Information on Result #1185508
Digital (192, 221, 12657)-net over F3, using net defined by OOA based on linear OOA(3221, 12657, F3, 29, 29) (dual of [(12657, 29), 366832, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(3221, 177199, F3, 29) (dual of [177199, 176978, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 177202, F3, 29) (dual of [177202, 176981, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- 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(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3221, 177202, F3, 29) (dual of [177202, 176981, 30]-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 (193, 222, 12657)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (194, 223, 12657)-net over F3 | [i] | ||