Information on Result #1821336
OA(12856, large, S128, 17), using discarding parts of the base based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(12856, large, S128, 16) | [i] | Strength Reduction | |
| 2 | OA(12856, large, S128, 15) | [i] | ||
| 3 | OA(12857, large, S128, 17) | [i] | Code Embedding in Larger Space | |
| 4 | OA(12858, large, S128, 17) | [i] | ||
| 5 | OA(12859, large, S128, 17) | [i] | ||
| 6 | OA(12861, large, S128, 17) | [i] | ||
| 7 | OA(12862, large, S128, 17) | [i] | ||
| 8 | OA(12864, large, S128, 17) | [i] | ||
| 9 | OOA(12856, 4194301, S128, 2, 17) | [i] | OOA Folding | |
| 10 | OOA(12856, 2796201, S128, 3, 17) | [i] | ||
| 11 | OOA(12856, 2097150, S128, 4, 17) | [i] | ||