Information on Result #1821342
OA(12856, 65538, S128, 25), using discarding parts of the base based on linear OA(25649, 65538, F256, 25) (dual of [65538, 65489, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(25649, 65536, F256, 25) (dual of [65536, 65487, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(12857, 65539, S128, 25) | [i] | Code Embedding in Larger Space | |
| 2 | OA(12868, 65667, S128, 25) | [i] | (u, u+v)-Construction | |
| 3 | OA(12869, 65688, S128, 25) | [i] | ||
| 4 | OOA(12856, 32769, S128, 2, 25) | [i] | OOA Folding | |
| 5 | OOA(12856, 21846, S128, 3, 25) | [i] | ||
| 6 | OOA(12856, 16384, S128, 4, 25) | [i] | ||