Information on Result #1202064
Digital (14, 22, 132861)-net over F81, using net defined by OOA based on linear OOA(8122, 132861, F81, 8, 8) (dual of [(132861, 8), 1062866, 9]-NRT-code), using
- OA 4-folding and stacking [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
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 (18, 26, 132943)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (19, 27, 132961)-net over F81 | [i] | ||
| 3 | Digital (20, 28, 136101)-net over F81 | [i] | ||
| 4 | Digital (36, 44, large)-net over F81 | [i] | Generalized (u, u+v)-Construction for Nets | |