Information on Result #1205314
Digital (234, 256, 3050400)-net over F4, using trace code for nets based on digital (42, 64, 762600)-net over F256, using
- net defined by OOA [i] based on linear OOA(25664, 762600, F256, 22, 22) (dual of [(762600, 22), 16777136, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(25664, 8388600, F256, 22) (dual of [8388600, 8388536, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(25664, large, F256, 22) (dual of [large, large−64, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(25664, large, F256, 22) (dual of [large, large−64, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(25664, 8388600, F256, 22) (dual of [8388600, 8388536, 23]-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 (235, 257, 3050400)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (236, 258, 3050400)-net over F4 | [i] | ||
| 3 | Digital (237, 259, 3050400)-net over F4 | [i] | ||
| 4 | Digital (238, 260, 3050400)-net over F4 | [i] | ||