Information on Result #699172
Linear OA(8131, 531441, F81, 11) (dual of [531441, 531410, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(8134, 531444, F81, 12) (dual of [531444, 531410, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8131, 531444, F81, 11) (dual of [531444, 531413, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(8142, 531452, F81, 14) (dual of [531452, 531410, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(8133, 531452, F81, 11) (dual of [531452, 531419, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(8150, 531460, F81, 16) (dual of [531460, 531410, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(8135, 531460, F81, 11) (dual of [531460, 531425, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(8158, 531468, F81, 18) (dual of [531468, 531410, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(8166, 531476, F81, 20) (dual of [531476, 531410, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(8174, 531484, F81, 22) (dual of [531484, 531410, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(8132, 531452, F81, 10) (dual of [531452, 531420, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 11 | Linear OOA(8131, 106288, F81, 11, 11) (dual of [(106288, 11), 1169137, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |