Information on Result #1221843
Digital (25, 31, 2797909)-net over F27, using (u, u+v)-construction based on
- digital (2, 5, 1708)-net over F27, using
- net defined by OOA [i] based on linear OOA(275, 1708, F27, 3, 3) (dual of [(1708, 3), 5119, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(275, 1708, F27, 2, 3) (dual of [(1708, 2), 3411, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(275, 1708, F27, 3, 3) (dual of [(1708, 3), 5119, 4]-NRT-code), using
- digital (20, 26, 2796201)-net over F27, using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-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 (34, 40, 5595818)-net over F27 | [i] | (u, u+v)-Construction for Nets | |