Information on Result #1198586
Digital (57, 86, 1407)-net over F27, using net defined by OOA based on linear OOA(2786, 1407, F27, 29, 29) (dual of [(1407, 29), 40717, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(2786, 19699, F27, 29) (dual of [19699, 19613, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(23) [i] based on
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2770, 19683, F27, 24) (dual of [19683, 19613, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(274, 16, F27, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- construction X applied to Ce(28) ⊂ Ce(23) [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 (58, 86, 1407)-net over F27 | [i] | t-Expansion | |
| 2 | Digital (58, 87, 1407)-net over F27 | [i] | Net Duplication | |
| 3 | Digital (59, 88, 1407)-net over F27 | [i] | ||
| 4 | Digital (60, 89, 1407)-net over F27 | [i] | ||
| 5 | Digital (61, 90, 1407)-net over F27 | [i] | ||
| 6 | Digital (57, 85, 1407)-net over F27 | [i] | m-Reduction | |