Information on Result #1185906
Digital (38, 46, 4101)-net over F4, using net defined by OOA based on linear OOA(446, 4101, F4, 8, 8) (dual of [(4101, 8), 32762, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(446, 16404, F4, 8) (dual of [16404, 16358, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(446, 16405, F4, 8) (dual of [16405, 16359, 9]-code), using
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(422, 16384, F4, 5) (dual of [16384, 16362, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(8) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(446, 16405, F4, 8) (dual of [16405, 16359, 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 (214, 230, 4198401)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (225, 242, 4198401)-net over F4 | [i] | ||