Information on Result #1205708
Digital (91, 110, 1864132)-net over F16, using trace code for nets based on digital (36, 55, 932066)-net over F256, using
- net defined by OOA [i] based on linear OOA(25655, 932066, F256, 19, 19) (dual of [(932066, 19), 17709199, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(25655, 8388595, F256, 19) (dual of [8388595, 8388540, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(25655, 8388595, F256, 19) (dual of [8388595, 8388540, 20]-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 (92, 111, 1864132)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (93, 112, 1864132)-net over F16 | [i] | ||
| 3 | Digital (94, 113, 1864132)-net over F16 | [i] | ||
| 4 | Digital (95, 114, 1864132)-net over F16 | [i] | ||
| 5 | Digital (96, 115, 1864132)-net over F16 | [i] | ||
| 6 | Digital (100, 119, 1864149)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 7 | Digital (101, 120, 1864156)-net over F16 | [i] | ||
| 8 | Digital (102, 121, 1864165)-net over F16 | [i] | ||
| 9 | Digital (103, 122, 1864170)-net over F16 | [i] | ||
| 10 | Digital (104, 123, 1864177)-net over F16 | [i] | ||
| 11 | Digital (105, 124, 1864181)-net over F16 | [i] | ||
| 12 | Digital (106, 125, 1864197)-net over F16 | [i] | ||
| 13 | Digital (108, 127, 1864389)-net over F16 | [i] | ||
| 14 | Digital (109, 128, 1864646)-net over F16 | [i] | ||
| 15 | Digital (111, 130, 1864648)-net over F16 | [i] | ||
| 16 | (105, 124, 1864197)-net in base 16 | [i] | ||
| 17 | (106, 125, 1864212)-net in base 16 | [i] | ||