Information on Result #1218680
Digital (23, 30, 43948)-net over F16, using (u, u+v)-construction based on
- digital (1, 4, 257)-net over F16, using
- net defined by OOA [i] based on linear OOA(164, 257, F16, 3, 3) (dual of [(257, 3), 767, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(164, 257, F16, 2, 3) (dual of [(257, 2), 510, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(164, 257, F16, 3, 3) (dual of [(257, 3), 767, 4]-NRT-code), using
- digital (19, 26, 43691)-net over F16, using
- net defined by OOA [i] based on linear OOA(1626, 43691, F16, 7, 7) (dual of [(43691, 7), 305811, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1626, 131074, F16, 7) (dual of [131074, 131048, 8]-code), using
- trace code [i] based on linear OA(25613, 65537, F256, 7) (dual of [65537, 65524, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- trace code [i] based on linear OA(25613, 65537, F256, 7) (dual of [65537, 65524, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1626, 131074, F16, 7) (dual of [131074, 131048, 8]-code), using
- net defined by OOA [i] based on linear OOA(1626, 43691, F16, 7, 7) (dual of [(43691, 7), 305811, 8]-NRT-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 (96, 110, 2440690)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (101, 116, 2440690)-net over F16 | [i] | ||