Information on Result #1020037
Linear OOA(25631, 22103, F256, 3, 13) (dual of [(22103, 3), 66278, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2566, 257, F256, 3, 6) (dual of [(257, 3), 765, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;765,256) [i]
- linear OOA(25625, 21846, F256, 3, 13) (dual of [(21846, 3), 65513, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25625, 65538, F256, 13) (dual of [65538, 65513, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- 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(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 3-folding [i] based on linear OA(25625, 65538, F256, 13) (dual of [65538, 65513, 14]-code), 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(25668, 5658368, F256, 3, 13) (dual of [(5658368, 3), 16975036, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25631, 11051, F256, 6, 13) (dual of [(11051, 6), 66275, 14]-NRT-code) | [i] | OOA Folding | |