Information on Result #1213166
Digital (39, 44, large)-net over F5, using (u, u+v)-construction based on
- digital (0, 2, 6)-net over F5, using
- digital (37, 42, 8388602)-net over F5, using
- trace code for nets [i] based on digital (16, 21, 4194301)-net over F25, using
- net defined by OOA [i] based on linear OOA(2521, 4194301, F25, 5, 5) (dual of [(4194301, 5), 20971484, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- net defined by OOA [i] based on linear OOA(2521, 4194301, F25, 5, 5) (dual of [(4194301, 5), 20971484, 6]-NRT-code), using
- trace code for nets [i] based on digital (16, 21, 4194301)-net over F25, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (40, 44, large)-net over F5 | [i] | t-Expansion | |
| 2 | Digital (40, 45, large)-net over F5 | [i] | Net Duplication | |
| 3 | Digital (39, 43, large)-net over F5 | [i] | m-Reduction | |
| 4 | Digital (39, 42, large)-net over F5 | [i] | ||