Information on Result #1184178
Digital (89, 105, 7384)-net over F3, using net defined by OOA based on linear OOA(3105, 7384, F3, 16, 16) (dual of [(7384, 16), 118039, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(3105, 59072, F3, 16) (dual of [59072, 58967, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3105, 59073, F3, 16) (dual of [59073, 58968, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(381, 59049, F3, 13) (dual of [59049, 58968, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(34, 24, F3, 2) (dual of [24, 20, 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(15) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3105, 59073, F3, 16) (dual of [59073, 58968, 17]-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 (90, 106, 7384)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (91, 107, 7384)-net over F3 | [i] | ||
| 3 | Digital (92, 108, 7384)-net over F3 | [i] | ||