Information on Result #1117185
Linear OOA(3115, 1677748, F3, 5, 11) (dual of [(1677748, 5), 8388625, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(39, 28, F3, 5, 5) (dual of [(28, 5), 131, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(39, 28, F3, 4, 5) (dual of [(28, 4), 103, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 9, 28)-net over F3, using
- appending kth column [i] based on linear OOA(39, 28, F3, 4, 5) (dual of [(28, 4), 103, 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(3158, 3355496, F3, 5, 11) (dual of [(3355496, 5), 16777322, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3178, 5033244, F3, 5, 11) (dual of [(5033244, 5), 25166042, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3115, 1677747, F3, 15, 11) (dual of [(1677747, 15), 25166090, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |