Information on Result #1184800
Digital (124, 144, 17715)-net over F3, using net defined by OOA based on linear OOA(3144, 17715, F3, 20, 20) (dual of [(17715, 20), 354156, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(3144, 177150, F3, 20) (dual of [177150, 177006, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3144, 177158, F3, 20) (dual of [177158, 177014, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3133, 177147, F3, 19) (dual of [177147, 177014, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(30, 11, F3, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(3144, 177158, F3, 20) (dual of [177158, 177014, 21]-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 (125, 145, 17715)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (135, 155, 17722)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (136, 156, 17723)-net over F3 | [i] | ||