Information on Result #1118762
Linear OOA(25646, 1678234, F256, 5, 13) (dual of [(1678234, 5), 8391124, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2569, 514, F256, 5, 6) (dual of [(514, 5), 2561, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1282,256) [i]
- linear OOA(2566, 257, F256, 5, 6) (dual of [(257, 5), 1279, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1279,256) [i]
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25637, 1677720, F256, 5, 13) (dual of [(1677720, 5), 8388563, 14]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- OOA 5-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(25662, 3356468, F256, 5, 13) (dual of [(3356468, 5), 16782278, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |