Information on Result #1684821
Linear OOA(2196, 2798248, F2, 7, 14) (dual of [(2798248, 7), 19587540, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2196, 2798248, F2, 3, 14) (dual of [(2798248, 3), 8394548, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(235, 2047, F2, 3, 7) (dual of [(2047, 3), 6106, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (28, 35, 2047)-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(235, 2047, F2, 3, 7) (dual of [(2047, 3), 6106, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2197, 2798248, F2, 7, 14) (dual of [(2798248, 7), 19587539, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2198, 2798248, F2, 7, 14) (dual of [(2798248, 7), 19587538, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2196, 2798247, F2, 8, 14) (dual of [(2798247, 8), 22385780, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(2196, 2798247, F2, 21, 14) (dual of [(2798247, 21), 58762991, 15]-NRT-code) | [i] | ||