Information on Result #1117187
Linear OOA(3117, 1677797, F3, 5, 11) (dual of [(1677797, 5), 8388868, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(311, 77, F3, 5, 5) (dual of [(77, 5), 374, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(311, 77, F3, 4, 5) (dual of [(77, 4), 297, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 77)-net over F3, using
- appending kth column [i] based on linear OOA(311, 77, F3, 4, 5) (dual of [(77, 4), 297, 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(3160, 3355594, F3, 5, 11) (dual of [(3355594, 5), 16777810, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3180, 5033391, F3, 5, 11) (dual of [(5033391, 5), 25166775, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3117, 1677796, F3, 15, 11) (dual of [(1677796, 15), 25166823, 12]-NRT-code) | [i] | OOA Stacking with Additional Row | |