Information on Result #1183974
Digital (95, 109, 75921)-net over F3, using net defined by OOA based on linear OOA(3109, 75921, F3, 14, 14) (dual of [(75921, 14), 1062785, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(3109, 531447, F3, 14) (dual of [531447, 531338, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3109, 531453, F3, 14) (dual of [531453, 531344, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(3109, 531441, F3, 14) (dual of [531441, 531332, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(397, 531441, F3, 13) (dual of [531441, 531344, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 12, F3, 0) (dual of [12, 12, 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(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3109, 531453, F3, 14) (dual of [531453, 531344, 15]-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 (103, 117, 75928)-net over F3 | [i] | (u, u+v)-Construction for Nets | |