Information on Result #1183968
Digital (86, 100, 25308)-net over F3, using net defined by OOA based on linear OOA(3100, 25308, F3, 14, 14) (dual of [(25308, 14), 354212, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(3100, 177156, F3, 14) (dual of [177156, 177056, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3100, 177158, F3, 14) (dual of [177158, 177058, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(3100, 177147, F3, 14) (dual of [177147, 177047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 11, F3, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3100, 177158, F3, 14) (dual of [177158, 177058, 15]-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 (87, 101, 25308)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (88, 102, 25308)-net over F3 | [i] | ||
| 3 | Digital (89, 103, 25308)-net over F3 | [i] | ||
| 4 | Digital (94, 108, 25315)-net over F3 | [i] | (u, u+v)-Construction for Nets | |