Information on Result #1193202
Digital (36, 44, 265722)-net over F9, using net defined by OOA based on linear OOA(944, 265722, F9, 8, 8) (dual of [(265722, 8), 2125732, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(944, 1062888, F9, 8) (dual of [1062888, 1062844, 9]-code), using
- trace code [i] based on linear OA(8122, 531444, F81, 8) (dual of [531444, 531422, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(8119, 531441, F81, 7) (dual of [531441, 531422, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- trace code [i] based on linear OA(8122, 531444, F81, 8) (dual of [531444, 531422, 9]-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, 45, 265722)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (40, 48, 265732)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (41, 49, 265738)-net over F9 | [i] | ||