Information on Result #615777
Linear OA(9139, 531441, F9, 26) (dual of [531441, 531302, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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 OOA(9139, 375968, F9, 2, 26) (dual of [(375968, 2), 751797, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9139, 375968, F9, 3, 26) (dual of [(375968, 3), 1127765, 27]-NRT-code) | [i] | ||
| 3 | Digital (113, 139, 375968)-net over F9 | [i] | ||
| 4 | Linear OA(9146, 531448, F9, 28) (dual of [531448, 531302, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9139, 531447, F9, 26) (dual of [531447, 531308, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(9140, 531454, F9, 26) (dual of [531454, 531314, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(9142, 531462, F9, 26) (dual of [531462, 531320, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(9143, 531469, F9, 26) (dual of [531469, 531326, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(9145, 531477, F9, 26) (dual of [531477, 531332, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(9146, 531484, F9, 26) (dual of [531484, 531338, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(9150, 531494, F9, 26) (dual of [531494, 531344, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(9141, 531456, F9, 26) (dual of [531456, 531315, 27]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(9144, 531471, F9, 26) (dual of [531471, 531327, 27]-code) | [i] | ✔ | |
| 14 | Linear OOA(9139, 40880, F9, 26, 26) (dual of [(40880, 26), 1062741, 27]-NRT-code) | [i] | OA Folding and Stacking | |