Information on Result #1202050
Digital (7, 15, 1640)-net over F81, using net defined by OOA based on linear OOA(8115, 1640, F81, 8, 8) (dual of [(1640, 8), 13105, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(8115, 6560, F81, 8) (dual of [6560, 6545, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-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 (11, 19, 1722)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (60, 76, 1050215)-net over F81 | [i] | ||
| 3 | Digital (47, 64, 68070)-net over F81 | [i] | ||
| 4 | Digital (63, 80, 1050215)-net over F81 | [i] | ||
| 5 | (12, 20, 1640)-net in base 27 | [i] | Base Change | |