Information on Result #1145295
Linear OOA(25667, 11437, F256, 6, 25) (dual of [(11437, 6), 68555, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25618, 514, F256, 6, 12) (dual of [(514, 6), 3066, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2566, 257, F256, 6, 6) (dual of [(257, 6), 1536, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1536,256) [i]
- linear OOA(25612, 257, F256, 6, 12) (dual of [(257, 6), 1530, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1530,256) [i]
- linear OOA(2566, 257, F256, 6, 6) (dual of [(257, 6), 1536, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25649, 10923, F256, 6, 25) (dual of [(10923, 6), 65489, 26]-NRT-code), using
- OOA 6-folding [i] based on linear OA(25649, 65538, F256, 25) (dual of [65538, 65489, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(25649, 65536, F256, 25) (dual of [65536, 65487, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(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(24) ⊂ Ce(23) [i] based on
- OOA 6-folding [i] based on linear OA(25649, 65538, F256, 25) (dual of [65538, 65489, 26]-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(25667, 5718, F256, 30, 25) (dual of [(5718, 30), 171473, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |