Information on Result #1753400
Digital (160, 172, 2798248)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2172, 2798248, F2, 3, 12) (dual of [(2798248, 3), 8394572, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(234, 2047, F2, 3, 6) (dual of [(2047, 3), 6107, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (28, 34, 2047)-net over F2, using
- 1 times m-reduction [i] based on digital (28, 35, 2047)-net over F2, using
- extracting embedded OOA [i] based on digital (28, 34, 2047)-net over F2, using
- linear OOA(2138, 2796201, F2, 3, 12) (dual of [(2796201, 3), 8388465, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- linear OOA(234, 2047, F2, 3, 6) (dual of [(2047, 3), 6107, 7]-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 (161, 173, 2798248)-net over F2 | [i] | Net Duplication | |