Information on Result #1186104
Digital (68, 78, 838863)-net over F4, using net defined by OOA based on linear OOA(478, 838863, F4, 10, 10) (dual of [(838863, 10), 8388552, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(478, 4194315, F4, 10) (dual of [4194315, 4194237, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(478, 4194304, F4, 10) (dual of [4194304, 4194226, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(467, 4194304, F4, 9) (dual of [4194304, 4194237, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(40, 11, F4, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
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, 79, 838863)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (70, 80, 838863)-net over F4 | [i] | ||
| 3 | Digital (74, 84, 838872)-net over F4 | [i] | (u, u+v)-Construction for Nets | |