Information on Result #1083792
Linear OOA(25643, 2097664, F256, 4, 12) (dual of [(2097664, 4), 8390613, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2569, 514, F256, 4, 6) (dual of [(514, 4), 2047, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 4, 3) (dual of [(257, 4), 1025, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1025,256) [i]
- linear OOA(2566, 257, F256, 4, 6) (dual of [(257, 4), 1022, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1022,256) [i]
- linear OOA(2563, 257, F256, 4, 3) (dual of [(257, 4), 1025, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25634, 2097150, F256, 4, 12) (dual of [(2097150, 4), 8388566, 13]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25634, 8388600, F256, 12) (dual of [8388600, 8388566, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- OOA 4-folding [i] based on linear OA(25634, 8388600, F256, 12) (dual of [8388600, 8388566, 13]-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(25659, 4195328, F256, 4, 12) (dual of [(4195328, 4), 16781253, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |