Information on Result #607104
Linear OA(12810, 129, F128, 10) (dual of [129, 119, 11]-code or 129-arc in PG(9,128)), using extended Reed–Solomon code RSe(119,128)
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(1618, 129, S16, 10) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3214, 129, S32, 10) | [i] | ||
| 3 | OA(6412, 129, S64, 10) | [i] | ||
| 4 | Linear OA(12834, 321, F128, 21) (dual of [321, 287, 22]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12851, 16514, F128, 21) (dual of [16514, 16463, 22]-code) | [i] | ||
| 6 | Linear OA(12871, 2097282, F128, 21) (dual of [2097282, 2097211, 22]-code) | [i] | ||
| 7 | Linear OA(12849, 16513, F128, 20) (dual of [16513, 16464, 21]-code) | [i] | ||
| 8 | Linear OA(12868, 2097281, F128, 20) (dual of [2097281, 2097213, 21]-code) | [i] | ||
| 9 | Linear OA(12815, 258, F128, 10) (dual of [258, 243, 11]-code) | [i] | ||
| 10 | Linear OA(12851, 16515, F128, 21) (dual of [16515, 16464, 22]-code) | [i] | ||
| 11 | Linear OA(12871, 2097284, F128, 21) (dual of [2097284, 2097213, 22]-code) | [i] | ||
| 12 | Linear OA(12849, 16515, F128, 20) (dual of [16515, 16466, 21]-code) | [i] | ||
| 13 | Linear OA(12868, 2097284, F128, 20) (dual of [2097284, 2097216, 21]-code) | [i] | ||
| 14 | OA(12834, 386, S128, 21) | [i] | ||
| 15 | OA(12857, 65667, S128, 21) | [i] | ||
| 16 | OA(12833, 386, S128, 20) | [i] | ||
| 17 | OA(12855, 65667, S128, 20) | [i] | ||
| 18 | Linear OA(12827, 16512, F128, 10) (dual of [16512, 16485, 11]-code) | [i] | Generalized (u, u+v)-Construction | |
| 19 | Linear OA(12859, 408, F128, 32) (dual of [408, 349, 33]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 20 | Linear OA(12857, 408, F128, 31) (dual of [408, 351, 32]-code) | [i] | ||
| 21 | Linear OA(12858, 429, F128, 31) (dual of [429, 371, 32]-code) | [i] | ||
| 22 | Linear OA(12856, 408, F128, 30) (dual of [408, 352, 31]-code) | [i] | ||
| 23 | Linear OA(12857, 429, F128, 30) (dual of [429, 372, 31]-code) | [i] | ||
| 24 | Linear OA(12838, 387, F128, 21) (dual of [387, 349, 22]-code) | [i] | ||
| 25 | Linear OA(12839, 408, F128, 21) (dual of [408, 369, 22]-code) | [i] | ||
| 26 | Linear OA(12858, 16643, F128, 21) (dual of [16643, 16585, 22]-code) | [i] | ||
| 27 | Linear OA(12878, 2097411, F128, 21) (dual of [2097411, 2097333, 22]-code) | [i] | ||
| 28 | Linear OA(12836, 387, F128, 20) (dual of [387, 351, 21]-code) | [i] | ||
| 29 | Linear OA(12837, 408, F128, 20) (dual of [408, 371, 21]-code) | [i] | ||
| 30 | Linear OA(12855, 16642, F128, 20) (dual of [16642, 16587, 21]-code) | [i] | ||
| 31 | Linear OA(12874, 2097410, F128, 20) (dual of [2097410, 2097336, 21]-code) | [i] | ||
| 32 | Linear OA(12818, 387, F128, 10) (dual of [387, 369, 11]-code) | [i] | ||