Information on Result #1228747
Digital (11, 19, 16641)-net over F256, using (u, u+v)-construction based on
- digital (0, 4, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- digital (7, 15, 16384)-net over F256, using
- net defined by OOA [i] based on linear OOA(25615, 16384, F256, 8, 8) (dual of [(16384, 8), 131057, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OA 4-folding and stacking [i] based on linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using
- net defined by OOA [i] based on linear OOA(25615, 16384, F256, 8, 8) (dual of [(16384, 8), 131057, 9]-NRT-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 (49, 65, 1065216)-net over F256 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (51, 68, 1065216)-net over F256 | [i] | ||
| 3 | Digital (27, 35, 4260096)-net over F256 | [i] | Generalized (u, u+v)-Construction for Nets | |