Information on Result #615484
Linear OA(931, 531441, F9, 6) (dual of [531441, 531410, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(937, 531447, F9, 7) (dual of [531447, 531410, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(931, 531447, F9, 6) (dual of [531447, 531416, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(953, 531463, F9, 10) (dual of [531463, 531410, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(961, 531471, F9, 11) (dual of [531471, 531410, 12]-code) | [i] | ✔ | |
| 5 | Linear OA(960, 531465, F9, 11) (dual of [531465, 531405, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(954, 531465, F9, 10) (dual of [531465, 531411, 11]-code) | [i] | ✔ | |