Information on Result #614295
Linear OA(749, 5764801, F7, 8) (dual of [5764801, 5764752, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(753, 5764809, F7, 8) (dual of [5764809, 5764756, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(754, 5764812, F7, 8) (dual of [5764812, 5764758, 9]-code) | [i] | ||
| 3 | Linear OA(754, 5764807, F7, 8) (dual of [5764807, 5764753, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(757, 5764809, F7, 9) (dual of [5764809, 5764752, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(750, 5764810, F7, 8) (dual of [5764810, 5764760, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(766, 5764818, F7, 10) (dual of [5764818, 5764752, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(752, 5764820, F7, 8) (dual of [5764820, 5764768, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(776, 5764828, F7, 11) (dual of [5764828, 5764752, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(753, 5764829, F7, 8) (dual of [5764829, 5764776, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(785, 5764837, F7, 12) (dual of [5764837, 5764752, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(795, 5764843, F7, 13) (dual of [5764843, 5764748, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(796, 5764848, F7, 13) (dual of [5764848, 5764752, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(7108, 5764853, F7, 15) (dual of [5764853, 5764745, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(795, 5764845, F7, 13) (dual of [5764845, 5764750, 14]-code) | [i] | ✔ | |
| 15 | Linear OA(778, 5764831, F7, 11) (dual of [5764831, 5764753, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(759, 5764812, F7, 9) (dual of [5764812, 5764753, 10]-code) | [i] | ✔ | |
| 17 | Linear OA(754, 5764831, F7, 8) (dual of [5764831, 5764777, 9]-code) | [i] | ✔ | |
| 18 | Linear OA(750, 5764811, F7, 8) (dual of [5764811, 5764761, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(766, 5764819, F7, 10) (dual of [5764819, 5764753, 11]-code) | [i] | ✔ | |
| 20 | Linear OOA(749, 2882400, F7, 2, 8) (dual of [(2882400, 2), 5764751, 9]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(749, 1921600, F7, 3, 8) (dual of [(1921600, 3), 5764751, 9]-NRT-code) | [i] | ||
| 22 | Linear OOA(749, 1441200, F7, 8, 8) (dual of [(1441200, 8), 11529551, 9]-NRT-code) | [i] | OA Folding and Stacking | |