Information on Result #1193886
Digital (78, 93, 683283)-net over F9, using net defined by OOA based on linear OOA(993, 683283, F9, 15, 15) (dual of [(683283, 15), 10249152, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(993, 4782982, F9, 15) (dual of [4782982, 4782889, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(993, 4782984, F9, 15) (dual of [4782984, 4782891, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(14) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(993, 4782984, F9, 15) (dual of [4782984, 4782891, 16]-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 (79, 94, 683283)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (171, 186, 1366566)-net over F3 | [i] | Trace Code for Nets | |