Information on Result #619617
Linear OA(12819, 129, F128, 19) (dual of [129, 110, 20]-code or 129-arc in PG(18,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)
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(3227, 129, S32, 19) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6423, 129, S64, 19) | [i] | ||
| 3 | Linear OA(12861, 321, F128, 39) (dual of [321, 260, 40]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(12863, 345, F128, 39) (dual of [345, 282, 40]-code) | [i] | ||
| 5 | Linear OA(12867, 417, F128, 39) (dual of [417, 350, 40]-code) | [i] | ||
| 6 | Linear OA(12860, 321, F128, 38) (dual of [321, 261, 39]-code) | [i] | ||
| 7 | Linear OA(12862, 345, F128, 38) (dual of [345, 283, 39]-code) | [i] | ||
| 8 | Linear OA(12866, 417, F128, 38) (dual of [417, 351, 39]-code) | [i] | ||
| 9 | OA(12864, 386, S128, 39) | [i] | ||
| 10 | OA(12863, 386, S128, 38) | [i] | ||
| 11 | Linear OA(12872, 408, F128, 39) (dual of [408, 336, 40]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 12 | Linear OA(12870, 408, F128, 38) (dual of [408, 338, 39]-code) | [i] | ||
| 13 | Linear OA(12834, 387, F128, 19) (dual of [387, 353, 20]-code) | [i] | ||
| 14 | Linear OA(12827, 138, F128, 19) (dual of [138, 111, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |