Information on Result #1215167
Digital (67, 78, 1677729)-net over F8, using (u, u+v)-construction based on
- digital (0, 5, 9)-net over F8, using
- net from sequence [i] based on digital (0, 8)-sequence over F8, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 0 and N(F) ≥ 9, using
- the rational function field F8(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 8)-sequence over F8, using
- digital (62, 73, 1677720)-net over F8, using
- net defined by OOA [i] based on linear OOA(873, 1677720, F8, 11, 11) (dual of [(1677720, 11), 18454847, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(873, 8388601, F8, 11) (dual of [8388601, 8388528, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(873, large, F8, 11) (dual of [large, large−73, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(873, large, F8, 11) (dual of [large, large−73, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(873, 8388601, F8, 11) (dual of [8388601, 8388528, 12]-code), using
- net defined by OOA [i] based on linear OOA(873, 1677720, F8, 11, 11) (dual of [(1677720, 11), 18454847, 12]-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 (100, 111, 3355458)-net over F8 | [i] | (u, u+v)-Construction for Nets | |