Information on Result #699154
Linear OA(8167, 531441, F81, 23) (dual of [531441, 531374, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(8170, 531444, F81, 24) (dual of [531444, 531374, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8167, 531444, F81, 23) (dual of [531444, 531377, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(8178, 531452, F81, 26) (dual of [531452, 531374, 27]-code) | [i] | ✔ | |
| 4 | Linear OA(8169, 531452, F81, 23) (dual of [531452, 531383, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(8171, 531460, F81, 23) (dual of [531460, 531389, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(8173, 531468, F81, 23) (dual of [531468, 531395, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(8175, 531476, F81, 23) (dual of [531476, 531401, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(8177, 531484, F81, 23) (dual of [531484, 531407, 24]-code) | [i] | ✔ | |