Information on Result #1205169
Digital (72, 78, large)-net over F3, using trace code for nets 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
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 | Digital (73, 78, large)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (74, 78, large)-net over F3 | [i] | ||
| 3 | Digital (75, 78, large)-net over F3 | [i] | ||
| 4 | Digital (73, 79, large)-net over F3 | [i] | Net Duplication | |
| 5 | Digital (74, 80, large)-net over F3 | [i] | ||
| 6 | Digital (75, 81, large)-net over F3 | [i] | ||
| 7 | Digital (76, 82, large)-net over F3 | [i] | ||
| 8 | Digital (77, 83, large)-net over F3 | [i] | ||
| 9 | Digital (72, 77, large)-net over F3 | [i] | m-Reduction | |
| 10 | Digital (72, 76, large)-net over F3 | [i] | ||
| 11 | Digital (72, 75, large)-net over F3 | [i] | ||
| 12 | Linear OOA(378, large, F3, 3, 6) | [i] | Extracting Embedded OOA | |
| 13 | Linear OOA(378, large, F3, 4, 6) | [i] | ||
| 14 | Linear OOA(378, large, F3, 5, 6) | [i] | ||