Information on Result #907314
Linear OOA(25660, 4195072, F256, 2, 16) (dual of [(4195072, 2), 8390084, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25614, 771, F256, 2, 8) (dual of [(771, 2), 1528, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 2, 2) (dual of [(257, 2), 512, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;512,256) [i]
- linear OOA(2564, 257, F256, 2, 4) (dual of [(257, 2), 510, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;510,256) [i]
- linear OOA(2568, 257, F256, 2, 8) (dual of [(257, 2), 506, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;506,256) [i]
- linear OOA(2562, 257, F256, 2, 2) (dual of [(257, 2), 512, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(25646, 4194301, F256, 2, 16) (dual of [(4194301, 2), 8388556, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25646, 8388602, F256, 16) (dual of [8388602, 8388556, 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 2-folding [i] based on linear OA(25646, 8388602, F256, 16) (dual of [8388602, 8388556, 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, 2097536, F256, 4, 16) (dual of [(2097536, 4), 8390084, 17]-NRT-code) | [i] | OOA Folding | |