Information on Result #1193522
Digital (36, 48, 2188)-net over F9, using net defined by OOA based on linear OOA(948, 2188, F9, 12, 12) (dual of [(2188, 12), 26208, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(948, 13128, F9, 12) (dual of [13128, 13080, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(948, 13132, F9, 12) (dual of [13132, 13084, 13]-code), using
- trace code [i] based on linear OA(8124, 6566, F81, 12) (dual of [6566, 6542, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(8123, 6561, F81, 12) (dual of [6561, 6538, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- trace code [i] based on linear OA(8124, 6566, F81, 12) (dual of [6566, 6542, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(948, 13132, F9, 12) (dual of [13132, 13084, 13]-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 (37, 49, 2188)-net over F9 | [i] | Net Duplication | |