Information on Result #614262
Linear OA(726, 16807, F7, 6) (dual of [16807, 16781, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, 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(729, 16815, F7, 6) (dual of [16815, 16786, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(730, 16857, F7, 6) (dual of [16857, 16827, 7]-code) | [i] | ||
| 3 | Linear OA(732, 16813, F7, 8) (dual of [16813, 16781, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(726, 16812, F7, 6) (dual of [16812, 16786, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(738, 16815, F7, 9) (dual of [16815, 16777, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(739, 16820, F7, 9) (dual of [16820, 16781, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(727, 16818, F7, 6) (dual of [16818, 16791, 7]-code) | [i] | ✔ | |
| 8 | Linear OA(745, 16826, F7, 10) (dual of [16826, 16781, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(729, 16825, F7, 6) (dual of [16825, 16796, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(752, 16833, F7, 11) (dual of [16833, 16781, 12]-code) | [i] | ✔ | |
| 11 | Linear OA(758, 16839, F7, 12) (dual of [16839, 16781, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(757, 16834, F7, 12) (dual of [16834, 16777, 13]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(751, 16828, F7, 11) (dual of [16828, 16777, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(746, 16828, F7, 10) (dual of [16828, 16782, 11]-code) | [i] | ✔ | |
| 15 | Linear OA(727, 16819, F7, 6) (dual of [16819, 16792, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |