Information on Result #1185584
Digital (191, 222, 11810)-net over F3, using net defined by OOA based on linear OOA(3222, 11810, F3, 31, 31) (dual of [(11810, 31), 365888, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(3222, 177151, F3, 31) (dual of [177151, 176929, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3222, 177159, F3, 31) (dual of [177159, 176937, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- 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(3210, 177147, F3, 29) (dual of [177147, 176937, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(31, 12, F3, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(3222, 177159, F3, 31) (dual of [177159, 176937, 32]-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 (192, 223, 11810)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (193, 224, 11810)-net over F3 | [i] | ||