Information on Result #1179354
Digital (36, 42, 19690)-net over F3, using net defined by OOA based on linear OOA(342, 19690, F3, 6, 6) (dual of [(19690, 6), 118098, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(342, 19690, F3, 5, 6) (dual of [(19690, 5), 98408, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(342, 59070, F3, 6) (dual of [59070, 59028, 7]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(341, 59049, F3, 7) (dual of [59049, 59008, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(321, 59049, F3, 4) (dual of [59049, 59028, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(31, 21, F3, 1) (dual of [21, 20, 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(6) ⊂ Ce(3) [i] based on
- OA 3-folding and stacking [i] based on linear OA(342, 59070, F3, 6) (dual of [59070, 59028, 7]-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 (37, 43, 19690)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (210, 222, 5612090)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (225, 238, 5612090)-net over F3 | [i] | ||