Information on Result #1178955
Digital (20, 25, 3284)-net over F3, using net defined by OOA based on linear OOA(325, 3284, F3, 5, 5) (dual of [(3284, 5), 16395, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(325, 6569, F3, 5) (dual of [6569, 6544, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(325, 6561, F3, 5) (dual of [6561, 6536, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(317, 6561, F3, 4) (dual of [6561, 6544, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(4) ⊂ Ce(3) [i] based on
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 (163, 173, 6714164)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (178, 189, 6714164)-net over F3 | [i] | ||