Information on Result #3178373
Digital (43, 70, 740)-net over F81, using 1 times m-reduction based on digital (43, 71, 740)-net over F81, using
- (u, u+v)-construction [i] based on
- digital (13, 27, 937)-net over F81, using
- net defined by OOA [i] based on linear OOA(8127, 937, F81, 14, 14) (dual of [(937, 14), 13091, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(8127, 6559, F81, 14) (dual of [6559, 6532, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(8127, 6559, F81, 14) (dual of [6559, 6532, 15]-code), using
- net defined by OOA [i] based on linear OOA(8127, 937, F81, 14, 14) (dual of [(937, 14), 13091, 15]-NRT-code), using
- digital (16, 44, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- digital (13, 27, 937)-net over F81, 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 (44, 70, 740)-net over F81 | [i] | t-Expansion | |