Information on Result #619669
Linear OA(12827, 129, F128, 27) (dual of [129, 102, 28]-code or 129-arc in PG(26,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(1648, 129, S16, 27) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3238, 129, S32, 27) | [i] | ||
| 3 | OA(6432, 129, S64, 27) | [i] | ||
| 4 | Linear OA(12849, 387, F128, 27) (dual of [387, 338, 28]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(12839, 142, F128, 27) (dual of [142, 103, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |