Information on Result #1828863
OOA(12863, 4194301, S128, 2, 19), using OOA 2-folding based on OA(12863, 8388602, S128, 19), using
- discarding factors based on OA(12863, large, S128, 19), using
- discarding parts of the base [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding parts of the base [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-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(12865, 4194302, S128, 2, 19) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(12867, 4194303, S128, 2, 19) | [i] | ||
| 3 | OOA(12869, 4194304, S128, 2, 19) | [i] | ||
| 4 | OOA(12871, 4194305, S128, 2, 19) | [i] | ||
| 5 | OOA(12864, 4194301, S128, 2, 19) | [i] | OOA Duplication | |
| 6 | OOA(12872, 4194430, S128, 2, 19) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | OOA(12873, 4194451, S128, 2, 19) | [i] | ||
| 8 | OOA(12874, 4194558, S128, 2, 19) | [i] | ||
| 9 | OOA(12875, 4194559, S128, 2, 19) | [i] | ||
| 10 | OOA(12876, 4194560, S128, 2, 19) | [i] | ||
| 11 | OOA(12877, 4194580, S128, 2, 19) | [i] | ||
| 12 | OOA(12878, 4194687, S128, 2, 19) | [i] | ||