Information on Result #1185612
Digital (200, 232, 11072)-net over F3, using net defined by OOA based on linear OOA(3232, 11072, F3, 32, 32) (dual of [(11072, 32), 354072, 33]-NRT-code), using
- OA 16-folding and stacking [i] based on linear OA(3232, 177152, F3, 32) (dual of [177152, 176920, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3232, 177158, F3, 32) (dual of [177158, 176926, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- linear OA(3232, 177147, F3, 32) (dual of [177147, 176915, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(30, 11, F3, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(31) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(3232, 177158, F3, 32) (dual of [177158, 176926, 33]-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 (201, 233, 11072)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (202, 234, 11072)-net over F3 | [i] | ||
| 3 | Digital (203, 235, 11072)-net over F3 | [i] | ||
| 4 | Digital (217, 249, 11079)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (218, 250, 11080)-net over F3 | [i] | ||