [180, 109, 61]-code) | [i] | ||
| 18 | Linear OA(8170, 180, F81, 59) (dual of [180, 110, 60]-code) | [i] | ||
| 19 | Linear OA(8169, 180, F81, 58) (dual of [180, 111, 59]-code) | [i] | ||
| 20 | Linear OA(8168, 180, F81, 57) (dual of [180, 112, 58]-code) | [i] | ||
| 21 | Linear OA(8167, 180, F81, 56) (dual of [180, 113, 57]-code) | [i] | ||
| 22 | Linear OA(8166, 180, F81, 55) (dual of [180, 114, 56]-code) | [i] | ||
| 23 | Linear OA(8165, 180, F81, 54) (dual of [180, 115, 55]-code) | [i] | ||
| 24 | Linear OA(8164, 180, F81, 53) (dual of [180, 116, 54]-code) | [i] | ||
| 25 | Linear OA(8163, 180, F81, 52) (dual of [180, 117, 53]-code) | [i] | ||
| 26 | Linear OA(8162, 180, F81, 51) (dual of [180, 118, 52]-code) | [i] | ||
| 27 | Linear OA(8161, 180, F81, 50) (dual of [180, 119, 51]-code) | [i] | ||
| 28 | Linear OA(8160, 180, F81, 49) (dual of [180, 120, 50]-code) | [i] | ||
| 29 | Linear OA(8159, 180, F81, 48) (dual of [180, 121, 49]-code) | [i] | ||
| 30 | Linear OA(8158, 180, F81, 47) (dual of [180, 122, 48]-code) | [i] | ||
| 31 | Linear OA(8157, 180, F81, 46) (dual of [180, 123, 47]-code) | [i] | ||
| 32 | Linear OA(8156, 180, F81, 45) (dual of [180, 124, 46]-code) | [i] | ||
| 33 | Linear OA(8155, 180, F81, 44) (dual of [180, 125, 45]-code) | [i] | ||
| 34 | Linear OA(8154, 180, F81, 43) (dual of [180, 126, 44]-code) | [i] | ||
| 35 | Linear OA(8153, 180, F81, 42) (dual of [180, 127, 43]-code) | [i] | ||
| 36 | Linear OA(8152, 180, F81, 41) (dual of [180, 128, 42]-code) | [i] | ||
| 37 | Linear OA(8151, 180, F81, 40) (dual of [180, 129, 41]-code) | [i] | ||
| 38 | Linear OA(8150, 180, F81, 39) (dual of [180, 130, 40]-code) | [i] | ||
| 39 | Linear OA(8149, 180, F81, 38) (dual of [180, 131, 39]-code) | [i] | ||
| 40 | Linear OA(8148, 180, F81, 37) (dual of [180, 132, 38]-code) | [i] | ||
| 41 | Linear OA(8147, 180, F81, 36) (dual of [180, 133, 37]-code) | [i] | ||
| 42 | Linear OA(8146, 180, F81, 35) (dual of [180, 134, 36]-code) | [i] | ||
| 43 | Linear OA(8145, 180, F81, 34) (dual of [180, 135, 35]-code) | [i] | ||
| 44 | Linear OA(8144, 180, F81, 33) (dual of [180, 136, 34]-code) | [i] | ||
| 45 | Linear OA(8143, 180, F81, 32) (dual of [180, 137, 33]-code) | [i] | ||
| 46 | Linear OA(8142, 180, F81, 31) (dual of [180, 138, 32]-code) | [i] | ||
| 47 | Linear OA(8141, 180, F81, 30) (dual of [180, 139, 31]-code) | [i] | ||
| 48 | Linear OA(8140, 180, F81, 29) (dual of [180, 140, 30]-code) | [i] | ||
| 49 | Linear OA(8139, 180, F81, 28) (dual of [180, 141, 29]-code) | [i] | ||
| 50 | Linear OA(8138, 180, F81, 27) (dual of [180, 142, 28]-code) | [i] | ||
| 51 | Linear OA(8137, 180, F81, 26) (dual of [180, 143, 27]-code) | [i] | ||
| 52 | Linear OA(8136, 180, F81, 25) (dual of [180, 144, 26]-code) | [i] | ||
| 53 | Linear OA(8135, 180, F81, 24) (dual of [180, 145, 25]-code) | [i] | ||
| 54 | Linear OA(8134, 180, F81, 23) (dual of [180, 146, 24]-code) | [i] | ||
| 55 | Linear OA(8133, 180, F81, 22) (dual of [180, 147, 23]-code) | [i] | ||
| 56 | Linear OA(8132, 180, F81, 21) (dual of [180, 148, 22]-code) | [i] | ||
| 57 | Linear OA(8131, 180, F81, 20) (dual of [180, 149, 21]-code) | [i] | ||
| 58 | Linear OA(8130, 180, F81, 19) (dual of [180, 150, 20]-code) | [i] | ||
| 59 | Linear OA(8129, 180, F81, 18) (dual of [180, 151, 19]-code) | [i] | ||
| 60 | Linear OA(8128, 180, F81, 17) (dual of [180, 152, 18]-code) | [i] | ||
| 61 | Linear OA(8127, 180, F81, 16) (dual of [180, 153, 17]-code) | [i] | ||
| 62 | Linear OA(8126, 180, F81, 15) (dual of [180, 154, 16]-code) | [i] | ||
| 63 | Linear OA(8182, 378, F81, 62) (dual of [378, 296, 63]-code) | [i] | ||
| 64 | Linear OA(8181, 378, F81, 61) (dual of [378, 297, 62]-code) | [i] | ||
| 65 | Linear OA(8180, 378, F81, 60) (dual of [378, 298, 61]-code) | [i] | ||
| 66 | Linear OA(8179, 378, F81, 59) (dual of [378, 299, 60]-code) | [i] | ||
| 67 | Linear OA(8178, 378, F81, 58) (dual of [378, 300, 59]-code) | [i] | ||
| 68 | Linear OA(8177, 378, F81, 57) (dual of [378, 301, 58]-code) | [i] | ||
| 69 | Linear OA(8176, 378, F81, 56) (dual of [378, 302, 57]-code) | [i] | ||
| 70 | Linear OA(8175, 378, F81, 55) (dual of [378, 303, 56]-code) | [i] | ||
| 71 | Linear OA(8174, 378, F81, 54) (dual of [378, 304, 55]-code) | [i] | ||
| 72 | Linear OA(8173, 378, F81, 53) (dual of [378, 305, 54]-code) | [i] | ||
| 73 | Linear OA(8172, 378, F81, 52) (dual of [378, 306, 53]-code) | [i] | ||
| 74 | Linear OA(8171, 378, F81, 51) (dual of [378, 307, 52]-code) | [i] | ||
| 75 | Linear OA(8170, 378, F81, 50) (dual of [378, 308, 51]-code) | [i] | ||
| 76 | Linear OA(8169, 378, F81, 49) (dual of [378, 309, 50]-code) | [i] | ||
| 77 | Linear OA(8168, 378, F81, 48) (dual of [378, 310, 49]-code) | [i] | ||
| 78 | Linear OA(8167, 378, F81, 47) (dual of [378, 311, 48]-code) | [i] | ||
| 79 | Linear OA(8166, 378, F81, 46) (dual of [378, 312, 47]-code) | [i] | ||
| 80 | Linear OA(8165, 378, F81, 45) (dual of [378, 313, 46]-code) | [i] | ||
| 81 | Linear OA(8164, 378, F81, 44) (dual of [378, 314, 45]-code) | [i] | ||
| 82 | Linear OA(8163, 378, F81, 43) (dual of [378, 315, 44]-code) | [i] | ||
| 83 | Linear OA(8162, 378, F81, 42) (dual of [378, 316, 43]-code) | [i] | ||
| 84 | Linear OA(8161, 378, F81, 41) (dual of [378, 317, 42]-code) | [i] | ||
| 85 | Linear OA(8160, 378, F81, 40) (dual of [378, 318, 41]-code) | [i] | ||
