Information on Result #1838029
OOA(12872, 2097151, S128, 4, 21), using OOA 2-folding based on OOA(12872, 4194302, S128, 2, 21), using
- 1 times NRT-code embedding in larger space [i] based on OOA(12870, 4194301, S128, 2, 21), using
- OOA 2-folding [i] based on OA(12870, 8388602, S128, 21), using
- discarding factors based on OA(12870, large, S128, 21), using
- discarding parts of the base [i] based on linear OA(25661, large, F256, 21) (dual of [large, large−61, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding parts of the base [i] based on linear OA(25661, large, F256, 21) (dual of [large, large−61, 22]-code), using
- discarding factors based on OA(12870, large, S128, 21), using
- OOA 2-folding [i] based on OA(12870, 8388602, S128, 21), 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(12872, 2097151, S128, 4, 20) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(12876, 2097152, S128, 4, 21) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | OOA(12873, 2097151, S128, 4, 21) | [i] | OOA Duplication | |
| 4 | OOA(12874, 2097151, S128, 4, 21) | [i] | ||
| 5 | OOA(12875, 2097151, S128, 4, 21) | [i] | ||