Information on Result #1193816
Digital (72, 86, 683283)-net over F9, using net defined by OOA based on linear OOA(986, 683283, F9, 14, 14) (dual of [(683283, 14), 9565876, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(986, 4782981, F9, 14) (dual of [4782981, 4782895, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(986, 4782984, F9, 14) (dual of [4782984, 4782898, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(986, 4782984, F9, 14) (dual of [4782984, 4782898, 15]-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 (73, 87, 683283)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (158, 172, 1366566)-net over F3 | [i] | Trace Code for Nets | |