Information on Result #1205364
Digital (127, 142, 2396742)-net over F5, using trace code for nets based on digital (56, 71, 1198371)-net over F25, using
- net defined by OOA [i] based on linear OOA(2571, 1198371, F25, 15, 15) (dual of [(1198371, 15), 17975494, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2571, 8388598, F25, 15) (dual of [8388598, 8388527, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2571, 8388598, F25, 15) (dual of [8388598, 8388527, 16]-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 (128, 143, 2396742)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (129, 144, 2396742)-net over F5 | [i] | ||
| 3 | Digital (130, 145, 2396742)-net over F5 | [i] | ||
| 4 | Digital (131, 146, 2396742)-net over F5 | [i] | ||
| 5 | Digital (132, 147, 2396742)-net over F5 | [i] | ||
| 6 | Digital (133, 148, 2396742)-net over F5 | [i] | ||
| 7 | Digital (134, 149, 2396748)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 8 | Digital (135, 150, 2396752)-net over F5 | [i] | ||