Information on Result #1205059
Digital (104, 114, 1913186)-net over F3, using trace code for nets based on digital (47, 57, 956593)-net over F9, using
- net defined by OOA [i] based on linear OOA(957, 956593, F9, 10, 10) (dual of [(956593, 10), 9565873, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(957, 4782965, F9, 10) (dual of [4782965, 4782908, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(957, 4782965, F9, 10) (dual of [4782965, 4782908, 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 (105, 115, 1913186)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (111, 121, 1913197)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (112, 122, 1913204)-net over F3 | [i] | ||
| 4 | Digital (113, 123, 1913214)-net over F3 | [i] | ||
| 5 | Digital (114, 124, 1913224)-net over F3 | [i] | ||
| 6 | Digital (115, 125, 1913263)-net over F3 | [i] | ||
| 7 | Digital (116, 126, 1913281)-net over F3 | [i] | ||
| 8 | Digital (117, 127, 1913289)-net over F3 | [i] | ||
| 9 | Linear OOA(3114, 1913186, F3, 5, 10) (dual of [(1913186, 5), 9565816, 11]-NRT-code) | [i] | Extracting Embedded OOA | |