Information on Result #698033
Linear OA(4933, 5764801, F49, 9) (dual of [5764801, 5764768, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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 OOA(4933, 3752215, F49, 2, 9) (dual of [(3752215, 2), 7504397, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4933, 3752215, F49, 3, 9) (dual of [(3752215, 3), 11256612, 10]-NRT-code) | [i] | ||
| 3 | Digital (24, 33, 3752215)-net over F49 | [i] | ||
| 4 | Linear OA(4937, 5764805, F49, 10) (dual of [5764805, 5764768, 11]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4933, 5764805, F49, 9) (dual of [5764805, 5764772, 10]-code) | [i] | ✔ | |
| 6 | Linear OA(4947, 5764815, F49, 12) (dual of [5764815, 5764768, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(4935, 5764815, F49, 9) (dual of [5764815, 5764780, 10]-code) | [i] | ✔ | |