Information on Result #1189634
Digital (28, 33, 2882404)-net over F7, using net defined by OOA based on linear OOA(733, 2882404, F7, 5, 5) (dual of [(2882404, 5), 14411987, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(733, 5764809, F7, 5) (dual of [5764809, 5764776, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(733, 5764801, F7, 5) (dual of [5764801, 5764768, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(725, 5764801, F7, 4) (dual of [5764801, 5764776, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(70, 8, F7, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
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 (97, 107, 4611844)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (99, 109, 4611848)-net over F7 | [i] | ||
| 3 | Digital (100, 110, 4611852)-net over F7 | [i] | Generalized (u, u+v)-Construction for Nets | |