Information on Result #684456
Linear OA(733, 5764801, F7, 5) (dual of [5764801, 5764768, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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(741, 5764809, F7, 6) (dual of [5764809, 5764768, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(733, 5764809, F7, 5) (dual of [5764809, 5764776, 6]-code) | [i] | ✔ | |
| 3 | Linear OA(752, 5764820, F7, 8) (dual of [5764820, 5764768, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(761, 5764829, F7, 9) (dual of [5764829, 5764768, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(771, 5764839, F7, 10) (dual of [5764839, 5764768, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(770, 5764831, F7, 10) (dual of [5764831, 5764761, 11]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(762, 5764831, F7, 9) (dual of [5764831, 5764769, 10]-code) | [i] | ✔ | |