Information on Result #615718
Linear OA(9115, 531441, F9, 22) (dual of [531441, 531326, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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(9126, 531453, F9, 22) (dual of [531453, 531327, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9127, 531457, F9, 22) (dual of [531457, 531330, 23]-code) | [i] | ||
| 3 | Linear OOA(9115, 285352, F9, 2, 22) (dual of [(285352, 2), 570589, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(9115, 285352, F9, 3, 22) (dual of [(285352, 3), 855941, 23]-NRT-code) | [i] | ||
| 5 | Digital (93, 115, 285352)-net over F9 | [i] | ||
| 6 | Linear OA(9121, 531447, F9, 23) (dual of [531447, 531326, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(9115, 531447, F9, 22) (dual of [531447, 531332, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(9128, 531454, F9, 24) (dual of [531454, 531326, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(9116, 531454, F9, 22) (dual of [531454, 531338, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(9136, 531462, F9, 25) (dual of [531462, 531326, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(9118, 531462, F9, 22) (dual of [531462, 531344, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(9143, 531469, F9, 26) (dual of [531469, 531326, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(9121, 531471, F9, 22) (dual of [531471, 531350, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(9122, 531478, F9, 22) (dual of [531478, 531356, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(9125, 531482, F9, 22) (dual of [531482, 531357, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(9126, 531488, F9, 22) (dual of [531488, 531362, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(9125, 531483, F9, 22) (dual of [531483, 531358, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(9127, 531495, F9, 22) (dual of [531495, 531368, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(9125, 531486, F9, 22) (dual of [531486, 531361, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(9125, 531487, F9, 22) (dual of [531487, 531362, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(9144, 531471, F9, 26) (dual of [531471, 531327, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(9129, 531456, F9, 24) (dual of [531456, 531327, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(9117, 531456, F9, 22) (dual of [531456, 531339, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(9120, 531465, F9, 22) (dual of [531465, 531345, 23]-code) | [i] | ✔ | |