Information on Result #1205609
Digital (31, 38, 5592400)-net over F16, using trace code for nets based on digital (12, 19, 2796200)-net over F256, using
- net defined by OOA [i] based on linear OOA(25619, 2796200, F256, 7, 7) (dual of [(2796200, 7), 19573381, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(25619, 2796200, F256, 6, 7) (dual of [(2796200, 6), 16777181, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- appending kth column [i] based on linear OOA(25619, 2796200, F256, 6, 7) (dual of [(2796200, 6), 16777181, 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 (32, 39, 5592400)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (33, 40, 5592400)-net over F16 | [i] | ||
| 3 | Digital (34, 41, 5592417)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (35, 42, 5592657)-net over F16 | [i] | ||
| 5 | Digital (36, 43, 5593029)-net over F16 | [i] | ||
| 6 | Digital (37, 44, 5597026)-net over F16 | [i] | ||
| 7 | Digital (38, 45, 5658448)-net over F16 | [i] | ||
| 8 | Digital (39, 46, 5754052)-net over F16 | [i] | ||
| 9 | Digital (40, 47, 6781282)-net over F16 | [i] | ||
| 10 | (36, 43, 5593425)-net in base 16 | [i] | ||