Information on Result #1179068
Digital (7, 11, 265724)-net over F81, using net defined by OOA based on linear OOA(8111, 265724, F81, 4, 4) (dual of [(265724, 4), 1062885, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(8111, 531448, F81, 4) (dual of [531448, 531437, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(8110, 531441, F81, 4) (dual of [531441, 531431, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(814, 531441, F81, 2) (dual of [531441, 531437, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 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(3) ⊂ Ce(1) [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 (32, 40, 2362874)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (35, 44, 2362874)-net over F81 | [i] | ||
| 3 | Digital (68, 81, 3061924)-net over F81 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 4 | Digital (65, 77, 3061924)-net over F81 | [i] | ||