Information on Result #1191212
Digital (25, 34, 2048)-net over F8, using net defined by OOA based on linear OOA(834, 2048, F8, 9, 9) (dual of [(2048, 9), 18398, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(834, 8193, F8, 9) (dual of [8193, 8159, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(834, 8194, F8, 9) (dual of [8194, 8160, 10]-code), using
- trace code [i] based on linear OA(6417, 4097, F64, 9) (dual of [4097, 4080, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- trace code [i] based on linear OA(6417, 4097, F64, 9) (dual of [4097, 4080, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(834, 8194, F8, 9) (dual of [8194, 8160, 10]-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 (154, 172, 1866182)-net over F8 | [i] | (u, u+v)-Construction for Nets | |