Information on Result #1837884
OOA(12848, 2097151, S128, 4, 14), using OOA 2-folding based on OOA(12848, 4194302, S128, 2, 14), using
- 1 times NRT-code embedding in larger space [i] based on OOA(12846, 4194301, S128, 2, 14), using
- OOA 2-folding [i] based on OA(12846, 8388602, S128, 14), using
- discarding factors based on OA(12846, large, S128, 14), using
- discarding parts of the base [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding parts of the base [i] based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- discarding factors based on OA(12846, large, S128, 14), using
- OOA 2-folding [i] based on OA(12846, 8388602, S128, 14), 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(12848, 2097151, S128, 4, 13) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(12852, 2097152, S128, 4, 14) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | OOA(12849, 2097151, S128, 4, 14) | [i] | OOA Duplication | |
| 4 | OOA(12850, 2097151, S128, 4, 14) | [i] | ||
| 5 | OOA(12851, 2097151, S128, 4, 14) | [i] | ||
| 6 | OOA(12870, 4194302, S128, 4, 14) | [i] | (u, u+v)-Construction for OOAs | |