Information on Result #1205182
Digital (226, 243, 3145725)-net over F3, using trace code for nets based on digital (64, 81, 1048575)-net over F27, using
- net defined by OOA [i] based on linear OOA(2781, 1048575, F27, 17, 17) (dual of [(1048575, 17), 17825694, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2781, 8388601, F27, 17) (dual of [8388601, 8388520, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2781, large, F27, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2781, large, F27, 17) (dual of [large, large−81, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2781, 8388601, F27, 17) (dual of [8388601, 8388520, 18]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (227, 244, 3145725)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (228, 245, 3145725)-net over F3 | [i] | ||
| 3 | Digital (229, 246, 3145725)-net over F3 | [i] | ||
| 4 | Digital (230, 247, 3145725)-net over F3 | [i] | ||
| 5 | Digital (231, 248, 3145725)-net over F3 | [i] | ||
| 6 | Digital (232, 249, 3145725)-net over F3 | [i] | ||
| 7 | Digital (233, 250, 3145725)-net over F3 | [i] | ||