Information on Result #1234936
Linear OOA(3115, 6291476, F3, 4, 8) (dual of [(6291476, 4), 25165789, 9]-NRT-code), using extracting embedded OOA based on digital (107, 115, 6291476)-net over F3, using
- (u, u+v)-construction [i] based on
- digital (3, 7, 26)-net over F3, using
- digital (100, 108, 6291450)-net over F3, using
- trace code for nets [i] based on digital (28, 36, 2097150)-net over F27, using
- net defined by OOA [i] based on linear OOA(2736, 2097150, F27, 8, 8) (dual of [(2097150, 8), 16777164, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(2736, 8388600, F27, 8) (dual of [8388600, 8388564, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2736, large, F27, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(2736, large, F27, 8) (dual of [large, large−36, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(2736, 8388600, F27, 8) (dual of [8388600, 8388564, 9]-code), using
- net defined by OOA [i] based on linear OOA(2736, 2097150, F27, 8, 8) (dual of [(2097150, 8), 16777164, 9]-NRT-code), using
- trace code for nets [i] based on digital (28, 36, 2097150)-net over F27, 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(3115, 6291475, F3, 5, 8) (dual of [(6291475, 5), 31457260, 9]-NRT-code) | [i] | OOA Stacking with Additional Row | |