Information on Result #895370
Linear OOA(3249, 4194327, F3, 2, 23) (dual of [(4194327, 2), 8388405, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(323, 26, F3, 2, 11) (dual of [(26, 2), 29, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 23, 26)-net over F3, using
- 3 times m-reduction [i] based on digital (12, 26, 26)-net over F3, using
- extracting embedded OOA [i] based on digital (12, 23, 26)-net over F3, using
- linear OOA(3226, 4194301, F3, 2, 23) (dual of [(4194301, 2), 8388376, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3226, 8388602, F3, 23) (dual of [8388602, 8388376, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- OOA 2-folding [i] based on linear OA(3226, 8388602, F3, 23) (dual of [8388602, 8388376, 24]-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(3249, 3241315, F3, 3, 23) (dual of [(3241315, 3), 9723696, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3249, 3241315, F3, 4, 23) (dual of [(3241315, 4), 12965011, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3249, 3241315, F3, 5, 23) (dual of [(3241315, 5), 16206326, 24]-NRT-code) | [i] | ||
| 4 | Digital (226, 249, 3241315)-net over F3 | [i] | ||