Information on Result #1195042
Digital (50, 61, 1677720)-net over F16, using net defined by OOA based on linear OOA(1661, 1677720, F16, 11, 11) (dual of [(1677720, 11), 18454859, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(1661, 8388601, F16, 11) (dual of [8388601, 8388540, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1661, large, F16, 11) (dual of [large, large−61, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 1612−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(1661, large, F16, 11) (dual of [large, large−61, 12]-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 (111, 122, 3355440)-net over F4 | [i] | Trace Code for Nets | |