Information on Result #1193542
Digital (49, 61, 88574)-net over F9, using net defined by OOA based on linear OOA(961, 88574, F9, 12, 12) (dual of [(88574, 12), 1062827, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(961, 531444, F9, 12) (dual of [531444, 531383, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(961, 531447, F9, 12) (dual of [531447, 531386, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(955, 531441, F9, 11) (dual of [531441, 531386, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(90, 6, F9, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(961, 531447, F9, 12) (dual of [531447, 531386, 13]-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 (55, 67, 88584)-net over F9 | [i] | (u, u+v)-Construction for Nets | |