Information on Result #1145029
Linear OOA(25644, 1398358, F256, 6, 13) (dual of [(1398358, 6), 8390104, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2567, 258, F256, 6, 6) (dual of [(258, 6), 1541, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(2567, 258, F256, 5, 6) (dual of [(258, 5), 1283, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 7, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 7, 258)-net over F256, using
- appending kth column [i] based on linear OOA(2567, 258, F256, 5, 6) (dual of [(258, 5), 1283, 7]-NRT-code), using
- linear OOA(25637, 1398100, F256, 6, 13) (dual of [(1398100, 6), 8388563, 14]-NRT-code), using
- OOA 6-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- OOA 6-folding [i] based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-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(25644, 1398357, F256, 18, 13) (dual of [(1398357, 18), 25170382, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |