Information on Result #606650
Linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using Reed–Solomon code RS(123,128)
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(12878, 16413, F128, 27) (dual of [16413, 16335, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(12864, 16406, F128, 23) (dual of [16406, 16342, 24]-code) | [i] | ||
| 3 | Linear OA(12865, 16409, F128, 23) (dual of [16409, 16344, 24]-code) | [i] | ||
| 4 | Linear OA(12866, 16412, F128, 23) (dual of [16412, 16346, 24]-code) | [i] | ||
| 5 | Linear OA(12862, 16405, F128, 22) (dual of [16405, 16343, 23]-code) | [i] | ||
| 6 | Linear OA(12863, 16408, F128, 22) (dual of [16408, 16345, 23]-code) | [i] | ||
| 7 | Linear OA(12860, 16406, F128, 21) (dual of [16406, 16346, 22]-code) | [i] | ||
| 8 | Linear OA(12857, 16405, F128, 20) (dual of [16405, 16348, 21]-code) | [i] | ||
| 9 | Linear OA(12876, 2097173, F128, 20) (dual of [2097173, 2097097, 21]-code) | [i] | ||
| 10 | Linear OA(12878, 298, F128, 64) (dual of [298, 220, 65]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 11 | Linear OA(12877, 298, F128, 63) (dual of [298, 221, 64]-code) | [i] | ||
| 12 | Linear OA(12876, 298, F128, 62) (dual of [298, 222, 63]-code) | [i] | ||
| 13 | Linear OA(12875, 298, F128, 61) (dual of [298, 223, 62]-code) | [i] | ||
| 14 | Linear OA(12874, 298, F128, 60) (dual of [298, 224, 61]-code) | [i] | ||
| 15 | Linear OA(12873, 298, F128, 59) (dual of [298, 225, 60]-code) | [i] | ||
| 16 | Linear OA(12872, 298, F128, 58) (dual of [298, 226, 59]-code) | [i] | ||
| 17 | Linear OA(12871, 298, F128, 57) (dual of [298, 227, 58]-code) | [i] | ||
| 18 | Linear OA(12870, 298, F128, 56) (dual of [298, 228, 57]-code) | [i] | ||
| 19 | Linear OA(12869, 298, F128, 55) (dual of [298, 229, 56]-code) | [i] | ||
| 20 | Linear OA(12868, 298, F128, 54) (dual of [298, 230, 55]-code) | [i] | ||
| 21 | Linear OA(12867, 298, F128, 53) (dual of [298, 231, 54]-code) | [i] | ||
| 22 | Linear OA(12866, 298, F128, 52) (dual of [298, 232, 53]-code) | [i] | ||
| 23 | Linear OA(12865, 298, F128, 51) (dual of [298, 233, 52]-code) | [i] | ||
| 24 | Linear OA(12864, 298, F128, 50) (dual of [298, 234, 51]-code) | [i] | ||
| 25 | Linear OA(12863, 298, F128, 49) (dual of [298, 235, 50]-code) | [i] | ||
| 26 | Linear OA(12862, 298, F128, 48) (dual of [298, 236, 49]-code) | [i] | ||
| 27 | Linear OA(12861, 298, F128, 47) (dual of [298, 237, 48]-code) | [i] | ||
| 28 | Linear OA(12860, 298, F128, 46) (dual of [298, 238, 47]-code) | [i] | ||
| 29 | Linear OA(12859, 298, F128, 45) (dual of [298, 239, 46]-code) | [i] | ||
| 30 | Linear OA(12858, 298, F128, 44) (dual of [298, 240, 45]-code) | [i] | ||
| 31 | Linear OA(12857, 298, F128, 43) (dual of [298, 241, 44]-code) | [i] | ||
| 32 | Linear OA(12856, 298, F128, 42) (dual of [298, 242, 43]-code) | [i] | ||
| 33 | Linear OA(12855, 298, F128, 41) (dual of [298, 243, 42]-code) | [i] | ||
| 34 | Linear OA(12854, 298, F128, 40) (dual of [298, 244, 41]-code) | [i] | ||
| 35 | Linear OA(12853, 298, F128, 39) (dual of [298, 245, 40]-code) | [i] | ||
| 36 | Linear OA(12852, 298, F128, 38) (dual of [298, 246, 39]-code) | [i] | ||
| 37 | Linear OA(12851, 298, F128, 37) (dual of [298, 247, 38]-code) | [i] | ||
| 38 | Linear OA(12850, 298, F128, 36) (dual of [298, 248, 37]-code) | [i] | ||
| 39 | Linear OA(12849, 298, F128, 35) (dual of [298, 249, 36]-code) | [i] | ||
| 40 | Linear OA(12848, 298, F128, 34) (dual of [298, 250, 35]-code) | [i] | ||
| 41 | Linear OA(12847, 298, F128, 33) (dual of [298, 251, 34]-code) | [i] | ||
