Information on Result #2271404
Linear OA(4163, large, F4, 17) (dual of [large, large−163, 18]-code), using 18 times code embedding in larger space based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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(4163, 6806010, F4, 2, 17) (dual of [(6806010, 2), 13611857, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4163, 6806010, F4, 3, 17) (dual of [(6806010, 3), 20417867, 18]-NRT-code) | [i] | ||
| 3 | Digital (146, 163, 6806010)-net over F4 | [i] | ||