Information on Result #1183810
Digital (80, 93, 29528)-net over F3, using net defined by OOA based on linear OOA(393, 29528, F3, 13, 13) (dual of [(29528, 13), 383771, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(393, 177169, F3, 13) (dual of [177169, 177076, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(393, 177173, F3, 13) (dual of [177173, 177080, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(389, 177147, F3, 13) (dual of [177147, 177058, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(393, 177173, F3, 13) (dual of [177173, 177080, 14]-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 (81, 94, 29528)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (80, 92, 29528)-net over F3 | [i] | m-Reduction | |