Information on Result #615746
Linear OA(9127, 531441, F9, 24) (dual of [531441, 531314, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(9139, 531454, F9, 24) (dual of [531454, 531315, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(9127, 330334, F9, 2, 24) (dual of [(330334, 2), 660541, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9127, 330334, F9, 3, 24) (dual of [(330334, 3), 990875, 25]-NRT-code) | [i] | ||
| 4 | Digital (103, 127, 330334)-net over F9 | [i] | ||
| 5 | Linear OA(9133, 531447, F9, 25) (dual of [531447, 531314, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(9127, 531447, F9, 24) (dual of [531447, 531320, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(9140, 531454, F9, 26) (dual of [531454, 531314, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(9128, 531454, F9, 24) (dual of [531454, 531326, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(9149, 531463, F9, 28) (dual of [531463, 531314, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(9130, 531462, F9, 24) (dual of [531462, 531332, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(9131, 531469, F9, 24) (dual of [531469, 531338, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(9133, 531477, F9, 24) (dual of [531477, 531344, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(9137, 531482, F9, 24) (dual of [531482, 531345, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(9138, 531488, F9, 24) (dual of [531488, 531350, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(9137, 531483, F9, 24) (dual of [531483, 531346, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(9139, 531495, F9, 24) (dual of [531495, 531356, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(9137, 531486, F9, 24) (dual of [531486, 531349, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(9150, 531465, F9, 28) (dual of [531465, 531315, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(9141, 531456, F9, 26) (dual of [531456, 531315, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(9129, 531456, F9, 24) (dual of [531456, 531327, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(9132, 531471, F9, 24) (dual of [531471, 531339, 25]-code) | [i] | ✔ | |