Information on Result #689144
Linear OA(997, 531441, F9, 19) (dual of [531441, 531344, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19
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(9103, 531447, F9, 20) (dual of [531447, 531344, 21]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(998, 531448, F9, 19) (dual of [531448, 531350, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(998, 531454, F9, 18) (dual of [531454, 531356, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(999, 531451, F9, 19) (dual of [531451, 531352, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(9100, 531456, F9, 19) (dual of [531456, 531356, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(9118, 531462, F9, 22) (dual of [531462, 531344, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(9101, 531463, F9, 19) (dual of [531463, 531362, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(9103, 531471, F9, 19) (dual of [531471, 531368, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(9101, 531469, F9, 18) (dual of [531469, 531368, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(9133, 531477, F9, 24) (dual of [531477, 531344, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(9104, 531478, F9, 19) (dual of [531478, 531374, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(9107, 531482, F9, 19) (dual of [531482, 531375, 20]-code) | [i] | ✔ | |
| 13 | Linear OA(9108, 531488, F9, 19) (dual of [531488, 531380, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(9150, 531494, F9, 26) (dual of [531494, 531344, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(9107, 531483, F9, 19) (dual of [531483, 531376, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(9109, 531495, F9, 19) (dual of [531495, 531386, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(9107, 531486, F9, 19) (dual of [531486, 531379, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(9107, 531487, F9, 19) (dual of [531487, 531380, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(9132, 531471, F9, 24) (dual of [531471, 531339, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(9117, 531456, F9, 22) (dual of [531456, 531339, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(9120, 531465, F9, 22) (dual of [531465, 531345, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(999, 531456, F9, 18) (dual of [531456, 531357, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(9102, 531465, F9, 19) (dual of [531465, 531363, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(9102, 531471, F9, 18) (dual of [531471, 531369, 19]-code) | [i] | ✔ | |
| 25 | Linear OOA(997, 177147, F9, 3, 19) (dual of [(177147, 3), 531344, 20]-NRT-code) | [i] | OOA Folding | |