Information on Result #618471
Linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, 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(742, large, F7, 6) (dual of [large, large−42, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(4924, 5764851, F49, 6) (dual of [5764851, 5764827, 7]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4925, 5767203, F49, 6) (dual of [5767203, 5767178, 7]-code) | [i] | ||
| 4 | Linear OA(4925, 5764805, F49, 7) (dual of [5764805, 5764780, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4921, 5764805, F49, 6) (dual of [5764805, 5764784, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(4930, 5764810, F49, 8) (dual of [5764810, 5764780, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(4922, 5764810, F49, 6) (dual of [5764810, 5764788, 7]-code) | [i] | ✔ | |
| 8 | Linear OA(4935, 5764815, F49, 9) (dual of [5764815, 5764780, 10]-code) | [i] | ✔ | |
| 9 | Linear OA(4923, 5764815, F49, 6) (dual of [5764815, 5764792, 7]-code) | [i] | ✔ | |
| 10 | Linear OA(4940, 5764820, F49, 10) (dual of [5764820, 5764780, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(4945, 5764825, F49, 11) (dual of [5764825, 5764780, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(4950, 5764830, F49, 12) (dual of [5764830, 5764780, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(4930, 5764811, F49, 8) (dual of [5764811, 5764781, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(4922, 5764811, F49, 6) (dual of [5764811, 5764789, 7]-code) | [i] | ✔ | |