Information on Result #1191154
Digital (20, 28, 1023)-net over F8, using net defined by OOA based on linear OOA(828, 1023, F8, 8, 8) (dual of [(1023, 8), 8156, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(828, 4092, F8, 8) (dual of [4092, 4064, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(828, 4095, F8, 8) (dual of [4095, 4067, 9]-code), using
- 1 times truncation [i] based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- 1 times truncation [i] based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(828, 4095, F8, 8) (dual of [4095, 4067, 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 (134, 150, 2098173)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (141, 158, 2098173)-net over F8 | [i] | ||