Information on Result #1837857
OOA(12858, 4194301, S128, 4, 12), using OOA 2-folding based on OOA(12858, 8388602, S128, 2, 12), using
- (u, u+v)-construction [i] based on
- OOA(12819, 4194301, S128, 2, 6), using
- OOA 2-folding [i] based on OA(12819, 8388602, S128, 6), using
- discarding factors based on OA(12819, large, S128, 6), using
- discarding parts of the base [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding parts of the base [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- discarding factors based on OA(12819, large, S128, 6), using
- OOA 2-folding [i] based on OA(12819, 8388602, S128, 6), using
- OOA(12839, 4194301, S128, 2, 12), using
- OOA 2-folding [i] based on OA(12839, 8388602, S128, 12), using
- discarding factors based on OA(12839, large, S128, 12), using
- discarding parts of the base [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding parts of the base [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- discarding factors based on OA(12839, large, S128, 12), using
- OOA 2-folding [i] based on OA(12839, 8388602, S128, 12), using
- OOA(12819, 4194301, S128, 2, 6), 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(12859, 4194301, S128, 4, 12) | [i] | OOA Duplication | |
| 2 | OOA(12877, 6990502, S128, 4, 12) | [i] | (u, u+v)-Construction for OOAs | |