Information on Result #895046
Linear OOA(3131, 4194320, F3, 2, 13) (dual of [(4194320, 2), 8388509, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(310, 19, F3, 2, 6) (dual of [(19, 2), 28, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 10, 19)-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(3131, 3234516, F3, 3, 13) (dual of [(3234516, 3), 9703417, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3131, 3234516, F3, 4, 13) (dual of [(3234516, 4), 12937933, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3131, 3234516, F3, 5, 13) (dual of [(3234516, 5), 16172449, 14]-NRT-code) | [i] | ||
| 4 | Digital (118, 131, 3234516)-net over F3 | [i] | ||
| 5 | Linear OOA(3131, 2097160, F3, 4, 13) (dual of [(2097160, 4), 8388509, 14]-NRT-code) | [i] | OOA Folding | |