Information on Result #1192372
Digital (61, 82, 819)-net over F8, using net defined by OOA based on linear OOA(882, 819, F8, 21, 21) (dual of [(819, 21), 17117, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(882, 8191, F8, 21) (dual of [8191, 8109, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(882, 8194, F8, 21) (dual of [8194, 8112, 22]-code), using
- trace code [i] based on linear OA(6441, 4097, F64, 21) (dual of [4097, 4056, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- trace code [i] based on linear OA(6441, 4097, F64, 21) (dual of [4097, 4056, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(882, 8194, F8, 21) (dual of [8194, 8112, 22]-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 (62, 83, 819)-net over F8 | [i] | Net Duplication | |