Information on Result #1197296
Digital (8, 15, 245)-net over F27, using net defined by OOA based on linear OOA(2715, 245, F27, 7, 7) (dual of [(245, 7), 1700, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2715, 736, F27, 7) (dual of [736, 721, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2715, 737, F27, 7) (dual of [737, 722, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(2713, 729, F27, 7) (dual of [729, 716, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(277, 729, F27, 4) (dual of [729, 722, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(272, 8, F27, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(2715, 737, F27, 7) (dual of [737, 722, 8]-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 (67, 81, 1198616)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (71, 86, 1198616)-net over F27 | [i] | ||