Information on Result #1567253
Linear OOA(25619, 4774851, F256, 3, 7) (dual of [(4774851, 3), 14324534, 8]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25619, 4774851, F256, 7) (dual of [4774851, 4774832, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
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(12822, 4774851, S128, 3, 7) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25619, 4774850, F256, 4, 7) (dual of [(4774850, 4), 19099381, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(25619, 4774850, F256, 5, 7) (dual of [(4774850, 5), 23874231, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(25619, 4774850, F256, 6, 7) (dual of [(4774850, 6), 28649081, 8]-NRT-code) | [i] | ||