Information on Result #1837953
OOA(12856, 2097150, S128, 4, 17), using OOA 4-folding based on OA(12856, 8388600, S128, 17), using
- discarding factors based on OA(12856, large, S128, 17), using
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding parts of the base [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
Mode: Constructive.
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(12857, 2097150, S128, 4, 17) | [i] | OOA Duplication | |
| 2 | OOA(12864, 2097279, S128, 4, 17) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | OOA(12865, 2097300, S128, 4, 17) | [i] | ||
| 4 | OOA(12866, 2097407, S128, 4, 17) | [i] | ||
| 5 | OOA(12867, 2097408, S128, 4, 17) | [i] | ||
| 6 | OOA(12868, 2097409, S128, 4, 17) | [i] | ||
| 7 | OOA(12869, 2097429, S128, 4, 17) | [i] | ||
| 8 | OOA(12870, 2097537, S128, 4, 17) | [i] | ||
| 9 | OOA(12876, 2113662, S128, 4, 17) | [i] | ||
| 10 | OOA(12877, 2113683, S128, 4, 17) | [i] | ||