Information on Result #993868
Linear OOA(25649, 21846, F256, 3, 25) (dual of [(21846, 3), 65489, 26]-NRT-code), using OOA 3-folding 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 and linear.
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 | Linear OOA(25661, 22103, F256, 3, 25) (dual of [(22103, 3), 66248, 26]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25662, 22104, F256, 3, 25) (dual of [(22104, 3), 66250, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(25663, 22105, F256, 3, 25) (dual of [(22105, 3), 66252, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(25664, 22106, F256, 3, 25) (dual of [(22106, 3), 66254, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(25665, 22107, F256, 3, 25) (dual of [(22107, 3), 66256, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(25666, 22108, F256, 3, 25) (dual of [(22108, 3), 66258, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(25667, 22360, F256, 3, 25) (dual of [(22360, 3), 67013, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(25668, 22361, F256, 3, 25) (dual of [(22361, 3), 67015, 26]-NRT-code) | [i] | ||