Information on Result #1207910
Digital (127, 137, 3355451)-net over F3, using (u, u+v)-construction based on
- digital (2, 7, 11)-net over F3, using
- digital (120, 130, 3355440)-net over F3, using
- trace code for nets [i] 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
- net defined by OOA [i] based on linear OOA(965, 1677720, F9, 10, 10) (dual of [(1677720, 10), 16777135, 11]-NRT-code), using
- trace code for nets [i] based on digital (55, 65, 1677720)-net over F9, 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 (173, 183, 6710902)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Linear OOA(3137, 3355451, F3, 5, 10) (dual of [(3355451, 5), 16777118, 11]-NRT-code) | [i] | Extracting Embedded OOA | |