Information on Result #1836935
OOA(12846, 2828970, S128, 3, 11), using (u, u+v)-construction based on
- OOA(12810, 32769, S128, 3, 5), using
- (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;385,128) [i]
- OOA(1288, 32640, S128, 3, 5), using
- OOA 2-folding and stacking with additional row [i] based on OA(1288, 65281, S128, 5), using
- discarding parts of the base [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on OA(1288, 65281, S128, 5), using
- linear OOA(1282, 129, F128, 3, 2) (dual of [(129, 3), 385, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA(12836, 2796201, S128, 3, 11), using
- OOA 3-folding [i] based on OA(12836, large, S128, 11), using
- discarding parts of the base [i] based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding parts of the base [i] based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- OOA 3-folding [i] based on OA(12836, large, S128, 11), 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(12861, 5657940, S128, 3, 11) | [i] | (u, u+v)-Construction for OOAs | |