Information on Result #684446
Linear OA(797, 5764801, F7, 15) (dual of [5764801, 5764704, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
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(7105, 5764809, F7, 16) (dual of [5764809, 5764704, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(798, 5764810, F7, 15) (dual of [5764810, 5764712, 16]-code) | [i] | ✔ | |
| 3 | Linear OA(798, 5764818, F7, 14) (dual of [5764818, 5764720, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(7100, 5764820, F7, 15) (dual of [5764820, 5764720, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(7101, 5764829, F7, 15) (dual of [5764829, 5764728, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(7103, 5764839, F7, 15) (dual of [5764839, 5764736, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(7101, 5764837, F7, 14) (dual of [5764837, 5764736, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(7104, 5764844, F7, 15) (dual of [5764844, 5764740, 16]-code) | [i] | ✔ | |
| 9 | Linear OA(7106, 5764850, F7, 15) (dual of [5764850, 5764744, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(7104, 5764848, F7, 14) (dual of [5764848, 5764744, 15]-code) | [i] | ✔ | |
| 11 | Linear OA(7108, 5764853, F7, 15) (dual of [5764853, 5764745, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(7105, 5764849, F7, 15) (dual of [5764849, 5764744, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(7103, 5764845, F7, 14) (dual of [5764845, 5764742, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(7107, 5764812, F7, 16) (dual of [5764812, 5764705, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(799, 5764812, F7, 15) (dual of [5764812, 5764713, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(7102, 5764831, F7, 15) (dual of [5764831, 5764729, 16]-code) | [i] | ✔ | |
| 17 | Linear OA(798, 5764819, F7, 14) (dual of [5764819, 5764721, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 18 | Linear OOA(797, 1921600, F7, 3, 15) (dual of [(1921600, 3), 5764703, 16]-NRT-code) | [i] | OOA Folding | |