Information on Result #1225205
Digital (89, 109, 838924)-net over F32, using (u, u+v)-construction based on
- digital (3, 13, 64)-net over F32, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- net from sequence [i] based on digital (3, 63)-sequence over F32, using
- digital (76, 96, 838860)-net over F32, using
- net defined by OOA [i] based on linear OOA(3296, 838860, F32, 20, 20) (dual of [(838860, 20), 16777104, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3296, 8388600, F32, 20) (dual of [8388600, 8388504, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3296, large, F32, 20) (dual of [large, large−96, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3296, large, F32, 20) (dual of [large, large−96, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(3296, 8388600, F32, 20) (dual of [8388600, 8388504, 21]-code), using
- net defined by OOA [i] based on linear OOA(3296, 838860, F32, 20, 20) (dual of [(838860, 20), 16777104, 21]-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 (90, 110, 838924)-net over F32 | [i] | Net Duplication | |