Information on Result #1182806
Digital (43, 50, 177151)-net over F3, using net defined by OOA based on linear OOA(350, 177151, F3, 7, 7) (dual of [(177151, 7), 1240007, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(350, 531454, F3, 7) (dual of [531454, 531404, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(349, 531441, F3, 7) (dual of [531441, 531392, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(337, 531441, F3, 5) (dual of [531441, 531404, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(4) [i] based on
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 (44, 51, 177151)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (172, 186, 1375522)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (185, 200, 1375522)-net over F3 | [i] | ||