Information on Result #619523
Linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(12836, 32769, F128, 13) (dual of [32769, 32733, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12848, 2113537, F128, 13) (dual of [2113537, 2113489, 14]-code) | [i] | ||
| 3 | Linear OA(12814, 16514, F128, 6) (dual of [16514, 16500, 7]-code) | [i] | ||
| 4 | Linear OA(12815, 32768, F128, 6) (dual of [32768, 32753, 7]-code) | [i] | ||
| 5 | Linear OA(12813, 16386, F128, 7) (dual of [16386, 16373, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(12811, 16386, F128, 6) (dual of [16386, 16375, 7]-code) | [i] | ✔ | |
| 7 | Linear OA(12816, 16389, F128, 8) (dual of [16389, 16373, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(12812, 16389, F128, 6) (dual of [16389, 16377, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(12819, 16392, F128, 9) (dual of [16392, 16373, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(12813, 16392, F128, 6) (dual of [16392, 16379, 7]-code) | [i] | ✔ | |
| 11 | Linear OA(12822, 16395, F128, 10) (dual of [16395, 16373, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(12825, 16398, F128, 11) (dual of [16398, 16373, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(12828, 16401, F128, 12) (dual of [16401, 16373, 13]-code) | [i] | ✔ | |