Information on Result #619572
Linear OA(12813, 129, F128, 13) (dual of [129, 116, 14]-code or 129-arc in PG(12,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(1623, 129, S16, 13) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3219, 129, S32, 13) | [i] | ||
| 3 | OA(6416, 129, S64, 13) | [i] | ||
| 4 | Linear OA(12843, 321, F128, 27) (dual of [321, 278, 28]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12849, 417, F128, 27) (dual of [417, 368, 28]-code) | [i] | ||
| 6 | Linear OA(12866, 16514, F128, 27) (dual of [16514, 16448, 28]-code) | [i] | ||
| 7 | Linear OA(12842, 321, F128, 26) (dual of [321, 279, 27]-code) | [i] | ||
| 8 | Linear OA(12848, 417, F128, 26) (dual of [417, 369, 27]-code) | [i] | ||
| 9 | Linear OA(12864, 16513, F128, 26) (dual of [16513, 16449, 27]-code) | [i] | ||
| 10 | Linear OA(12819, 258, F128, 13) (dual of [258, 239, 14]-code) | [i] | ||
| 11 | Linear OA(12866, 16515, F128, 27) (dual of [16515, 16449, 28]-code) | [i] | ||
| 12 | Linear OA(12864, 16515, F128, 26) (dual of [16515, 16451, 27]-code) | [i] | ||
| 13 | OA(12844, 386, S128, 27) | [i] | ||
| 14 | OA(12874, 65667, S128, 27) | [i] | ||
| 15 | OA(12843, 386, S128, 26) | [i] | ||
| 16 | OA(12872, 65667, S128, 26) | [i] | ||
| 17 | Linear OA(12875, 408, F128, 41) (dual of [408, 333, 42]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(12876, 429, F128, 41) (dual of [429, 353, 42]-code) | [i] | ||
| 19 | Linear OA(12878, 471, F128, 41) (dual of [471, 393, 42]-code) | [i] | ||
| 20 | Linear OA(12874, 408, F128, 40) (dual of [408, 334, 41]-code) | [i] | ||
| 21 | Linear OA(12875, 429, F128, 40) (dual of [429, 354, 41]-code) | [i] | ||
| 22 | Linear OA(12872, 408, F128, 39) (dual of [408, 336, 40]-code) | [i] | ||
| 23 | Linear OA(12873, 429, F128, 39) (dual of [429, 356, 40]-code) | [i] | ||
| 24 | Linear OA(12849, 387, F128, 27) (dual of [387, 338, 28]-code) | [i] | ||
| 25 | Linear OA(12850, 408, F128, 27) (dual of [408, 358, 28]-code) | [i] | ||
| 26 | Linear OA(12875, 16643, F128, 27) (dual of [16643, 16568, 28]-code) | [i] | ||
| 27 | Linear OA(12847, 387, F128, 26) (dual of [387, 340, 27]-code) | [i] | ||
| 28 | Linear OA(12848, 408, F128, 26) (dual of [408, 360, 27]-code) | [i] | ||
| 29 | Linear OA(12872, 16642, F128, 26) (dual of [16642, 16570, 27]-code) | [i] | ||
| 30 | Linear OA(12823, 387, F128, 13) (dual of [387, 364, 14]-code) | [i] | ||
| 31 | Linear OA(12823, 462, F128, 13) (dual of [462, 439, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 32 | Linear OA(12818, 135, F128, 13) (dual of [135, 117, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |