Information on Result #1755431
Digital (188, 202, 2804392)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2202, 2804392, F2, 3, 14) (dual of [(2804392, 3), 8412974, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(241, 8191, F2, 3, 7) (dual of [(8191, 3), 24532, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (34, 41, 8191)-net over F2, using
- linear OOA(2161, 2796201, F2, 3, 14) (dual of [(2796201, 3), 8388442, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- linear OOA(241, 8191, F2, 3, 7) (dual of [(8191, 3), 24532, 8]-NRT-code), using
Mode: 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 (189, 203, 2804392)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (190, 204, 2804392)-net over F2 | [i] | ||