Information on Result #618519
Linear OA(4919, 241, F49, 11) (dual of [241, 222, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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 OOA(4919, 204, F49, 2, 11) (dual of [(204, 2), 389, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4919, 204, F49, 3, 11) (dual of [(204, 3), 593, 12]-NRT-code) | [i] | ||
| 3 | Digital (8, 19, 204)-net over F49 | [i] | ||
| 4 | Linear OA(4921, 243, F49, 12) (dual of [243, 222, 13]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4919, 242, F49, 11) (dual of [242, 223, 12]-code) | [i] | ✔ | |
| 6 | Linear OOA(4919, 80, F49, 3, 11) (dual of [(80, 3), 221, 12]-NRT-code) | [i] | OOA Folding | |