Information on Result #1227966
Digital (41, 68, 740)-net over F81, using (u, u+v)-construction based on
- digital (12, 25, 1093)-net over F81, using
- net defined by OOA [i] based on linear OOA(8125, 1093, F81, 13, 13) (dual of [(1093, 13), 14184, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(8125, 6559, F81, 13) (dual of [6559, 6534, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(8125, 6561, F81, 13) (dual of [6561, 6536, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(8125, 6561, F81, 13) (dual of [6561, 6536, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(8125, 6559, F81, 13) (dual of [6559, 6534, 14]-code), using
- net defined by OOA [i] based on linear OOA(8125, 1093, F81, 13, 13) (dual of [(1093, 13), 14184, 14]-NRT-code), using
- digital (16, 43, 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
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 (42, 68, 740)-net over F81 | [i] | t-Expansion | |
| 2 | Digital (42, 69, 740)-net over F81 | [i] | Net Duplication | |