Information on Result #1205425
Digital (94, 108, 1647088)-net over F7, using trace code for nets based on digital (40, 54, 823544)-net over F49, using
- net defined by OOA [i] based on linear OOA(4954, 823544, F49, 14, 14) (dual of [(823544, 14), 11529562, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(4954, 5764808, F49, 14) (dual of [5764808, 5764754, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4954, 5764810, F49, 14) (dual of [5764810, 5764756, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(4953, 5764801, F49, 14) (dual of [5764801, 5764748, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(491, 9, F49, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(4954, 5764810, F49, 14) (dual of [5764810, 5764756, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(4954, 5764808, F49, 14) (dual of [5764808, 5764754, 15]-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 (95, 109, 1647088)-net over F7 | [i] | Net Duplication | |