Information on Result #684765
Linear OA(711, 16807, F7, 3) (dual of [16807, 16796, 4]-code or 16807-cap in PG(10,7)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3
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(716, 16812, F7, 4) (dual of [16812, 16796, 5]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(729, 16825, F7, 6) (dual of [16825, 16796, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(736, 16828, F7, 8) (dual of [16828, 16792, 9]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(717, 16814, F7, 4) (dual of [16814, 16797, 5]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |