Information on Result #1179374
Digital (48, 54, 531450)-net over F3, using net defined by OOA based on linear OOA(354, 531450, F3, 6, 6) (dual of [(531450, 6), 3188646, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(354, 531450, F3, 5, 6) (dual of [(531450, 5), 2657196, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(354, 1594350, F3, 6) (dual of [1594350, 1594296, 7]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(353, 1594323, F3, 7) (dual of [1594323, 1594270, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(327, 1594323, F3, 4) (dual of [1594323, 1594296, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(31, 27, F3, 1) (dual of [27, 26, 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(354, 1594350, F3, 6) (dual of [1594350, 1594296, 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 (49, 55, 531450)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (162, 175, 1929550)-net over F3 | [i] | (u, u+v)-Construction for Nets | |