Information on Result #1839131
OOA(12870, 2097664, S128, 4, 17), using discarding parts of the base based on linear OOA(25661, 2097664, F256, 4, 17) (dual of [(2097664, 4), 8390595, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25612, 514, F256, 4, 8) (dual of [(514, 4), 2044, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1024,256) [i]
- linear OOA(2568, 257, F256, 4, 8) (dual of [(257, 4), 1020, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1020,256) [i]
- linear OOA(2564, 257, F256, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25649, 2097150, F256, 4, 17) (dual of [(2097150, 4), 8388551, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- OOA 4-folding [i] based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-code), using
- linear OOA(25612, 514, F256, 4, 8) (dual of [(514, 4), 2044, 9]-NRT-code), using
Mode: Constructive.
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 | OOA(12870, 1048831, S128, 20, 17) | [i] | OOA Folding and Stacking with Additional Row | |