| 86 | Linear OA(8159, 378, F81, 39) (dual of [378, 319, 40]-code) | [i] | ||
| 87 | Linear OA(8158, 378, F81, 38) (dual of [378, 320, 39]-code) | [i] | ||
| 88 | Linear OA(8157, 378, F81, 37) (dual of [378, 321, 38]-code) | [i] | ||
| 89 | Linear OA(8156, 378, F81, 36) (dual of [378, 322, 37]-code) | [i] | ||
| 90 | Linear OA(8155, 378, F81, 35) (dual of [378, 323, 36]-code) | [i] | ||
| 91 | Linear OA(8154, 378, F81, 34) (dual of [378, 324, 35]-code) | [i] | ||
| 92 | Linear OA(8153, 378, F81, 33) (dual of [378, 325, 34]-code) | [i] | ||
| 93 | Linear OA(8152, 378, F81, 32) (dual of [378, 326, 33]-code) | [i] | ||
| 94 | Linear OA(8151, 378, F81, 31) (dual of [378, 327, 32]-code) | [i] | ||
| 95 | Linear OA(8150, 378, F81, 30) (dual of [378, 328, 31]-code) | [i] | ||
| 96 | Linear OA(8149, 378, F81, 29) (dual of [378, 329, 30]-code) | [i] | ||
| 97 | Linear OA(8148, 378, F81, 28) (dual of [378, 330, 29]-code) | [i] | ||
| 98 | Linear OA(8147, 378, F81, 27) (dual of [378, 331, 28]-code) | [i] | ||
| 99 | Linear OA(8146, 378, F81, 26) (dual of [378, 332, 27]-code) | [i] | ||
| 100 | Linear OA(8137, 6573, F81, 14) (dual of [6573, 6536, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 101 | Linear OA(8150, 531453, F81, 14) (dual of [531453, 531403, 15]-code) | [i] | ||
| 102 | Linear OA(8180, 531460, F81, 26) (dual of [531460, 531380, 27]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 103 | Linear OA(8177, 531460, F81, 25) (dual of [531460, 531383, 26]-code) | [i] | ||
| 104 | Linear OA(8174, 531460, F81, 24) (dual of [531460, 531386, 25]-code) | [i] | ||
| 105 | Linear OA(8171, 531460, F81, 23) (dual of [531460, 531389, 24]-code) | [i] | ||
| 106 | Linear OA(8168, 531460, F81, 22) (dual of [531460, 531392, 23]-code) | [i] | ||
| 107 | Linear OA(8165, 531460, F81, 21) (dual of [531460, 531395, 22]-code) | [i] | ||
| 108 | Linear OA(8162, 531460, F81, 20) (dual of [531460, 531398, 21]-code) | [i] | ||
| 109 | Linear OA(8159, 531460, F81, 19) (dual of [531460, 531401, 20]-code) | [i] | ||
| 110 | Linear OA(8156, 531460, F81, 18) (dual of [531460, 531404, 19]-code) | [i] | ||
| 111 | Linear OA(8153, 531460, F81, 17) (dual of [531460, 531407, 18]-code) | [i] | ||
| 112 | Linear OA(8150, 531460, F81, 16) (dual of [531460, 531410, 17]-code) | [i] | ||
| 113 | Linear OA(8147, 531460, F81, 15) (dual of [531460, 531413, 16]-code) | [i] | ||
| 114 | Linear OA(8144, 531460, F81, 14) (dual of [531460, 531416, 15]-code) | [i] | ||
| 115 | Linear OA(8141, 531460, F81, 13) (dual of [531460, 531419, 14]-code) | [i] | ||
| 116 | Linear OA(8138, 531460, F81, 12) (dual of [531460, 531422, 13]-code) | [i] | ||
| 117 | Linear OA(8135, 531460, F81, 11) (dual of [531460, 531425, 12]-code) | [i] | ||
| 118 | Linear OA(8132, 531460, F81, 10) (dual of [531460, 531428, 11]-code) | [i] | ||
| 119 | Linear OA(8181, 6575, F81, 39) (dual of [6575, 6494, 40]-code) | [i] | ||
| 120 | Linear OA(8179, 6575, F81, 38) (dual of [6575, 6496, 39]-code) | [i] | ||
| 121 | Linear OA(8177, 6575, F81, 37) (dual of [6575, 6498, 38]-code) | [i] | ||
| 122 | Linear OA(8175, 6575, F81, 36) (dual of [6575, 6500, 37]-code) | [i] | ||
| 123 | Linear OA(8173, 6575, F81, 35) (dual of [6575, 6502, 36]-code) | [i] | ||
| 124 | Linear OA(8171, 6575, F81, 34) (dual of [6575, 6504, 35]-code) | [i] | ||
| 125 | Linear OA(8169, 6575, F81, 33) (dual of [6575, 6506, 34]-code) | [i] | ||
| 126 | Linear OA(8167, 6575, F81, 32) (dual of [6575, 6508, 33]-code) | [i] | ||
| 127 | Linear OA(8165, 6575, F81, 31) (dual of [6575, 6510, 32]-code) | [i] | ||
| 128 | Linear OA(8163, 6575, F81, 30) (dual of [6575, 6512, 31]-code) | [i] | ||
| 129 | Linear OA(8161, 6575, F81, 29) (dual of [6575, 6514, 30]-code) | [i] | ||
| 130 | Linear OA(8159, 6575, F81, 28) (dual of [6575, 6516, 29]-code) | [i] | ||
| 131 | Linear OA(8157, 6575, F81, 27) (dual of [6575, 6518, 28]-code) | [i] | ||
| 132 | Linear OA(8155, 6575, F81, 26) (dual of [6575, 6520, 27]-code) | [i] | ||
| 133 | Linear OA(8153, 6575, F81, 25) (dual of [6575, 6522, 26]-code) | [i] | ||
| 134 | Linear OA(8151, 6575, F81, 24) (dual of [6575, 6524, 25]-code) | [i] | ||
| 135 | Linear OA(8149, 6575, F81, 23) (dual of [6575, 6526, 24]-code) | [i] | ||
| 136 | Linear OA(8147, 6575, F81, 22) (dual of [6575, 6528, 23]-code) | [i] | ||
| 137 | Linear OA(8145, 6575, F81, 21) (dual of [6575, 6530, 22]-code) | [i] | ||
| 138 | Linear OA(8143, 6575, F81, 20) (dual of [6575, 6532, 21]-code) | [i] | ||
| 139 | Linear OA(8141, 6575, F81, 19) (dual of [6575, 6534, 20]-code) | [i] | ||
| 140 | Linear OA(8139, 6575, F81, 18) (dual of [6575, 6536, 19]-code) | [i] | ||
| 141 | Linear OA(8137, 6575, F81, 17) (dual of [6575, 6538, 18]-code) | [i] | ||
| 142 | Linear OA(8135, 6575, F81, 16) (dual of [6575, 6540, 17]-code) | [i] | ||
| 143 | Linear OA(8133, 6575, F81, 15) (dual of [6575, 6542, 16]-code) | [i] | ||
| 144 | Linear OA(8131, 6575, F81, 14) (dual of [6575, 6544, 15]-code) | [i] | ||
| 145 | Linear OA(8129, 6575, F81, 13) (dual of [6575, 6546, 14]-code) | [i] | ||
| 146 | Linear OA(8127, 6575, F81, 12) (dual of [6575, 6548, 13]-code) | [i] | ||
| 147 | Linear OA(8125, 6575, F81, 11) (dual of [6575, 6550, 12]-code) | [i] | ||
| 148 | Linear OA(8123, 6575, F81, 10) (dual of [6575, 6552, 11]-code) | [i] | ||