Information on Result #1821187
OA(12840, 65538, S128, 18), using discarding parts of the base based on linear OA(25635, 65538, F256, 18) (dual of [65538, 65503, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(12841, 65539, S128, 18) | [i] | Code Embedding in Larger Space | |
| 2 | OA(12849, 65667, S128, 18) | [i] | (u, u+v)-Construction | |
| 3 | OA(12850, 65688, S128, 18) | [i] | ||
| 4 | OOA(12840, 32769, S128, 2, 18) | [i] | OOA Folding | |
| 5 | OOA(12840, 21846, S128, 3, 18) | [i] | ||
| 6 | OOA(12840, 16384, S128, 4, 18) | [i] | ||