Information on Result #1185606
Digital (183, 215, 3692)-net over F3, using net defined by OOA based on linear OOA(3215, 3692, F3, 32, 32) (dual of [(3692, 32), 117929, 33]-NRT-code), using
- OA 16-folding and stacking [i] based on linear OA(3215, 59072, F3, 32) (dual of [59072, 58857, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3215, 59073, F3, 32) (dual of [59073, 58858, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(28) [i] based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(31) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(3215, 59073, F3, 32) (dual of [59073, 58858, 33]-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 (184, 216, 3692)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (185, 217, 3692)-net over F3 | [i] | ||
| 3 | Digital (186, 218, 3692)-net over F3 | [i] | ||
| 4 | Digital (187, 219, 3692)-net over F3 | [i] | ||