Information on Result #993792
Linear OOA(25643, 21846, F256, 3, 22) (dual of [(21846, 3), 65495, 23]-NRT-code), using OOA 3-folding based on linear OA(25643, 65538, F256, 22) (dual of [65538, 65495, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(25654, 22103, F256, 3, 22) (dual of [(22103, 3), 66255, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25655, 22104, F256, 3, 22) (dual of [(22104, 3), 66257, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(25656, 22105, F256, 3, 22) (dual of [(22105, 3), 66259, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(25657, 22106, F256, 3, 22) (dual of [(22106, 3), 66261, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(25658, 22107, F256, 3, 22) (dual of [(22107, 3), 66263, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(25659, 22360, F256, 3, 22) (dual of [(22360, 3), 67021, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(25660, 22361, F256, 3, 22) (dual of [(22361, 3), 67023, 23]-NRT-code) | [i] | ||
| 8 | Linear OOA(25661, 22362, F256, 3, 22) (dual of [(22362, 3), 67025, 23]-NRT-code) | [i] | ||
| 9 | Linear OOA(25662, 22363, F256, 3, 22) (dual of [(22363, 3), 67027, 23]-NRT-code) | [i] | ||
| 10 | Linear OOA(25663, 22364, F256, 3, 22) (dual of [(22364, 3), 67029, 23]-NRT-code) | [i] | ||
| 11 | Linear OOA(25662, 22617, F256, 3, 22) (dual of [(22617, 3), 67789, 23]-NRT-code) | [i] | ||
| 12 | Linear OOA(25663, 22618, F256, 3, 22) (dual of [(22618, 3), 67791, 23]-NRT-code) | [i] | ||