Information on Result #1119676
Linear OOA(25657, 13878, F256, 5, 20) (dual of [(13878, 5), 69333, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25618, 771, F256, 5, 10) (dual of [(771, 5), 3837, 11]-NRT-code), using
- generalized (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(2565, 257, F256, 5, 5) (dual of [(257, 5), 1280, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1280,256) [i]
- linear OOA(25610, 257, F256, 5, 10) (dual of [(257, 5), 1275, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1275,256) [i]
- linear OOA(2563, 257, F256, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(25639, 13107, F256, 5, 20) (dual of [(13107, 5), 65496, 21]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25639, 65535, F256, 20) (dual of [65535, 65496, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- OOA 5-folding [i] based on linear OA(25639, 65535, F256, 20) (dual of [65535, 65496, 21]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(25657, 6938, F256, 25, 20) (dual of [(6938, 25), 173393, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |