Information on Result #614339
Linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(787, 5764809, F7, 12) (dual of [5764809, 5764722, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(788, 5764811, F7, 12) (dual of [5764811, 5764723, 13]-code) | [i] | ||
| 3 | Linear OA(789, 5764819, F7, 12) (dual of [5764819, 5764730, 13]-code) | [i] | ||
| 4 | Linear OOA(781, 4351198, F7, 2, 12) (dual of [(4351198, 2), 8702315, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(781, 4351198, F7, 3, 12) (dual of [(4351198, 3), 13053513, 13]-NRT-code) | [i] | ||
| 6 | Digital (69, 81, 4351198)-net over F7 | [i] | ||
| 7 | Linear OA(789, 5764809, F7, 13) (dual of [5764809, 5764720, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(781, 5764809, F7, 12) (dual of [5764809, 5764728, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(798, 5764818, F7, 14) (dual of [5764818, 5764720, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(7100, 5764820, F7, 15) (dual of [5764820, 5764720, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(782, 5764818, F7, 12) (dual of [5764818, 5764736, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(7109, 5764829, F7, 16) (dual of [5764829, 5764720, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(784, 5764828, F7, 12) (dual of [5764828, 5764744, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(785, 5764837, F7, 12) (dual of [5764837, 5764752, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(788, 5764844, F7, 12) (dual of [5764844, 5764756, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(789, 5764849, F7, 12) (dual of [5764849, 5764760, 13]-code) | [i] | ✔ | |
| 17 | Linear OA(7110, 5764831, F7, 16) (dual of [5764831, 5764721, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(799, 5764812, F7, 15) (dual of [5764812, 5764713, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(798, 5764819, F7, 14) (dual of [5764819, 5764721, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(782, 5764819, F7, 12) (dual of [5764819, 5764737, 13]-code) | [i] | ✔ | |