Information on Result #2873067
Linear OOA(3188, large, F3, 5, 6), using 22 times NRT-code embedding in larger space based on linear OOA(378, large, F3, 5, 6), using
- extracting embedded OOA [i] based on digital (72, 78, large)-net over F3, using
- trace code for nets [i] based on digital (20, 26, 2796201)-net over F27, using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- trace code for nets [i] based on digital (20, 26, 2796201)-net over F27, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(3189, large, F3, 5, 6) | [i] | OOA Duplication | |
| 2 | Linear OOA(3190, large, F3, 5, 6) | [i] | ||
| 3 | Linear OOA(3191, large, F3, 5, 6) | [i] | ||
| 4 | Linear OOA(3192, large, F3, 5, 6) | [i] | ||