Information on Result #684762
Linear OA(721, 16807, F7, 5) (dual of [16807, 16786, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, 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(726, 16812, F7, 6) (dual of [16812, 16786, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(721, 16812, F7, 5) (dual of [16812, 16791, 6]-code) | [i] | ✔ | |
| 3 | Linear OA(733, 16815, F7, 8) (dual of [16815, 16782, 9]-code) | [i] | ✔ | |
| 4 | Linear OA(734, 16820, F7, 8) (dual of [16820, 16786, 9]-code) | [i] | ✔ | |
| 5 | Linear OA(740, 16826, F7, 9) (dual of [16826, 16786, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(747, 16833, F7, 10) (dual of [16833, 16786, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(746, 16828, F7, 10) (dual of [16828, 16782, 11]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(741, 16828, F7, 9) (dual of [16828, 16787, 10]-code) | [i] | ✔ | |