Information on Result #1193430
Digital (44, 55, 106289)-net over F9, using net defined by OOA based on linear OOA(955, 106289, F9, 11, 11) (dual of [(106289, 11), 1169124, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(955, 531446, F9, 11) (dual of [531446, 531391, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(955, 531447, F9, 11) (dual of [531447, 531392, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- 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(949, 531441, F9, 10) (dual of [531441, 531392, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(955, 531447, F9, 11) (dual of [531447, 531392, 12]-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 (45, 56, 106289)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (49, 60, 106299)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (50, 61, 106305)-net over F9 | [i] | ||