Information on Result #1202778
Digital (19, 39, 656)-net over F81, using net defined by OOA based on linear OOA(8139, 656, F81, 20, 20) (dual of [(656, 20), 13081, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(8139, 6560, F81, 20) (dual of [6560, 6521, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-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 (29, 49, 738)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (30, 50, 756)-net over F81 | [i] | ||
| 3 | Digital (31, 51, 772)-net over F81 | [i] | ||
| 4 | Digital (33, 53, 806)-net over F81 | [i] | ||
| 5 | Digital (34, 54, 820)-net over F81 | [i] | ||
| 6 | Digital (35, 55, 838)-net over F81 | [i] | ||
| 7 | Digital (36, 56, 856)-net over F81 | [i] | ||
| 8 | (32, 52, 656)-net in base 27 | [i] | Base Change | |