Information on Result #1185914
Digital (42, 50, 16388)-net over F4, using net defined by OOA based on linear OOA(450, 16388, F4, 8, 8) (dual of [(16388, 8), 131054, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(450, 65552, F4, 8) (dual of [65552, 65502, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(450, 65553, F4, 8) (dual of [65553, 65503, 9]-code), using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- linear OA(449, 65536, F4, 9) (dual of [65536, 65487, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(433, 65536, F4, 6) (dual of [65536, 65503, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(41, 17, F4, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(450, 65553, F4, 8) (dual of [65553, 65503, 9]-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 (218, 234, 4210688)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (229, 246, 4210688)-net over F4 | [i] | ||