Information on Result #1837997
OOA(12865, 2097151, S128, 4, 19), using OOA 2-folding based on OOA(12865, 4194302, S128, 2, 19), using
- 1 times NRT-code embedding in larger space [i] based on OOA(12863, 4194301, S128, 2, 19), using
- OOA 2-folding [i] 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
- discarding factors based on OA(12863, large, S128, 19), using
- OOA 2-folding [i] based on OA(12863, 8388602, S128, 19), 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, 2097151, S128, 4, 18) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(12869, 2097152, S128, 4, 19) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | OOA(12866, 2097151, S128, 4, 19) | [i] | OOA Duplication | |
| 4 | OOA(12867, 2097151, S128, 4, 19) | [i] | ||
| 5 | OOA(12868, 2097151, S128, 4, 19) | [i] | ||