Information on Result #895256
Linear OOA(3197, 4194319, F3, 2, 19) (dual of [(4194319, 2), 8388441, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(316, 18, F3, 2, 9) (dual of [(18, 2), 20, 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, 4194301, F3, 2, 19) (dual of [(4194301, 2), 8388421, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3181, 8388602, F3, 19) (dual of [8388602, 8388421, 20]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- OOA 2-folding [i] based on linear OA(3181, 8388602, F3, 19) (dual of [8388602, 8388421, 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, 2097159, F3, 4, 19) (dual of [(2097159, 4), 8388439, 20]-NRT-code) | [i] | OOA Folding | |