Information on Result #1195752
Digital (88, 118, 8738)-net over F16, using net defined by OOA based on linear OOA(16118, 8738, F16, 30, 30) (dual of [(8738, 30), 262022, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(16118, 131070, F16, 30) (dual of [131070, 130952, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(16118, 131072, F16, 30) (dual of [131072, 130954, 31]-code), using
- trace code [i] based on linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- trace code [i] based on linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(16118, 131072, F16, 30) (dual of [131072, 130954, 31]-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 (89, 119, 8738)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (90, 120, 8738)-net over F16 | [i] | ||