Information on Result #1185458
Digital (182, 210, 12657)-net over F3, using net defined by OOA based on linear OOA(3210, 12657, F3, 28, 28) (dual of [(12657, 28), 354186, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(3210, 177198, F3, 28) (dual of [177198, 176988, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 177202, F3, 28) (dual of [177202, 176992, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(21) [i] based on
- linear OA(3199, 177147, F3, 28) (dual of [177147, 176948, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(27) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3210, 177202, F3, 28) (dual of [177202, 176992, 29]-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 (183, 211, 12657)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (184, 212, 12657)-net over F3 | [i] | ||
| 3 | Digital (185, 213, 12657)-net over F3 | [i] | ||