Information on Result #1182898
Digital (33, 41, 1642)-net over F3, using net defined by OOA based on linear OOA(341, 1642, F3, 8, 8) (dual of [(1642, 8), 13095, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(341, 6568, F3, 8) (dual of [6568, 6527, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(341, 6569, F3, 8) (dual of [6569, 6528, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(341, 6561, F3, 8) (dual of [6561, 6520, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(333, 6561, F3, 7) (dual of [6561, 6528, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(30, 8, F3, 0) (dual of [8, 8, 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(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(341, 6569, F3, 8) (dual of [6569, 6528, 9]-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 (34, 42, 1642)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (176, 192, 1050217)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (190, 207, 1050217)-net over F3 | [i] | ||