Information on Result #689141
Linear OA(9109, 531441, F9, 21) (dual of [531441, 531332, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(9115, 531447, F9, 22) (dual of [531447, 531332, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(9109, 531447, F9, 21) (dual of [531447, 531338, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(9130, 531462, F9, 24) (dual of [531462, 531332, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(9113, 531463, F9, 21) (dual of [531463, 531350, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(9115, 531471, F9, 21) (dual of [531471, 531356, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(9145, 531477, F9, 26) (dual of [531477, 531332, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(9116, 531478, F9, 21) (dual of [531478, 531362, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(9119, 531482, F9, 21) (dual of [531482, 531363, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(9120, 531488, F9, 21) (dual of [531488, 531368, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(9119, 531483, F9, 21) (dual of [531483, 531364, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(9121, 531495, F9, 21) (dual of [531495, 531374, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(9119, 531486, F9, 21) (dual of [531486, 531367, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(9119, 531487, F9, 21) (dual of [531487, 531368, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(9144, 531471, F9, 26) (dual of [531471, 531327, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(9129, 531456, F9, 24) (dual of [531456, 531327, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(9114, 531465, F9, 21) (dual of [531465, 531351, 22]-code) | [i] | ✔ | |
| 17 | Linear OOA(9109, 53144, F9, 21, 21) (dual of [(53144, 21), 1115915, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |