Information on Result #619717
Linear OA(12839, 129, F128, 39) (dual of [129, 90, 40]-code or 129-arc in PG(38,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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 | Linear OA(12874, 1521, F128, 39) (dual of [1521, 1447, 40]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(12856, 147, F128, 39) (dual of [147, 91, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |