Information on Result #1198680
Digital (66, 101, 1158)-net over F27, using net defined by OOA based on linear OOA(27101, 1158, F27, 35, 35) (dual of [(1158, 35), 40429, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(27101, 19687, F27, 35) (dual of [19687, 19586, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(27101, 19690, F27, 35) (dual of [19690, 19589, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- linear OA(27100, 19683, F27, 35) (dual of [19683, 19583, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2794, 19683, F27, 33) (dual of [19683, 19589, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(271, 7, F27, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- discarding factors / shortening the dual code based on linear OA(27101, 19690, F27, 35) (dual of [19690, 19589, 36]-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, 101, 1158)-net over F27 | [i] | t-Expansion | |
| 2 | Digital (67, 102, 1158)-net over F27 | [i] | Net Duplication | |
| 3 | Digital (68, 103, 1158)-net over F27 | [i] | ||
| 4 | Digital (69, 104, 1158)-net over F27 | [i] | ||
| 5 | Digital (66, 100, 1158)-net over F27 | [i] | m-Reduction | |