Information on Result #2271793
Linear OA(4189, large, F4, 20) (dual of [large, large−189, 21]-code), using 9 times code embedding in larger space based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(4189, 4888658, F4, 2, 20) (dual of [(4888658, 2), 9777127, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4189, 4888658, F4, 3, 20) (dual of [(4888658, 3), 14665785, 21]-NRT-code) | [i] | ||
| 3 | Digital (169, 189, 4888658)-net over F4 | [i] | ||