Information on Result #607101
Linear OA(1287, 129, F128, 7) (dual of [129, 122, 8]-code or 129-arc in PG(6,128)), using extended Reed–Solomon code RSe(122,128)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(3210, 129, S32, 7) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(649, 129, S64, 7) | [i] | ||
| 3 | Linear OA(12822, 258, F128, 15) (dual of [258, 236, 16]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(12823, 279, F128, 15) (dual of [279, 256, 16]-code) | [i] | ||
| 5 | Linear OA(12836, 16514, F128, 15) (dual of [16514, 16478, 16]-code) | [i] | ||
| 6 | Linear OA(12850, 2097282, F128, 15) (dual of [2097282, 2097232, 16]-code) | [i] | ||
| 7 | Linear OA(12821, 258, F128, 14) (dual of [258, 237, 15]-code) | [i] | ||
| 8 | Linear OA(12822, 279, F128, 14) (dual of [279, 257, 15]-code) | [i] | ||
| 9 | Linear OA(12834, 16513, F128, 14) (dual of [16513, 16479, 15]-code) | [i] | ||
| 10 | Linear OA(12847, 2097281, F128, 14) (dual of [2097281, 2097234, 15]-code) | [i] | ||
| 11 | Linear OA(12810, 258, F128, 7) (dual of [258, 248, 8]-code) | [i] | ||
| 12 | Linear OA(12836, 16515, F128, 15) (dual of [16515, 16479, 16]-code) | [i] | ||
| 13 | Linear OA(12850, 2097284, F128, 15) (dual of [2097284, 2097234, 16]-code) | [i] | ||
| 14 | Linear OA(12834, 16515, F128, 14) (dual of [16515, 16481, 15]-code) | [i] | ||
| 15 | Linear OA(12847, 2097284, F128, 14) (dual of [2097284, 2097237, 15]-code) | [i] | ||
| 16 | Linear OA(12824, 301, F128, 15) (dual of [301, 277, 16]-code) | [i] | ||
| 17 | OA(12825, 386, S128, 15) | [i] | ||
| 18 | OA(12841, 65667, S128, 15) | [i] | ||
| 19 | OA(12823, 386, S128, 14) | [i] | ||
| 20 | OA(12838, 65667, S128, 14) | [i] | ||
| 21 | Linear OA(12816, 16512, F128, 7) (dual of [16512, 16496, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 22 | Linear OA(12841, 387, F128, 23) (dual of [387, 346, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 23 | Linear OA(12842, 408, F128, 23) (dual of [408, 366, 24]-code) | [i] | ||
| 24 | Linear OA(12843, 429, F128, 23) (dual of [429, 386, 24]-code) | [i] | ||
| 25 | Linear OA(12863, 16643, F128, 23) (dual of [16643, 16580, 24]-code) | [i] | ||
| 26 | Linear OA(12864, 16664, F128, 23) (dual of [16664, 16600, 24]-code) | [i] | ||
| 27 | Linear OA(12866, 16706, F128, 23) (dual of [16706, 16640, 24]-code) | [i] | ||
| 28 | Linear OA(12840, 387, F128, 22) (dual of [387, 347, 23]-code) | [i] | ||
| 29 | Linear OA(12841, 408, F128, 22) (dual of [408, 367, 23]-code) | [i] | ||
| 30 | Linear OA(12842, 429, F128, 22) (dual of [429, 387, 23]-code) | [i] | ||
| 31 | Linear OA(12861, 16642, F128, 22) (dual of [16642, 16581, 23]-code) | [i] | ||
| 32 | Linear OA(12862, 16663, F128, 22) (dual of [16663, 16601, 23]-code) | [i] | ||
| 33 | Linear OA(12838, 387, F128, 21) (dual of [387, 349, 22]-code) | [i] | ||
| 34 | Linear OA(12839, 408, F128, 21) (dual of [408, 369, 22]-code) | [i] | ||
| 35 | Linear OA(12840, 429, F128, 21) (dual of [429, 389, 22]-code) | [i] | ||
| 36 | Linear OA(12858, 16643, F128, 21) (dual of [16643, 16585, 22]-code) | [i] | ||
| 37 | Linear OA(12859, 16664, F128, 21) (dual of [16664, 16605, 22]-code) | [i] | ||
| 38 | Linear OA(12878, 2097411, F128, 21) (dual of [2097411, 2097333, 22]-code) | [i] | ||
| 39 | Linear OA(12827, 387, F128, 15) (dual of [387, 360, 16]-code) | [i] | ||
| 40 | Linear OA(12828, 408, F128, 15) (dual of [408, 380, 16]-code) | [i] | ||
| 41 | Linear OA(12841, 16643, F128, 15) (dual of [16643, 16602, 16]-code) | [i] | ||
| 42 | Linear OA(12855, 2097411, F128, 15) (dual of [2097411, 2097356, 16]-code) | [i] | ||
| 43 | Linear OA(12825, 387, F128, 14) (dual of [387, 362, 15]-code) | [i] | ||
| 44 | Linear OA(12826, 408, F128, 14) (dual of [408, 382, 15]-code) | [i] | ||
| 45 | Linear OA(12838, 16642, F128, 14) (dual of [16642, 16604, 15]-code) | [i] | ||
| 46 | Linear OA(12851, 2097410, F128, 14) (dual of [2097410, 2097359, 15]-code) | [i] | ||
| 47 | Linear OA(12812, 387, F128, 7) (dual of [387, 375, 8]-code) | [i] | ||
| 48 | Linear OA(12812, 394, F128, 7) (dual of [394, 382, 8]-code) | [i] | Varšamov–Edel Lengthening | |