Information on Result #1685465
Linear OOA(2205, 2812584, F2, 7, 14) (dual of [(2812584, 7), 19687883, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2205, 2812584, F2, 3, 14) (dual of [(2812584, 3), 8437547, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(244, 16383, F2, 3, 7) (dual of [(16383, 3), 49105, 8]-NRT-code), 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
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(2206, 2812584, F2, 7, 14) (dual of [(2812584, 7), 19687882, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2207, 2812584, F2, 7, 14) (dual of [(2812584, 7), 19687881, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2205, 2812583, F2, 8, 14) (dual of [(2812583, 8), 22500459, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(2205, 2812583, F2, 21, 14) (dual of [(2812583, 21), 59064038, 15]-NRT-code) | [i] | ||