Information on Result #619512
Linear OA(1287, 16384, F128, 4) (dual of [16384, 16377, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, 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(12824, 32769, F128, 9) (dual of [32769, 32745, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12832, 2113537, F128, 9) (dual of [2113537, 2113505, 10]-code) | [i] | ||
| 3 | Linear OA(1287, 16386, F128, 4) (dual of [16386, 16379, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(12812, 16389, F128, 6) (dual of [16389, 16377, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(12815, 16392, F128, 7) (dual of [16392, 16377, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(12818, 16395, F128, 8) (dual of [16395, 16377, 9]-code) | [i] | ✔ | |