Information on Result #1195778
Digital (97, 130, 8192)-net over F16, using net defined by OOA based on linear OOA(16130, 8192, F16, 33, 33) (dual of [(8192, 33), 270206, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(16130, 131073, F16, 33) (dual of [131073, 130943, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(16130, 131074, F16, 33) (dual of [131074, 130944, 34]-code), using
- trace code [i] based on linear OA(25665, 65537, F256, 33) (dual of [65537, 65472, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- trace code [i] based on linear OA(25665, 65537, F256, 33) (dual of [65537, 65472, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(16130, 131074, F16, 33) (dual of [131074, 130944, 34]-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 (97, 129, 8192)-net over F16 | [i] | m-Reduction | |