Information on Result #1838618
OOA(12845, 2097279, S128, 4, 12), using (u, u+v)-construction based on
- linear OOA(1286, 129, F128, 4, 6) (dual of [(129, 4), 510, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;510,128) [i]
- OOA(12839, 2097150, S128, 4, 12), using
- OOA 4-folding [i] based on OA(12839, 8388600, 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 4-folding [i] based on OA(12839, 8388600, S128, 12), 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(12864, 4194558, S128, 4, 12) | [i] | (u, u+v)-Construction for OOAs | |