Information on Result #1821438
OA(12867, large, S128, 20), using discarding parts of the base based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
Mode: Constructive.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(12867, large, S128, 19) | [i] | Strength Reduction | |
| 2 | OA(12867, large, S128, 18) | [i] | ||
| 3 | OA(12868, large, S128, 20) | [i] | Code Embedding in Larger Space | |
| 4 | OA(12869, large, S128, 20) | [i] | ||
| 5 | OA(12871, large, S128, 20) | [i] | ||
| 6 | OA(12872, large, S128, 20) | [i] | ||
| 7 | OA(12873, large, S128, 20) | [i] | ||
| 8 | OA(12875, large, S128, 20) | [i] | ||
| 9 | OA(12876, large, S128, 20) | [i] | ||
| 10 | OOA(12867, 4194301, S128, 2, 20) | [i] | OOA Folding | |
| 11 | OOA(12867, 2796201, S128, 3, 20) | [i] | ||
| 12 | OOA(12867, 2097150, S128, 4, 20) | [i] | ||
| 13 | OOA(12867, 838860, S128, 20, 20) | [i] | OA Folding and Stacking | |