Information on Result #1201584
Digital (34, 52, 29127)-net over F64, using net defined by OOA based on linear OOA(6452, 29127, F64, 18, 18) (dual of [(29127, 18), 524234, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(6452, 262143, F64, 18) (dual of [262143, 262091, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-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 (35, 53, 29127)-net over F64 | [i] | Net Duplication | |
| 2 | Digital (43, 61, 29192)-net over F64 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (44, 62, 29207)-net over F64 | [i] | ||
| 4 | Digital (46, 64, 29231)-net over F64 | [i] | ||
| 5 | Digital (47, 65, 29257)-net over F64 | [i] | ||
| 6 | Digital (48, 66, 29272)-net over F64 | [i] | ||
| 7 | Digital (49, 67, 29287)-net over F64 | [i] | ||
| 8 | Digital (50, 68, 29304)-net over F64 | [i] | ||
| 9 | Digital (50, 68, 29322)-net over F64 | [i] | ||
| 10 | (60, 78, 29127)-net in base 16 | [i] | Base Change | |