Information on Result #1567438
Linear OOA(25643, 5567506, F256, 3, 14) (dual of [(5567506, 3), 16702475, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25643, 5567506, F256, 14) (dual of [5567506, 5567463, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 14) (dual of [large, large−43, 15]-code), using
- strength reduction [i] based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- strength reduction [i] based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-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(25643, 2783753, F256, 5, 14) (dual of [(2783753, 5), 13918722, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25643, 2783753, F256, 6, 14) (dual of [(2783753, 6), 16702475, 15]-NRT-code) | [i] | ||