Information on Result #1215038
Digital (32, 40, 8205)-net over F8, using (u, u+v)-construction based on
- digital (1, 5, 14)-net over F8, using
- net from sequence [i] based on digital (1, 13)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- net from sequence [i] based on digital (1, 13)-sequence over F8, using
- digital (27, 35, 8191)-net over F8, using
- net defined by OOA [i] based on linear OOA(835, 8191, F8, 8, 8) (dual of [(8191, 8), 65493, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(835, 32764, F8, 8) (dual of [32764, 32729, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(835, 32767, F8, 8) (dual of [32767, 32732, 9]-code), using
- 1 times truncation [i] based on linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- 1 times truncation [i] based on linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(835, 32767, F8, 8) (dual of [32767, 32732, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(835, 32764, F8, 8) (dual of [32764, 32729, 9]-code), using
- net defined by OOA [i] based on linear OOA(835, 8191, F8, 8, 8) (dual of [(8191, 8), 65493, 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 (146, 162, 2105355)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (153, 170, 2105355)-net over F8 | [i] | ||