Information on Result #1023025
Linear OOA(25641, 22617, F256, 3, 15) (dual of [(22617, 3), 67810, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25612, 771, F256, 3, 7) (dual of [(771, 3), 2301, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;769,256) [i]
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;768,256) [i]
- linear OOA(2567, 257, F256, 3, 7) (dual of [(257, 3), 764, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;764,256) [i]
- linear OOA(2562, 257, F256, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(25629, 21846, F256, 3, 15) (dual of [(21846, 3), 65509, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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(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(14) ⊂ Ce(13) [i] based on
- OOA 3-folding [i] based on linear OA(25629, 65538, F256, 15) (dual of [65538, 65509, 16]-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(25641, 11308, F256, 6, 15) (dual of [(11308, 6), 67807, 16]-NRT-code) | [i] | OOA Folding | |