Information on Result #1117183
Linear OOA(3113, 1677731, F3, 5, 11) (dual of [(1677731, 5), 8388542, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(37, 11, F3, 5, 5) (dual of [(11, 5), 48, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(37, 11, F3, 4, 5) (dual of [(11, 4), 37, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 7, 11)-net over F3, using
- appending kth column [i] based on linear OOA(37, 11, F3, 4, 5) (dual of [(11, 4), 37, 6]-NRT-code), using
- linear OOA(3106, 1677720, F3, 5, 11) (dual of [(1677720, 5), 8388494, 12]-NRT-code), using
- OOA 5-folding [i] based on linear OA(3106, 8388600, F3, 11) (dual of [8388600, 8388494, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- OOA 5-folding [i] based on linear OA(3106, 8388600, F3, 11) (dual of [8388600, 8388494, 12]-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(3156, 3355462, F3, 5, 11) (dual of [(3355462, 5), 16777154, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3176, 5033193, F3, 5, 11) (dual of [(5033193, 5), 25165789, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3113, 1677730, F3, 15, 11) (dual of [(1677730, 15), 25165837, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |