Information on Result #1010930
Linear OOA(3197, 2796219, F3, 3, 19) (dual of [(2796219, 3), 8388460, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(316, 18, F3, 3, 9) (dual of [(18, 3), 38, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 16, 18)-net over F3, using
- 2 times m-reduction [i] based on digital (7, 18, 18)-net over F3, using
- extracting embedded OOA [i] based on digital (7, 16, 18)-net over F3, using
- linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(3197, 2796219, F3, 4, 19) (dual of [(2796219, 4), 11184679, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3197, 2796219, F3, 5, 19) (dual of [(2796219, 5), 13980898, 20]-NRT-code) | [i] | ||
| 3 | Digital (178, 197, 2796219)-net over F3 | [i] | ||