Information on Result #1192178
Digital (55, 74, 910)-net over F8, using net defined by OOA based on linear OOA(874, 910, F8, 19, 19) (dual of [(910, 19), 17216, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(874, 8191, F8, 19) (dual of [8191, 8117, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(874, 8194, F8, 19) (dual of [8194, 8120, 20]-code), using
- trace code [i] based on linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- trace code [i] based on linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(874, 8194, F8, 19) (dual of [8194, 8120, 20]-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 (56, 75, 910)-net over F8 | [i] | Net Duplication | |