Information on Result #1191792
Digital (71, 85, 299594)-net over F8, using net defined by OOA based on linear OOA(885, 299594, F8, 14, 14) (dual of [(299594, 14), 4194231, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(885, 2097158, F8, 14) (dual of [2097158, 2097073, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(885, 2097159, F8, 14) (dual of [2097159, 2097074, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 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(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(885, 2097159, F8, 14) (dual of [2097159, 2097074, 15]-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 (78, 92, 299603)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (79, 93, 299608)-net over F8 | [i] | ||
| 3 | Digital (80, 94, 299611)-net over F8 | [i] | ||
| 4 | Digital (81, 95, 299618)-net over F8 | [i] | ||
| 5 | Digital (82, 96, 299619)-net over F8 | [i] | ||