Information on Result #1195450
Digital (58, 78, 13107)-net over F16, using net defined by OOA based on linear OOA(1678, 13107, F16, 20, 20) (dual of [(13107, 20), 262062, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(1678, 131070, F16, 20) (dual of [131070, 130992, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1678, 131072, F16, 20) (dual of [131072, 130994, 21]-code), using
- trace code [i] based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- trace code [i] based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1678, 131072, F16, 20) (dual of [131072, 130994, 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, 13107)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (68, 88, 13124)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (69, 89, 13131)-net over F16 | [i] | ||
| 4 | Digital (70, 90, 13140)-net over F16 | [i] | ||