Information on Result #1220879
Digital (29, 36, 2797734)-net over F25, using (u, u+v)-construction based on
- digital (2, 5, 1534)-net over F25, using
- net defined by OOA [i] based on linear OOA(255, 1534, F25, 3, 3) (dual of [(1534, 3), 4597, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(255, 1534, F25, 2, 3) (dual of [(1534, 2), 3063, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(255, 1534, F25, 3, 3) (dual of [(1534, 3), 4597, 4]-NRT-code), using
- digital (24, 31, 2796200)-net over F25, using
- net defined by OOA [i] based on linear OOA(2531, 2796200, F25, 7, 7) (dual of [(2796200, 7), 19573369, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2531, 8388601, F25, 7) (dual of [8388601, 8388570, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2531, 8388601, F25, 7) (dual of [8388601, 8388570, 8]-code), using
- net defined by OOA [i] based on linear OOA(2531, 2796200, F25, 7, 7) (dual of [(2796200, 7), 19573369, 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 (38, 45, 5595468)-net over F25 | [i] | (u, u+v)-Construction for Nets | |