Information on Result #1836876
OOA(12823, 2812586, S128, 3, 6), using (u, u+v)-construction based on
- linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using
- OOA(12819, 2796201, S128, 3, 6), using
- OOA 3-folding [i] 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
- OOA 3-folding [i] based on OA(12819, large, S128, 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(12869, 5592916, S128, 3, 12) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | OOA(12870, 5592918, S128, 3, 12) | [i] | ||
| 3 | OOA(12873, 5603326, S128, 3, 12) | [i] | ||
| 4 | OOA(12875, 5630633, S128, 3, 12) | [i] | ||
| 5 | OOA(12873, 5592916, S128, 3, 13) | [i] | ||
| 6 | OOA(12874, 5592918, S128, 3, 13) | [i] | ||
| 7 | OOA(12877, 5603326, S128, 3, 13) | [i] | ||