Information on Result #1203446
Digital (12, 25, 2730)-net over F128, using net defined by OOA based on linear OOA(12825, 2730, F128, 13, 13) (dual of [(2730, 13), 35465, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(12825, 16381, F128, 13) (dual of [16381, 16356, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(12825, 16384, F128, 13) (dual of [16384, 16359, 14]-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 (18, 31, 2859)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (19, 32, 2880)-net over F128 | [i] | ||
| 3 | Digital (21, 34, 2988)-net over F128 | [i] | ||
| 4 | Digital (22, 35, 3009)-net over F128 | [i] | ||
| 5 | (22, 35, 2730)-net in base 32 | [i] | Base Change | |