Information on Result #1203990
Digital (24, 47, 1490)-net over F128, using net defined by OOA based on linear OOA(12847, 1490, F128, 23, 23) (dual of [(1490, 23), 34223, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(12847, 16391, F128, 23) (dual of [16391, 16344, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(12847, 16392, F128, 23) (dual of [16392, 16345, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- linear OA(12845, 16384, F128, 23) (dual of [16384, 16339, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(1282, 8, F128, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- construction X applied to Ce(22) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(12847, 16392, F128, 23) (dual of [16392, 16345, 24]-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 (25, 47, 1490)-net over F128 | [i] | t-Expansion | |
| 2 | Digital (25, 48, 1490)-net over F128 | [i] | Net Duplication | |
| 3 | Digital (26, 49, 1490)-net over F128 | [i] | ||
| 4 | Digital (24, 46, 1490)-net over F128 | [i] | m-Reduction | |