Information on Result #1198696
Digital (71, 108, 1094)-net over F27, using net defined by OOA based on linear OOA(27108, 1094, F27, 37, 37) (dual of [(1094, 37), 40370, 38]-NRT-code), using
- OOA 18-folding and stacking with additional row [i] based on linear OA(27108, 19693, F27, 37) (dual of [19693, 19585, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(27108, 19694, F27, 37) (dual of [19694, 19586, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(33) [i] based on
- linear OA(27106, 19683, F27, 37) (dual of [19683, 19577, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2797, 19683, F27, 34) (dual of [19683, 19586, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(272, 11, F27, 2) (dual of [11, 9, 3]-code or 11-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(36) ⊂ Ce(33) [i] based on
- discarding factors / shortening the dual code based on linear OA(27108, 19694, F27, 37) (dual of [19694, 19586, 38]-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 (72, 108, 1094)-net over F27 | [i] | t-Expansion | |
| 2 | Digital (72, 109, 1094)-net over F27 | [i] | Net Duplication | |
| 3 | Digital (73, 110, 1094)-net over F27 | [i] | ||
| 4 | Digital (71, 107, 1094)-net over F27 | [i] | m-Reduction | |