Information on Result #1215067
Digital (24, 33, 1032)-net over F8, using (u, u+v)-construction based on
- digital (0, 4, 9)-net over F8, using
- net from sequence [i] based on digital (0, 8)-sequence over F8, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 0 and N(F) ≥ 9, using
- the rational function field F8(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 8)-sequence over F8, using
- digital (20, 29, 1023)-net over F8, using
- net defined by OOA [i] based on linear OOA(829, 1023, F8, 9, 9) (dual of [(1023, 9), 9178, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(829, 4093, F8, 9) (dual of [4093, 4064, 10]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(829, 4096, F8, 9) (dual of [4096, 4067, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(829, 4093, F8, 9) (dual of [4093, 4064, 10]-code), using
- net defined by OOA [i] based on linear OOA(829, 1023, F8, 9, 9) (dual of [(1023, 9), 9178, 10]-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 (153, 171, 1865166)-net over F8 | [i] | (u, u+v)-Construction for Nets | |