Information on Result #1567378
Linear OOA(25637, 8300415, F256, 3, 12) (dual of [(8300415, 3), 24901208, 13]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25637, 8300415, F256, 12) (dual of [8300415, 8300378, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 12) (dual of [large, large−37, 13]-code), using
- strength reduction [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- strength reduction [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-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(12843, 8300415, S128, 3, 12) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25637, 4150207, F256, 5, 12) (dual of [(4150207, 5), 20750998, 13]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25637, 4150207, F256, 6, 12) (dual of [(4150207, 6), 24901205, 13]-NRT-code) | [i] | ||