Information on Result #1185194
Digital (186, 210, 132862)-net over F3, using net defined by OOA based on linear OOA(3210, 132862, F3, 24, 24) (dual of [(132862, 24), 3188478, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(3210, 1594344, F3, 24) (dual of [1594344, 1594134, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, 1594350, F3, 24) (dual of [1594350, 1594140, 25]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(31, 27, F3, 1) (dual of [27, 26, 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(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(3210, 1594350, F3, 24) (dual of [1594350, 1594140, 25]-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 (187, 211, 132862)-net over F3 | [i] | Net Duplication | |