Information on Result #619587
Linear OA(12815, 129, F128, 15) (dual of [129, 114, 16]-code or 129-arc in PG(14,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(1627, 129, S16, 15) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3221, 129, S32, 15) | [i] | ||
| 3 | OA(6418, 129, S64, 15) | [i] | ||
| 4 | Linear OA(12849, 321, F128, 31) (dual of [321, 272, 32]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12855, 417, F128, 31) (dual of [417, 362, 32]-code) | [i] | ||
| 6 | Linear OA(12876, 16514, F128, 31) (dual of [16514, 16438, 32]-code) | [i] | ||
| 7 | Linear OA(12848, 321, F128, 30) (dual of [321, 273, 31]-code) | [i] | ||
| 8 | Linear OA(12854, 417, F128, 30) (dual of [417, 363, 31]-code) | [i] | ||
| 9 | Linear OA(12874, 16513, F128, 30) (dual of [16513, 16439, 31]-code) | [i] | ||
| 10 | Linear OA(12822, 258, F128, 15) (dual of [258, 236, 16]-code) | [i] | ||
| 11 | Linear OA(12876, 16515, F128, 31) (dual of [16515, 16439, 32]-code) | [i] | ||
| 12 | Linear OA(12874, 16515, F128, 30) (dual of [16515, 16441, 31]-code) | [i] | ||
| 13 | OA(12851, 386, S128, 31) | [i] | ||
| 14 | OA(12850, 386, S128, 30) | [i] | ||
| 15 | Linear OA(12857, 408, F128, 31) (dual of [408, 351, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(12856, 408, F128, 30) (dual of [408, 352, 31]-code) | [i] | ||
| 17 | Linear OA(12827, 387, F128, 15) (dual of [387, 360, 16]-code) | [i] | ||
| 18 | Linear OA(12821, 136, F128, 15) (dual of [136, 115, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |