Information on Result #1191826
Digital (43, 58, 1170)-net over F8, using net defined by OOA based on linear OOA(858, 1170, F8, 15, 15) (dual of [(1170, 15), 17492, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(858, 8191, F8, 15) (dual of [8191, 8133, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(858, 8194, F8, 15) (dual of [8194, 8136, 16]-code), using
- trace code [i] based on linear OA(6429, 4097, F64, 15) (dual of [4097, 4068, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- trace code [i] based on linear OA(6429, 4097, F64, 15) (dual of [4097, 4068, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(858, 8194, F8, 15) (dual of [8194, 8136, 16]-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 (44, 59, 1170)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (50, 65, 1179)-net over F8 | [i] | (u, u+v)-Construction for Nets | |