Information on Result #1191176
Digital (34, 42, 65535)-net over F8, using net defined by OOA based on linear OOA(842, 65535, F8, 8, 8) (dual of [(65535, 8), 524238, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(842, 262140, F8, 8) (dual of [262140, 262098, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(842, 262143, F8, 8) (dual of [262143, 262101, 9]-code), using
- 1 times truncation [i] based on linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- 1 times truncation [i] based on linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(842, 262143, F8, 8) (dual of [262143, 262101, 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 (148, 164, 2162685)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (155, 172, 2162685)-net over F8 | [i] | ||