Information on Result #993540
Linear OOA(25612, 21847, F256, 3, 6) (dual of [(21847, 3), 65529, 7]-NRT-code), using OOA 3-folding based on linear OA(25612, 65541, F256, 6) (dual of [65541, 65529, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(25611, 65536, F256, 6) (dual of [65536, 65525, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2567, 65536, F256, 4) (dual of [65536, 65529, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-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(25646, 2818048, F256, 3, 12) (dual of [(2818048, 3), 8454098, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25649, 2818048, F256, 3, 13) (dual of [(2818048, 3), 8454095, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(25661, 5592832, F256, 3, 13) (dual of [(5592832, 3), 16778435, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(25658, 5592832, F256, 3, 12) (dual of [(5592832, 3), 16778438, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(25622, 5592832, F256, 3, 6) (dual of [(5592832, 3), 16778474, 7]-NRT-code) | [i] | ||