Information on Result #606653
Linear OA(1288, 128, F128, 8) (dual of [128, 120, 9]-code or 128-arc in PG(7,128)), using Reed–Solomon code RS(120,128)
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(12875, 16414, F128, 26) (dual of [16414, 16339, 27]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OOA(2199, 55, F2, 4, 116) (dual of [(55, 4), 21, 117]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 3 | Linear OA(12878, 304, F128, 61) (dual of [304, 226, 62]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 4 | Linear OA(12877, 304, F128, 60) (dual of [304, 227, 61]-code) | [i] | ||
| 5 | Linear OA(12876, 304, F128, 59) (dual of [304, 228, 60]-code) | [i] | ||
| 6 | Linear OA(12875, 304, F128, 58) (dual of [304, 229, 59]-code) | [i] | ||
| 7 | Linear OA(12874, 304, F128, 57) (dual of [304, 230, 58]-code) | [i] | ||
| 8 | Linear OA(12873, 304, F128, 56) (dual of [304, 231, 57]-code) | [i] | ||
| 9 | Linear OA(12872, 304, F128, 55) (dual of [304, 232, 56]-code) | [i] | ||
| 10 | Linear OA(12871, 304, F128, 54) (dual of [304, 233, 55]-code) | [i] | ||
| 11 | Linear OA(12870, 304, F128, 53) (dual of [304, 234, 54]-code) | [i] | ||
| 12 | Linear OA(12869, 304, F128, 52) (dual of [304, 235, 53]-code) | [i] | ||
| 13 | Linear OA(12868, 304, F128, 51) (dual of [304, 236, 52]-code) | [i] | ||
| 14 | Linear OA(12867, 304, F128, 50) (dual of [304, 237, 51]-code) | [i] | ||
| 15 | Linear OA(12866, 304, F128, 49) (dual of [304, 238, 50]-code) | [i] | ||
| 16 | Linear OA(12865, 304, F128, 48) (dual of [304, 239, 49]-code) | [i] | ||
| 17 | Linear OA(12864, 304, F128, 47) (dual of [304, 240, 48]-code) | [i] | ||
| 18 | Linear OA(12863, 304, F128, 46) (dual of [304, 241, 47]-code) | [i] | ||
| 19 | Linear OA(12862, 304, F128, 45) (dual of [304, 242, 46]-code) | [i] | ||
| 20 | Linear OA(12861, 304, F128, 44) (dual of [304, 243, 45]-code) | [i] | ||
| 21 | Linear OA(12860, 304, F128, 43) (dual of [304, 244, 44]-code) | [i] | ||
| 22 | Linear OA(12859, 304, F128, 42) (dual of [304, 245, 43]-code) | [i] | ||
| 23 | Linear OA(12858, 304, F128, 41) (dual of [304, 246, 42]-code) | [i] | ||
| 24 | Linear OA(12857, 304, F128, 40) (dual of [304, 247, 41]-code) | [i] | ||
| 25 | Linear OA(12856, 304, F128, 39) (dual of [304, 248, 40]-code) | [i] | ||
| 26 | Linear OA(12855, 304, F128, 38) (dual of [304, 249, 39]-code) | [i] | ||
| 27 | Linear OA(12854, 304, F128, 37) (dual of [304, 250, 38]-code) | [i] | ||
| 28 | Linear OA(12853, 304, F128, 36) (dual of [304, 251, 37]-code) | [i] | ||
| 29 | Linear OA(12852, 304, F128, 35) (dual of [304, 252, 36]-code) | [i] | ||
| 30 | Linear OA(12851, 304, F128, 34) (dual of [304, 253, 35]-code) | [i] | ||
| 31 | Linear OA(12850, 304, F128, 33) (dual of [304, 254, 34]-code) | [i] | ||
| 32 | Linear OA(12849, 304, F128, 32) (dual of [304, 255, 33]-code) | [i] | ||
| 33 | Linear OA(12848, 304, F128, 31) (dual of [304, 256, 32]-code) | [i] | ||
| 34 | Linear OA(12847, 304, F128, 30) (dual of [304, 257, 31]-code) | [i] | ||
| 35 | Linear OA(12846, 304, F128, 29) (dual of [304, 258, 30]-code) | [i] | ||
| 36 | Linear OA(12845, 304, F128, 28) (dual of [304, 259, 29]-code) | [i] | ||
| 37 | Linear OA(12844, 304, F128, 27) (dual of [304, 260, 28]-code) | [i] | ||
| 38 | Linear OA(12878, 402, F128, 55) (dual of [402, 324, 56]-code) | [i] | ||
| 39 | Linear OA(12877, 402, F128, 54) (dual of [402, 325, 55]-code) | [i] | ||
| 40 | Linear OA(12876, 402, F128, 53) (dual of [402, 326, 54]-code) | [i] | ||
| 41 | Linear OA(12875, 402, F128, 52) (dual of [402, 327, 53]-code) | [i] | ||
| 42 | Linear OA(12874, 402, F128, 51) (dual of [402, 328, 52]-code) | [i] | ||
| 43 | Linear OA(12873, 402, F128, 50) (dual of [402, 329, 51]-code) | [i] | ||
| 44 | Linear OA(12872, 402, F128, 49) (dual of [402, 330, 50]-code) | [i] | ||
