Information on Result #1193808
Digital (66, 80, 151841)-net over F9, using net defined by OOA based on linear OOA(980, 151841, F9, 14, 14) (dual of [(151841, 14), 2125694, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(980, 1062887, F9, 14) (dual of [1062887, 1062807, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(980, 1062888, F9, 14) (dual of [1062888, 1062808, 15]-code), using
- trace code [i] based on linear OA(8140, 531444, F81, 14) (dual of [531444, 531404, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8137, 531441, F81, 13) (dual of [531441, 531404, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(810, 3, F81, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- trace code [i] based on linear OA(8140, 531444, F81, 14) (dual of [531444, 531404, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(980, 1062888, F9, 14) (dual of [1062888, 1062808, 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 (67, 81, 151841)-net over F9 | [i] | Net Duplication | |