Information on Result #1179566
Digital (15, 19, 265723)-net over F9, using net defined by OOA based on linear OOA(919, 265723, F9, 4, 4) (dual of [(265723, 4), 1062873, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(919, 265723, F9, 3, 4) (dual of [(265723, 3), 797150, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(919, 531446, F9, 4) (dual of [531446, 531427, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(919, 531447, F9, 4) (dual of [531447, 531428, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(2) [i] based on
- linear OA(919, 531441, F9, 4) (dual of [531441, 531422, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(913, 531441, F9, 3) (dual of [531441, 531428, 4]-code or 531441-cap in PG(12,9)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [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(3) ⊂ Ce(2) [i] based on
- discarding factors / shortening the dual code based on linear OA(919, 531447, F9, 4) (dual of [531447, 531428, 5]-code), using
- OA 2-folding and stacking [i] based on linear OA(919, 531446, F9, 4) (dual of [531446, 531427, 5]-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 (69, 77, 4460023)-net over F9 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (76, 85, 4460023)-net over F9 | [i] | ||