Information on Result #1615328
Linear OOA(25626, 5287316, F256, 4, 9) (dual of [(5287316, 4), 21149238, 10]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25626, 5287316, F256, 9) (dual of [5287316, 5287290, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(25626, large, F256, 9) (dual of [large, large−26, 10]-code), using
- 1 times code embedding in larger space [i] based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 1 times code embedding in larger space [i] based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-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(12830, 5287316, S128, 4, 9) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25626, 5287315, F256, 5, 9) (dual of [(5287315, 5), 26436549, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(25626, 5287315, F256, 6, 9) (dual of [(5287315, 6), 31723864, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(25626, 5287315, F256, 12, 9) (dual of [(5287315, 12), 63447754, 10]-NRT-code) | [i] | ||