Information on Result #699935
Linear OA(12817, 16384, F128, 9) (dual of [16384, 16367, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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(12819, 16386, F128, 10) (dual of [16386, 16367, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12817, 16386, F128, 9) (dual of [16386, 16369, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(12825, 16392, F128, 12) (dual of [16392, 16367, 13]-code) | [i] | ✔ | |
| 4 | Linear OA(12819, 16392, F128, 9) (dual of [16392, 16373, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(12831, 16398, F128, 14) (dual of [16398, 16367, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(12837, 16404, F128, 16) (dual of [16404, 16367, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(12843, 16410, F128, 18) (dual of [16410, 16367, 19]-code) | [i] | ✔ | |
| 8 | Linear OOA(12817, 4096, F128, 4, 9) (dual of [(4096, 4), 16367, 10]-NRT-code) | [i] | OOA Folding | |