Information on Result #699160
Linear OA(8155, 531441, F81, 19) (dual of [531441, 531386, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(8158, 531444, F81, 20) (dual of [531444, 531386, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8155, 531444, F81, 19) (dual of [531444, 531389, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(8166, 531452, F81, 22) (dual of [531452, 531386, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(8157, 531452, F81, 19) (dual of [531452, 531395, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(8174, 531460, F81, 24) (dual of [531460, 531386, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(8159, 531460, F81, 19) (dual of [531460, 531401, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(8182, 531468, F81, 26) (dual of [531468, 531386, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(8161, 531468, F81, 19) (dual of [531468, 531407, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(8163, 531476, F81, 19) (dual of [531476, 531413, 20]-code) | [i] | ✔ | |