| 42 | Linear OA(12846, 298, F128, 32) (dual of [298, 252, 33]-code) | [i] | ||
| 43 | Linear OA(12845, 298, F128, 31) (dual of [298, 253, 32]-code) | [i] | ||
| 44 | Linear OA(12844, 298, F128, 30) (dual of [298, 254, 31]-code) | [i] | ||
| 45 | Linear OA(12843, 298, F128, 29) (dual of [298, 255, 30]-code) | [i] | ||
| 46 | Linear OA(12842, 298, F128, 28) (dual of [298, 256, 29]-code) | [i] | ||
| 47 | Linear OA(12841, 298, F128, 27) (dual of [298, 257, 28]-code) | [i] | ||
| 48 | Linear OA(12840, 298, F128, 26) (dual of [298, 258, 27]-code) | [i] | ||
| 49 | Linear OA(12839, 298, F128, 25) (dual of [298, 259, 26]-code) | [i] | ||
| 50 | Linear OA(12838, 298, F128, 24) (dual of [298, 260, 25]-code) | [i] | ||
| 51 | Linear OA(12837, 298, F128, 23) (dual of [298, 261, 24]-code) | [i] | ||
| 52 | Linear OA(12878, 396, F128, 58) (dual of [396, 318, 59]-code) | [i] | ||
| 53 | Linear OA(12877, 396, F128, 57) (dual of [396, 319, 58]-code) | [i] | ||
| 54 | Linear OA(12876, 396, F128, 56) (dual of [396, 320, 57]-code) | [i] | ||
| 55 | Linear OA(12875, 396, F128, 55) (dual of [396, 321, 56]-code) | [i] | ||
| 56 | Linear OA(12874, 396, F128, 54) (dual of [396, 322, 55]-code) | [i] | ||
| 57 | Linear OA(12873, 396, F128, 53) (dual of [396, 323, 54]-code) | [i] | ||
| 58 | Linear OA(12872, 396, F128, 52) (dual of [396, 324, 53]-code) | [i] | ||
| 59 | Linear OA(12871, 396, F128, 51) (dual of [396, 325, 52]-code) | [i] | ||
| 60 | Linear OA(12870, 396, F128, 50) (dual of [396, 326, 51]-code) | [i] | ||
| 61 | Linear OA(12869, 396, F128, 49) (dual of [396, 327, 50]-code) | [i] | ||
| 62 | Linear OA(12868, 396, F128, 48) (dual of [396, 328, 49]-code) | [i] | ||
| 63 | Linear OA(12867, 396, F128, 47) (dual of [396, 329, 48]-code) | [i] | ||
| 64 | Linear OA(12866, 396, F128, 46) (dual of [396, 330, 47]-code) | [i] | ||
| 65 | Linear OA(12865, 396, F128, 45) (dual of [396, 331, 46]-code) | [i] | ||
| 66 | Linear OA(12864, 396, F128, 44) (dual of [396, 332, 45]-code) | [i] | ||
| 67 | Linear OA(12863, 396, F128, 43) (dual of [396, 333, 44]-code) | [i] | ||
| 68 | Linear OA(12862, 396, F128, 42) (dual of [396, 334, 43]-code) | [i] | ||
| 69 | Linear OA(12861, 396, F128, 41) (dual of [396, 335, 42]-code) | [i] | ||
| 70 | Linear OA(12860, 396, F128, 40) (dual of [396, 336, 41]-code) | [i] | ||
| 71 | Linear OA(12859, 396, F128, 39) (dual of [396, 337, 40]-code) | [i] | ||
| 72 | Linear OA(12858, 396, F128, 38) (dual of [396, 338, 39]-code) | [i] | ||
| 73 | Linear OA(12857, 396, F128, 37) (dual of [396, 339, 38]-code) | [i] | ||
| 74 | Linear OA(12856, 396, F128, 36) (dual of [396, 340, 37]-code) | [i] | ||
| 75 | Linear OA(12855, 396, F128, 35) (dual of [396, 341, 36]-code) | [i] | ||
| 76 | Linear OA(12854, 396, F128, 34) (dual of [396, 342, 35]-code) | [i] | ||
| 77 | Linear OA(12853, 396, F128, 33) (dual of [396, 343, 34]-code) | [i] | ||
| 78 | Linear OA(12852, 396, F128, 32) (dual of [396, 344, 33]-code) | [i] | ||
| 79 | Linear OA(12851, 396, F128, 31) (dual of [396, 345, 32]-code) | [i] | ||
| 80 | Linear OA(12845, 16399, F128, 17) (dual of [16399, 16354, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 81 | Linear OA(12861, 2097167, F128, 17) (dual of [2097167, 2097106, 18]-code) | [i] | ||
| 82 | Linear OA(12843, 16398, F128, 16) (dual of [16398, 16355, 17]-code) | [i] | ||
| 83 | Linear OA(12858, 2097166, F128, 16) (dual of [2097166, 2097108, 17]-code) | [i] | ||
