Information on Result #1838564
OOA(12833, 2097279, S128, 4, 9), using (u, u+v)-construction based on
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;512,128) [i]
- OOA(12829, 2097150, S128, 4, 9), using
- OOA 4-folding [i] based on OA(12829, 8388600, S128, 9), using
- discarding factors based on OA(12829, large, S128, 9), using
- discarding parts of the base [i] based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding parts of the base [i] based on linear OA(25625, large, F256, 9) (dual of [large, large−25, 10]-code), using
- discarding factors based on OA(12829, large, S128, 9), using
- OOA 4-folding [i] based on OA(12829, 8388600, S128, 9), 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(12845, 4194558, S128, 4, 9) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(12833, 2097278, S128, 12, 9) | [i] | OOA Stacking with Additional Row | |