Information on Result #1567406
Linear OOA(25640, 4016501, F256, 3, 14) (dual of [(4016501, 3), 12049463, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25640, 4016501, F256, 2, 14) (dual of [(4016501, 2), 8032962, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25640, 4194301, F256, 2, 14) (dual of [(4194301, 2), 8388562, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25640, 8388602, F256, 14) (dual of [8388602, 8388562, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- OOA 2-folding [i] based on linear OA(25640, 8388602, F256, 14) (dual of [8388602, 8388562, 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 | OOA(12846, 4016501, S128, 3, 14) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25640, 2008250, F256, 5, 14) (dual of [(2008250, 5), 10041210, 15]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25640, 2008250, F256, 6, 14) (dual of [(2008250, 6), 12049460, 15]-NRT-code) | [i] | ||