Information on Result #1215011
Digital (24, 30, 10989)-net over F8, using (u, u+v)-construction based on
- digital (1, 4, 65)-net over F8, using
- net defined by OOA [i] based on linear OOA(84, 65, F8, 3, 3) (dual of [(65, 3), 191, 4]-NRT-code), using
- digital (20, 26, 10924)-net over F8, using
- net defined by OOA [i] based on linear OOA(826, 10924, F8, 6, 6) (dual of [(10924, 6), 65518, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(826, 32772, F8, 6) (dual of [32772, 32746, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(826, 32773, F8, 6) (dual of [32773, 32747, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(821, 32768, F8, 5) (dual of [32768, 32747, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(826, 32773, F8, 6) (dual of [32773, 32747, 7]-code), using
- OA 3-folding and stacking [i] based on linear OA(826, 32772, F8, 6) (dual of [32772, 32746, 7]-code), using
- net defined by OOA [i] based on linear OOA(826, 10924, F8, 6, 6) (dual of [(10924, 6), 65518, 7]-NRT-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 (108, 120, 2807189)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (115, 128, 2807189)-net over F8 | [i] | ||