Information on Result #1020313
Linear OOA(25665, 22360, F256, 3, 24) (dual of [(22360, 3), 67015, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25618, 514, F256, 3, 12) (dual of [(514, 3), 1524, 13]-NRT-code), using
- (u, u+v)-construction [i] 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(25612, 257, F256, 3, 12) (dual of [(257, 3), 759, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;759,256) [i]
- linear OOA(2566, 257, F256, 3, 6) (dual of [(257, 3), 765, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25647, 21846, F256, 3, 24) (dual of [(21846, 3), 65491, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25647, 65538, F256, 24) (dual of [65538, 65491, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- 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(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(23) ⊂ Ce(22) [i] based on
- OOA 3-folding [i] based on linear OA(25647, 65538, F256, 24) (dual of [65538, 65491, 25]-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(25665, 11180, F256, 6, 24) (dual of [(11180, 6), 67015, 25]-NRT-code) | [i] | OOA Folding | |