Information on Result #1008978
Linear OOA(2100, 2796218, F2, 3, 8) (dual of [(2796218, 3), 8388554, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(28, 17, F2, 3, 4) (dual of [(17, 3), 43, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 8, 17)-net over F2, using
- linear OOA(292, 2796201, F2, 3, 8) (dual of [(2796201, 3), 8388511, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 3-folding [i] based on linear OA(292, large, F2, 8) (dual of [large, large−92, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2100, 2796218, F2, 4, 8) (dual of [(2796218, 4), 11184772, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2100, 2796218, F2, 5, 8) (dual of [(2796218, 5), 13980990, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(2100, 2796218, F2, 6, 8) (dual of [(2796218, 6), 16777208, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(2100, 2796218, F2, 7, 8) (dual of [(2796218, 7), 19573426, 9]-NRT-code) | [i] | ||