Information on Result #2271694
Linear OA(4184, large, F4, 19) (dual of [large, large−184, 20]-code), using 15 times code embedding in larger space based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4184, 7241389, F4, 2, 19) (dual of [(7241389, 2), 14482594, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4184, 7241389, F4, 3, 19) (dual of [(7241389, 3), 21723983, 20]-NRT-code) | [i] | ||
| 3 | Digital (165, 184, 7241389)-net over F4 | [i] | ||