Information on Result #618492
Linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, 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(4933, 5764851, F49, 8) (dual of [5764851, 5764818, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4934, 5764854, F49, 8) (dual of [5764854, 5764820, 9]-code) | [i] | ||
| 3 | Linear OA(4935, 5767153, F49, 8) (dual of [5767153, 5767118, 9]-code) | [i] | ||
| 4 | Linear OOA(4929, 4814624, F49, 2, 8) (dual of [(4814624, 2), 9629219, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(4929, 4814624, F49, 3, 8) (dual of [(4814624, 3), 14443843, 9]-NRT-code) | [i] | ||
| 6 | Digital (21, 29, 4814624)-net over F49 | [i] | ||
| 7 | Linear OA(4934, 5764807, F49, 8) (dual of [5764807, 5764773, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(4935, 5764901, F49, 8) (dual of [5764901, 5764866, 9]-code) | [i] | ||
| 9 | Linear OA(4933, 5764805, F49, 9) (dual of [5764805, 5764772, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(4929, 5764805, F49, 8) (dual of [5764805, 5764776, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(4938, 5764810, F49, 10) (dual of [5764810, 5764772, 11]-code) | [i] | ✔ | |
| 12 | Linear OA(4930, 5764810, F49, 8) (dual of [5764810, 5764780, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(4943, 5764815, F49, 11) (dual of [5764815, 5764772, 12]-code) | [i] | ✔ | |
| 14 | Linear OA(4931, 5764815, F49, 8) (dual of [5764815, 5764784, 9]-code) | [i] | ✔ | |
| 15 | Linear OA(4948, 5764820, F49, 12) (dual of [5764820, 5764772, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(4932, 5764820, F49, 8) (dual of [5764820, 5764788, 9]-code) | [i] | ✔ | |
| 17 | Linear OA(4953, 5764825, F49, 13) (dual of [5764825, 5764772, 14]-code) | [i] | ✔ | |
| 18 | Linear OA(4930, 5764811, F49, 8) (dual of [5764811, 5764781, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |