Information on Result #619211
Linear OA(8110, 531441, F81, 4) (dual of [531441, 531431, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(920, 1062882, F9, 4) (dual of [1062882, 1062862, 5]-code) | [i] | Trace Code | |
| 2 | Linear OA(8112, 531523, F81, 4) (dual of [531523, 531511, 5]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8113, 531444, F81, 5) (dual of [531444, 531431, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(8110, 531444, F81, 4) (dual of [531444, 531434, 5]-code) | [i] | ✔ | |
| 5 | Linear OA(8117, 531448, F81, 6) (dual of [531448, 531431, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(8111, 531448, F81, 4) (dual of [531448, 531437, 5]-code) | [i] | ✔ | |
| 7 | Linear OA(8121, 531452, F81, 7) (dual of [531452, 531431, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(8125, 531456, F81, 8) (dual of [531456, 531431, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(8117, 531449, F81, 6) (dual of [531449, 531432, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(8111, 531449, F81, 4) (dual of [531449, 531438, 5]-code) | [i] | ✔ | |