Information on Result #1205106
Digital (175, 190, 1366568)-net over F3, using trace code for nets based on digital (80, 95, 683284)-net over F9, using
- net defined by OOA [i] based on linear OOA(995, 683284, F9, 15, 15) (dual of [(683284, 15), 10249165, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(995, 4782989, F9, 15) (dual of [4782989, 4782894, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(995, 4782993, F9, 15) (dual of [4782993, 4782898, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(11) [i] based on
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(93, 24, F9, 2) (dual of [24, 21, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- construction X applied to Ce(14) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(995, 4782993, F9, 15) (dual of [4782993, 4782898, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(995, 4782989, F9, 15) (dual of [4782989, 4782894, 16]-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 (176, 191, 1366568)-net over F3 | [i] | Net Duplication | |