Information on Result #615802
Linear OA(9145, 531441, F9, 28) (dual of [531441, 531296, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(9144, 531440, F9, 27) (dual of [531440, 531296, 28]-code) | [i] | Truncation | |
| 2 | Linear OA(9146, 531448, F9, 28) (dual of [531448, 531302, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(9147, 531451, F9, 28) (dual of [531451, 531304, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(9148, 531456, F9, 28) (dual of [531456, 531308, 29]-code) | [i] | ✔ | |
| 5 | Linear OA(9149, 531463, F9, 28) (dual of [531463, 531314, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(9150, 531465, F9, 28) (dual of [531465, 531315, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OOA(9145, 265720, F9, 2, 28) (dual of [(265720, 2), 531295, 29]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(9145, 177147, F9, 3, 28) (dual of [(177147, 3), 531296, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(9145, 37960, F9, 28, 28) (dual of [(37960, 28), 1062735, 29]-NRT-code) | [i] | OA Folding and Stacking | |