Information on Result #1192514
Digital (67, 90, 745)-net over F8, using net defined by OOA based on linear OOA(890, 745, F8, 23, 23) (dual of [(745, 23), 17045, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(890, 8196, F8, 23) (dual of [8196, 8106, 24]-code), using
- trace code [i] based on linear OA(6445, 4098, F64, 23) (dual of [4098, 4053, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- trace code [i] based on linear OA(6445, 4098, F64, 23) (dual of [4098, 4053, 24]-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 (68, 91, 745)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (69, 92, 745)-net over F8 | [i] | ||
| 3 | Digital (70, 93, 745)-net over F8 | [i] | ||
| 4 | Digital (67, 89, 745)-net over F8 | [i] | m-Reduction | |