Information on Result #1192298
Digital (58, 78, 819)-net over F8, using net defined by OOA based on linear OOA(878, 819, F8, 20, 20) (dual of [(819, 20), 16302, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(878, 8190, F8, 20) (dual of [8190, 8112, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(878, 8192, F8, 20) (dual of [8192, 8114, 21]-code), using
- trace code [i] based on linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- trace code [i] based on linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(878, 8192, F8, 20) (dual of [8192, 8114, 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 (59, 79, 819)-net over F8 | [i] | Net Duplication | |