Information on Result #1821473
OA(12870, large, S128, 21), using discarding parts of the base based on linear OA(25661, large, F256, 21) (dual of [large, large−61, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [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(12870, large, S128, 20) | [i] | Strength Reduction | |
| 2 | OA(12870, large, S128, 19) | [i] | ||
| 3 | OA(12871, large, S128, 21) | [i] | Code Embedding in Larger Space | |
| 4 | OA(12872, large, S128, 21) | [i] | ||
| 5 | OA(12873, large, S128, 21) | [i] | ||
| 6 | OA(12875, large, S128, 21) | [i] | ||
| 7 | OA(12876, large, S128, 21) | [i] | ||
| 8 | OA(12878, large, S128, 21) | [i] | ||
| 9 | OOA(12870, 4194301, S128, 2, 21) | [i] | OOA Folding | |
| 10 | OOA(12870, 2796201, S128, 3, 21) | [i] | ||
| 11 | OOA(12870, 2097150, S128, 4, 21) | [i] | ||
| 12 | OOA(12870, 838860, S128, 21, 21) | [i] | OOA Folding and Stacking with Additional Row | |