Information on Result #699166
Linear OA(8143, 531441, F81, 15) (dual of [531441, 531398, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(8146, 531444, F81, 16) (dual of [531444, 531398, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8143, 531444, F81, 15) (dual of [531444, 531401, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(8154, 531452, F81, 18) (dual of [531452, 531398, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(8145, 531452, F81, 15) (dual of [531452, 531407, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(8162, 531460, F81, 20) (dual of [531460, 531398, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(8147, 531460, F81, 15) (dual of [531460, 531413, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(8170, 531468, F81, 22) (dual of [531468, 531398, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(8149, 531468, F81, 15) (dual of [531468, 531419, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(8178, 531476, F81, 24) (dual of [531476, 531398, 25]-code) | [i] | ✔ | |
| 10 | Linear OOA(8143, 75920, F81, 15, 15) (dual of [(75920, 15), 1138757, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |