Information on Result #1189490
Digital (110, 134, 6511)-net over F5, using net defined by OOA based on linear OOA(5134, 6511, F5, 24, 24) (dual of [(6511, 24), 156130, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(5134, 78132, F5, 24) (dual of [78132, 77998, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(5127, 78125, F5, 23) (dual of [78125, 77998, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(50, 7, F5, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [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 (111, 135, 6511)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (112, 136, 6511)-net over F5 | [i] | ||
| 3 | Digital (122, 146, 6517)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (123, 147, 6521)-net over F5 | [i] | ||
| 5 | Digital (124, 148, 6523)-net over F5 | [i] | ||
| 6 | Digital (125, 149, 6527)-net over F5 | [i] | ||
| 7 | Digital (126, 150, 6529)-net over F5 | [i] | ||