Information on Result #1217170
Digital (29, 35, 354306)-net over F9, using (u, u+v)-construction based on
- digital (0, 3, 10)-net over F9, using
- net from sequence [i] based on digital (0, 9)-sequence over F9, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 0 and N(F) ≥ 10, using
- the rational function field F9(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 9)-sequence over F9, using
- digital (26, 32, 354296)-net over F9, using
- net defined by OOA [i] based on linear OOA(932, 354296, F9, 6, 6) (dual of [(354296, 6), 2125744, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(932, 1062888, F9, 6) (dual of [1062888, 1062856, 7]-code), using
- trace code [i] based on linear OA(8116, 531444, F81, 6) (dual of [531444, 531428, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(8116, 531441, F81, 6) (dual of [531441, 531425, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(8113, 531441, F81, 5) (dual of [531441, 531428, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- trace code [i] based on linear OA(8116, 531444, F81, 6) (dual of [531444, 531428, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(932, 1062888, F9, 6) (dual of [1062888, 1062856, 7]-code), using
- net defined by OOA [i] based on linear OOA(932, 354296, F9, 6, 6) (dual of [(354296, 6), 2125744, 7]-NRT-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 (113, 125, 3150506)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (120, 133, 3150506)-net over F9 | [i] | ||