Information on Result #993632
Linear OOA(25627, 21846, F256, 3, 14) (dual of [(21846, 3), 65511, 15]-NRT-code), using OOA 3-folding based on linear OA(25627, 65538, F256, 14) (dual of [65538, 65511, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(25627, 65536, F256, 14) (dual of [65536, 65509, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(25634, 22103, F256, 3, 14) (dual of [(22103, 3), 66275, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25635, 22104, F256, 3, 14) (dual of [(22104, 3), 66277, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(25636, 22105, F256, 3, 14) (dual of [(22105, 3), 66279, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(25637, 22360, F256, 3, 14) (dual of [(22360, 3), 67043, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(25638, 22361, F256, 3, 14) (dual of [(22361, 3), 67045, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(25639, 22362, F256, 3, 14) (dual of [(22362, 3), 67047, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(25639, 22617, F256, 3, 14) (dual of [(22617, 3), 67812, 15]-NRT-code) | [i] | ||