Information on Result #895048
Linear OOA(3133, 4194334, F3, 2, 13) (dual of [(4194334, 2), 8388535, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(312, 33, F3, 2, 6) (dual of [(33, 2), 54, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 33)-net over F3, using
- linear OOA(3121, 4194301, F3, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-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(3133, 4029339, F3, 3, 13) (dual of [(4029339, 3), 12087884, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3133, 4029339, F3, 4, 13) (dual of [(4029339, 4), 16117223, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3133, 4029339, F3, 5, 13) (dual of [(4029339, 5), 20146562, 14]-NRT-code) | [i] | ||
| 4 | Digital (120, 133, 4029339)-net over F3 | [i] | ||
| 5 | Linear OOA(3133, 2097167, F3, 4, 13) (dual of [(2097167, 4), 8388535, 14]-NRT-code) | [i] | OOA Folding | |