Information on Result #1217278
Digital (62, 72, 1677756)-net over F9, using (u, u+v)-construction based on
- digital (2, 7, 36)-net over F9, using
- net defined by OOA [i] based on linear OOA(97, 36, F9, 5, 5) (dual of [(36, 5), 173, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- net defined by OOA [i] based on linear OOA(97, 36, F9, 5, 5) (dual of [(36, 5), 173, 6]-NRT-code), using
- 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
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 (63, 73, 1677756)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (91, 101, 3355512)-net over F9 | [i] | (u, u+v)-Construction for Nets | |