| 84 | Linear OA(12878, 2097176, F128, 25) (dual of [2097176, 2097098, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 85 | Linear OA(12872, 2097176, F128, 23) (dual of [2097176, 2097104, 24]-code) | [i] | ||
| 86 | Linear OA(12866, 2097176, F128, 21) (dual of [2097176, 2097110, 22]-code) | [i] | ||
| 87 | Linear OA(12860, 2097176, F128, 19) (dual of [2097176, 2097116, 20]-code) | [i] | ||
| 88 | Linear OA(12854, 2097176, F128, 17) (dual of [2097176, 2097122, 18]-code) | [i] | ||
| 89 | Linear OA(12848, 2097176, F128, 15) (dual of [2097176, 2097128, 16]-code) | [i] | ||
| 90 | Linear OA(12842, 2097176, F128, 13) (dual of [2097176, 2097134, 14]-code) | [i] | ||
| 91 | Linear OA(12878, 16402, F128, 37) (dual of [16402, 16324, 38]-code) | [i] | ||
| 92 | Linear OA(12874, 16402, F128, 35) (dual of [16402, 16328, 36]-code) | [i] | ||
| 93 | Linear OA(12870, 16402, F128, 33) (dual of [16402, 16332, 34]-code) | [i] | ||
| 94 | Linear OA(12866, 16402, F128, 31) (dual of [16402, 16336, 32]-code) | [i] | ||
| 95 | Linear OA(12862, 16402, F128, 29) (dual of [16402, 16340, 30]-code) | [i] | ||
| 96 | Linear OA(12858, 16402, F128, 27) (dual of [16402, 16344, 28]-code) | [i] | ||
| 97 | Linear OA(12854, 16402, F128, 25) (dual of [16402, 16348, 26]-code) | [i] | ||
| 98 | Linear OA(12850, 16402, F128, 23) (dual of [16402, 16352, 24]-code) | [i] | ||
| 99 | Linear OA(12846, 16402, F128, 21) (dual of [16402, 16356, 22]-code) | [i] | ||
| 100 | Linear OA(12842, 16402, F128, 19) (dual of [16402, 16360, 20]-code) | [i] | ||
| 101 | Linear OA(12838, 16402, F128, 17) (dual of [16402, 16364, 18]-code) | [i] | ||
| 102 | Linear OA(12834, 16402, F128, 15) (dual of [16402, 16368, 16]-code) | [i] | ||
| 103 | Linear OA(12830, 16402, F128, 13) (dual of [16402, 16372, 14]-code) | [i] | ||
| 104 | Linear OA(12875, 2097175, F128, 24) (dual of [2097175, 2097100, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 105 | Linear OA(12869, 2097175, F128, 22) (dual of [2097175, 2097106, 23]-code) | [i] | ||
| 106 | Linear OA(12863, 2097175, F128, 20) (dual of [2097175, 2097112, 21]-code) | [i] | ||
| 107 | Linear OA(12857, 2097175, F128, 18) (dual of [2097175, 2097118, 19]-code) | [i] | ||
| 108 | Linear OA(12851, 2097175, F128, 16) (dual of [2097175, 2097124, 17]-code) | [i] | ||
| 109 | Linear OA(12845, 2097175, F128, 14) (dual of [2097175, 2097130, 15]-code) | [i] | ||
| 110 | Linear OA(12839, 2097175, F128, 12) (dual of [2097175, 2097136, 13]-code) | [i] | ||
| 111 | Linear OA(12876, 16401, F128, 36) (dual of [16401, 16325, 37]-code) | [i] | ||
| 112 | Linear OA(12872, 16401, F128, 34) (dual of [16401, 16329, 35]-code) | [i] | ||
| 113 | Linear OA(12868, 16401, F128, 32) (dual of [16401, 16333, 33]-code) | [i] | ||
| 114 | Linear OA(12864, 16401, F128, 30) (dual of [16401, 16337, 31]-code) | [i] | ||
| 115 | Linear OA(12860, 16401, F128, 28) (dual of [16401, 16341, 29]-code) | [i] | ||
| 116 | Linear OA(12856, 16401, F128, 26) (dual of [16401, 16345, 27]-code) | [i] | ||
| 117 | Linear OA(12852, 16401, F128, 24) (dual of [16401, 16349, 25]-code) | [i] | ||
| 118 | Linear OA(12848, 16401, F128, 22) (dual of [16401, 16353, 23]-code) | [i] | ||
| 119 | Linear OA(12844, 16401, F128, 20) (dual of [16401, 16357, 21]-code) | [i] | ||
| 120 | Linear OA(12840, 16401, F128, 18) (dual of [16401, 16361, 19]-code) | [i] | ||
| 121 | Linear OA(12836, 16401, F128, 16) (dual of [16401, 16365, 17]-code) | [i] | ||
| 122 | Linear OA(12832, 16401, F128, 14) (dual of [16401, 16369, 15]-code) | [i] | ||
| 123 | Linear OA(12828, 16401, F128, 12) (dual of [16401, 16373, 13]-code) | [i] | ||