Information on Result #2265433
Linear OA(3222, large, F3, 19) (dual of [large, large−222, 20]-code), using 41 times code embedding in larger space based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, 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(3222, 5721242, F3, 2, 19) (dual of [(5721242, 2), 11442262, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3222, 5721242, F3, 3, 19) (dual of [(5721242, 3), 17163504, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(3222, 5721242, F3, 4, 19) (dual of [(5721242, 4), 22884746, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3222, 5721242, F3, 5, 19) (dual of [(5721242, 5), 28605988, 20]-NRT-code) | [i] | ||
| 5 | Digital (203, 222, 5721242)-net over F3 | [i] | ||