| 45 | Linear OA(12871, 402, F128, 48) (dual of [402, 331, 49]-code) | [i] | ||
| 46 | Linear OA(12870, 402, F128, 47) (dual of [402, 332, 48]-code) | [i] | ||
| 47 | Linear OA(12869, 402, F128, 46) (dual of [402, 333, 47]-code) | [i] | ||
| 48 | Linear OA(12868, 402, F128, 45) (dual of [402, 334, 46]-code) | [i] | ||
| 49 | Linear OA(12867, 402, F128, 44) (dual of [402, 335, 45]-code) | [i] | ||
| 50 | Linear OA(12866, 402, F128, 43) (dual of [402, 336, 44]-code) | [i] | ||
| 51 | Linear OA(12865, 402, F128, 42) (dual of [402, 337, 43]-code) | [i] | ||
| 52 | Linear OA(12864, 402, F128, 41) (dual of [402, 338, 42]-code) | [i] | ||
| 53 | Linear OA(12863, 402, F128, 40) (dual of [402, 339, 41]-code) | [i] | ||
| 54 | Linear OA(12862, 402, F128, 39) (dual of [402, 340, 40]-code) | [i] | ||
| 55 | Linear OA(12861, 402, F128, 38) (dual of [402, 341, 39]-code) | [i] | ||
| 56 | Linear OA(12860, 402, F128, 37) (dual of [402, 342, 38]-code) | [i] | ||
| 57 | Linear OA(12869, 16404, F128, 26) (dual of [16404, 16335, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 58 | Linear OA(12870, 16406, F128, 26) (dual of [16406, 16336, 27]-code) | [i] | ||
| 59 | Linear OA(12871, 16408, F128, 26) (dual of [16408, 16337, 27]-code) | [i] | ||
| 60 | Linear OA(12867, 16405, F128, 25) (dual of [16405, 16338, 26]-code) | [i] | ||
| 61 | Linear OA(12868, 16407, F128, 25) (dual of [16407, 16339, 26]-code) | [i] | ||
| 62 | Linear OA(12865, 16404, F128, 24) (dual of [16404, 16339, 25]-code) | [i] | ||
| 63 | Linear OA(12866, 16406, F128, 24) (dual of [16406, 16340, 25]-code) | [i] | ||
| 64 | Linear OA(12878, 2097187, F128, 24) (dual of [2097187, 2097109, 25]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 65 | Linear OA(12875, 2097187, F128, 23) (dual of [2097187, 2097112, 24]-code) | [i] | ||
| 66 | Linear OA(12872, 2097187, F128, 22) (dual of [2097187, 2097115, 23]-code) | [i] | ||
| 67 | Linear OA(12869, 2097187, F128, 21) (dual of [2097187, 2097118, 22]-code) | [i] | ||
| 68 | Linear OA(12866, 2097187, F128, 20) (dual of [2097187, 2097121, 21]-code) | [i] | ||
| 69 | Linear OA(12863, 2097187, F128, 19) (dual of [2097187, 2097124, 20]-code) | [i] | ||
| 70 | Linear OA(12860, 2097187, F128, 18) (dual of [2097187, 2097127, 19]-code) | [i] | ||
| 71 | Linear OA(12877, 16410, F128, 35) (dual of [16410, 16333, 36]-code) | [i] | ||
| 72 | Linear OA(12875, 16410, F128, 34) (dual of [16410, 16335, 35]-code) | [i] | ||
| 73 | Linear OA(12873, 16410, F128, 33) (dual of [16410, 16337, 34]-code) | [i] | ||
| 74 | Linear OA(12871, 16410, F128, 32) (dual of [16410, 16339, 33]-code) | [i] | ||
| 75 | Linear OA(12869, 16410, F128, 31) (dual of [16410, 16341, 32]-code) | [i] | ||
| 76 | Linear OA(12867, 16410, F128, 30) (dual of [16410, 16343, 31]-code) | [i] | ||
| 77 | Linear OA(12865, 16410, F128, 29) (dual of [16410, 16345, 30]-code) | [i] | ||
| 78 | Linear OA(12863, 16410, F128, 28) (dual of [16410, 16347, 29]-code) | [i] | ||
| 79 | Linear OA(12861, 16410, F128, 27) (dual of [16410, 16349, 28]-code) | [i] | ||
| 80 | Linear OA(12859, 16410, F128, 26) (dual of [16410, 16351, 27]-code) | [i] | ||
| 81 | Linear OA(12857, 16410, F128, 25) (dual of [16410, 16353, 26]-code) | [i] | ||
| 82 | Linear OA(12855, 16410, F128, 24) (dual of [16410, 16355, 25]-code) | [i] | ||
| 83 | Linear OA(12853, 16410, F128, 23) (dual of [16410, 16357, 24]-code) | [i] | ||
| 84 | Linear OA(12851, 16410, F128, 22) (dual of [16410, 16359, 23]-code) | [i] | ||
| 85 | Linear OA(12849, 16410, F128, 21) (dual of [16410, 16361, 22]-code) | [i] | ||
| 86 | Linear OA(12847, 16410, F128, 20) (dual of [16410, 16363, 21]-code) | [i] | ||
| 87 | Linear OA(12845, 16410, F128, 19) (dual of [16410, 16365, 20]-code) | [i] | ||
| 88 | Linear OA(12843, 16410, F128, 18) (dual of [16410, 16367, 19]-code) | [i] | ||