Information on Result #895314
Linear OOA(3226, 4194317, F3, 2, 21) (dual of [(4194317, 2), 8388408, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(316, 16, F3, 2, 10) (dual of [(16, 2), 16, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 16, 16)-net over F3, using
- linear OOA(3210, 4194301, F3, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-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(3226, 3270444, F3, 3, 21) (dual of [(3270444, 3), 9811106, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3226, 3270444, F3, 4, 21) (dual of [(3270444, 4), 13081550, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3226, 3270444, F3, 5, 21) (dual of [(3270444, 5), 16351994, 22]-NRT-code) | [i] | ||
| 4 | Digital (205, 226, 3270444)-net over F3 | [i] | ||