Information on Result #1200590
Digital (40, 51, 1677720)-net over F49, using net defined by OOA based on linear OOA(4951, 1677720, F49, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(4951, 8388601, F49, 11) (dual of [8388601, 8388550, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(4951, large, F49, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, 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(4951, large, F49, 11) (dual of [large, large−51, 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 (41, 52, 1677720)-net over F49 | [i] | Net Duplication | |
| 2 | Digital (42, 53, 1677720)-net over F49 | [i] | ||
| 3 | Digital (43, 54, 1677720)-net over F49 | [i] | ||
| 4 | Digital (44, 55, 1677720)-net over F49 | [i] | ||
| 5 | Digital (40, 50, 1677720)-net over F49 | [i] | m-Reduction | |
| 6 | Digital (91, 102, 3355440)-net over F7 | [i] | Trace Code for Nets | |