Information on Result #2265434
Linear OA(3223, large, F3, 19) (dual of [large, large−223, 20]-code), using 42 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(3223, 6103182, F3, 2, 19) (dual of [(6103182, 2), 12206141, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3223, 6103182, F3, 3, 19) (dual of [(6103182, 3), 18309323, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(3223, 6103182, F3, 4, 19) (dual of [(6103182, 4), 24412505, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3223, 6103182, F3, 5, 19) (dual of [(6103182, 5), 30515687, 20]-NRT-code) | [i] | ||
| 5 | Digital (204, 223, 6103182)-net over F3 | [i] | ||