Information on Result #1215115
Digital (62, 72, 1677748)-net over F8, using (u, u+v)-construction based on
- digital (2, 7, 28)-net over F8, using
- net defined by OOA [i] based on linear OOA(87, 28, F8, 5, 5) (dual of [(28, 5), 133, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- net defined by OOA [i] based on linear OOA(87, 28, F8, 5, 5) (dual of [(28, 5), 133, 6]-NRT-code), using
- digital (55, 65, 1677720)-net over F8, using
- net defined by OOA [i] based on linear OOA(865, 1677720, F8, 10, 10) (dual of [(1677720, 10), 16777135, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(865, 8388600, F8, 10) (dual of [8388600, 8388535, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(865, large, F8, 10) (dual of [large, large−65, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(865, large, F8, 10) (dual of [large, large−65, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(865, 8388600, F8, 10) (dual of [8388600, 8388535, 11]-code), using
- net defined by OOA [i] based on linear OOA(865, 1677720, F8, 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, 1677748)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (95, 105, 3355496)-net over F8 | [i] | (u, u+v)-Construction for Nets | |