Information on Result #1205067
Digital (120, 130, 3355440)-net over F3, using trace code for nets based on digital (55, 65, 1677720)-net over F9, using
- net defined by OOA [i] based on linear OOA(965, 1677720, F9, 10, 10) (dual of [(1677720, 10), 16777135, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(965, 8388600, F9, 10) (dual of [8388600, 8388535, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(965, large, F9, 10) (dual of [large, large−65, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(965, 8388600, F9, 10) (dual of [8388600, 8388535, 11]-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 (121, 131, 3355440)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (122, 132, 3355440)-net over F3 | [i] | ||
| 3 | Digital (123, 133, 3355440)-net over F3 | [i] | ||
| 4 | Digital (124, 134, 3355440)-net over F3 | [i] | ||
| 5 | Digital (125, 135, 3355444)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (126, 136, 3355447)-net over F3 | [i] | ||
| 7 | Digital (127, 137, 3355451)-net over F3 | [i] | ||
| 8 | Linear OOA(3130, 3355440, F3, 5, 10) (dual of [(3355440, 5), 16777070, 11]-NRT-code) | [i] | Extracting Embedded OOA | |