Information on Result #607098
Linear OA(1284, 129, F128, 4) (dual of [129, 125, 5]-code or 129-arc in PG(3,128)), using extended Reed–Solomon code RSe(125,128)
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 | OA(645, 129, S64, 4) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(12813, 258, F128, 9) (dual of [258, 245, 10]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(12814, 279, F128, 9) (dual of [279, 265, 10]-code) | [i] | ||
| 4 | Linear OA(12821, 16514, F128, 9) (dual of [16514, 16493, 10]-code) | [i] | ||
| 5 | Linear OA(12829, 2097282, F128, 9) (dual of [2097282, 2097253, 10]-code) | [i] | ||
| 6 | Linear OA(12812, 258, F128, 8) (dual of [258, 246, 9]-code) | [i] | ||
| 7 | Linear OA(12819, 16513, F128, 8) (dual of [16513, 16494, 9]-code) | [i] | ||
| 8 | Linear OA(12826, 2097281, F128, 8) (dual of [2097281, 2097255, 9]-code) | [i] | ||
| 9 | Linear OA(12821, 16515, F128, 9) (dual of [16515, 16494, 10]-code) | [i] | ||
| 10 | Linear OA(12829, 2097284, F128, 9) (dual of [2097284, 2097255, 10]-code) | [i] | ||
| 11 | Linear OA(12819, 16515, F128, 8) (dual of [16515, 16496, 9]-code) | [i] | ||
| 12 | Linear OA(12826, 2097284, F128, 8) (dual of [2097284, 2097258, 9]-code) | [i] | ||
| 13 | Linear OA(12823, 16512, F128, 9) (dual of [16512, 16489, 10]-code) | [i] | Generalized (u, u+v)-Construction | |
| 14 | Linear OA(12824, 16533, F128, 9) (dual of [16533, 16509, 10]-code) | [i] | ||
| 15 | Linear OA(12820, 16512, F128, 8) (dual of [16512, 16492, 9]-code) | [i] | ||
| 16 | Linear OA(12821, 16533, F128, 8) (dual of [16533, 16512, 9]-code) | [i] | ||
| 17 | Linear OA(1288, 16512, F128, 4) (dual of [16512, 16504, 5]-code) | [i] | ||
| 18 | Linear OA(12825, 387, F128, 14) (dual of [387, 362, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 19 | Linear OA(12826, 408, F128, 14) (dual of [408, 382, 15]-code) | [i] | ||
| 20 | Linear OA(12838, 16642, F128, 14) (dual of [16642, 16604, 15]-code) | [i] | ||
| 21 | Linear OA(12839, 16663, F128, 14) (dual of [16663, 16624, 15]-code) | [i] | ||
| 22 | Linear OA(12851, 2097410, F128, 14) (dual of [2097410, 2097359, 15]-code) | [i] | ||
| 23 | Linear OA(12852, 2097431, F128, 14) (dual of [2097431, 2097379, 15]-code) | [i] | ||
| 24 | Linear OA(12823, 387, F128, 13) (dual of [387, 364, 14]-code) | [i] | ||
| 25 | Linear OA(12824, 408, F128, 13) (dual of [408, 384, 14]-code) | [i] | ||
| 26 | Linear OA(12835, 16643, F128, 13) (dual of [16643, 16608, 14]-code) | [i] | ||
| 27 | Linear OA(12836, 16664, F128, 13) (dual of [16664, 16628, 14]-code) | [i] | ||
| 28 | Linear OA(12847, 2097411, F128, 13) (dual of [2097411, 2097364, 14]-code) | [i] | ||
| 29 | Linear OA(12848, 2097432, F128, 13) (dual of [2097432, 2097384, 14]-code) | [i] | ||
| 30 | Linear OA(12822, 387, F128, 12) (dual of [387, 365, 13]-code) | [i] | ||
| 31 | Linear OA(12833, 16642, F128, 12) (dual of [16642, 16609, 13]-code) | [i] | ||
| 32 | Linear OA(12844, 2097410, F128, 12) (dual of [2097410, 2097366, 13]-code) | [i] | ||
| 33 | Linear OA(12816, 387, F128, 9) (dual of [387, 371, 10]-code) | [i] | ||
| 34 | Linear OA(12824, 16643, F128, 9) (dual of [16643, 16619, 10]-code) | [i] | ||
| 35 | Linear OA(12832, 2097411, F128, 9) (dual of [2097411, 2097379, 10]-code) | [i] | ||
| 36 | Linear OA(12814, 387, F128, 8) (dual of [387, 373, 9]-code) | [i] | ||
| 37 | Linear OA(12821, 16642, F128, 8) (dual of [16642, 16621, 9]-code) | [i] | ||
| 38 | Linear OA(12828, 2097410, F128, 8) (dual of [2097410, 2097382, 9]-code) | [i] | ||