Information on Result #1836987
OOA(12849, 2796330, S128, 3, 13), using (u, u+v)-construction based on
- linear OOA(1286, 129, F128, 3, 6) (dual of [(129, 3), 381, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;381,128) [i]
- OOA(12843, 2796201, S128, 3, 13), using
- OOA 3-folding [i] based on OA(12843, large, S128, 13), using
- discarding parts of the base [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding parts of the base [i] based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- OOA 3-folding [i] based on OA(12843, large, S128, 13), 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(12868, 5592531, S128, 3, 13) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(12871, 5592660, S128, 3, 13) | [i] | ||
| 3 | OOA(12849, 1398164, S128, 15, 13) | [i] | OOA Folding and Stacking with Additional Row | |