Information on Result #1179332
Digital (24, 30, 734)-net over F3, using net defined by OOA based on linear OOA(330, 734, F3, 6, 6) (dual of [(734, 6), 4374, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(330, 734, F3, 5, 6) (dual of [(734, 5), 3640, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(330, 2202, F3, 6) (dual of [2202, 2172, 7]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(329, 2187, F3, 7) (dual of [2187, 2158, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(315, 2187, F3, 4) (dual of [2187, 2172, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(31, 15, F3, 1) (dual of [15, 14, 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(330, 2202, F3, 6) (dual of [2202, 2172, 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 (25, 31, 734)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (198, 210, 5593134)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (138, 151, 1398834)-net over F3 | [i] | ||
| 4 | Digital (213, 226, 5593134)-net over F3 | [i] | ||