Information on Result #607112
Linear OA(12818, 129, F128, 18) (dual of [129, 111, 19]-code or 129-arc in PG(17,128)), using extended Reed–Solomon code RSe(111,128)
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(3226, 129, S32, 18) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6421, 129, S64, 18) | [i] | ||
| 3 | Linear OA(12858, 321, F128, 37) (dual of [321, 263, 38]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(12860, 345, F128, 37) (dual of [345, 285, 38]-code) | [i] | ||
| 5 | Linear OA(12864, 417, F128, 37) (dual of [417, 353, 38]-code) | [i] | ||
| 6 | Linear OA(12857, 321, F128, 36) (dual of [321, 264, 37]-code) | [i] | ||
| 7 | Linear OA(12859, 345, F128, 36) (dual of [345, 286, 37]-code) | [i] | ||
| 8 | Linear OA(12863, 417, F128, 36) (dual of [417, 354, 37]-code) | [i] | ||
| 9 | OA(12861, 386, S128, 37) | [i] | ||
| 10 | OA(12860, 386, S128, 36) | [i] | ||
| 11 | Linear OA(12868, 408, F128, 37) (dual of [408, 340, 38]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(12867, 408, F128, 36) (dual of [408, 341, 37]-code) | [i] | ||
| 13 | Linear OA(12833, 387, F128, 18) (dual of [387, 354, 19]-code) | [i] | ||