Information on Result #1085191
Linear OOA(25660, 2097921, F256, 4, 16) (dual of [(2097921, 4), 8391624, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25614, 771, F256, 4, 8) (dual of [(771, 4), 3070, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1026,256) [i]
- 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(2562, 257, F256, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(25646, 2097150, F256, 4, 16) (dual of [(2097150, 4), 8388554, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25646, 8388600, F256, 16) (dual of [8388600, 8388554, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- OOA 4-folding [i] based on linear OA(25646, 8388600, F256, 16) (dual of [8388600, 8388554, 17]-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(25660, 1048960, F256, 20, 16) (dual of [(1048960, 20), 20979140, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |