Information on Result #1019979
Linear OOA(25643, 2926762, F256, 3, 11) (dual of [(2926762, 3), 8780243, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25612, 130561, F256, 3, 5) (dual of [(130561, 3), 391671, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(25612, 261123, F256, 5) (dual of [261123, 261111, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(25612, 261124, F256, 5) (dual of [261124, 261112, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(2561, 65281, F256, 1) (dual of [65281, 65280, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(2561, 65281, F256, 1) (dual of [65281, 65280, 2]-code) (see above)
- linear OA(2563, 65281, F256, 2) (dual of [65281, 65278, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- Hamming code H(3,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 65793, F256, 2) (dual of [65793, 65790, 3]-code), using
- linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- linear OA(2561, 65281, F256, 1) (dual of [65281, 65280, 2]-code), using
- generalized (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(25612, 261124, F256, 5) (dual of [261124, 261112, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(25612, 261123, F256, 5) (dual of [261123, 261111, 6]-code), using
- linear OOA(25631, 2796201, F256, 3, 11) (dual of [(2796201, 3), 8388572, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- OOA 3-folding [i] based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-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(25656, 5853524, F256, 3, 11) (dual of [(5853524, 3), 17560516, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |