Information on Result #1205318
Digital (37, 42, 8388602)-net over F5, using trace code for nets 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
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 (38, 43, 8388602)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (39, 44, large)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Linear OOA(542, 8388602, F5, 3, 5) (dual of [(8388602, 3), 25165764, 6]-NRT-code) | [i] | Extracting Embedded OOA | |