Information on Result #1213325
Digital (75, 85, 1677726)-net over F5, using (u, u+v)-construction based on
- digital (0, 5, 6)-net over F5, using
- net from sequence [i] based on digital (0, 5)-sequence over F5, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 0 and N(F) ≥ 6, using
- the rational function field F5(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 5)-sequence over F5, using
- digital (70, 80, 1677720)-net over F5, using
- net defined by OOA [i] based on linear OOA(580, 1677720, F5, 10, 10) (dual of [(1677720, 10), 16777120, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(580, 8388600, F5, 10) (dual of [8388600, 8388520, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(580, large, F5, 10) (dual of [large, large−80, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(580, large, F5, 10) (dual of [large, large−80, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(580, 8388600, F5, 10) (dual of [8388600, 8388520, 11]-code), using
- net defined by OOA [i] based on linear OOA(580, 1677720, F5, 10, 10) (dual of [(1677720, 10), 16777120, 11]-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 (115, 125, 3355452)-net over F5 | [i] | (u, u+v)-Construction for Nets | |