Information on Result #1118686
Linear OOA(25634, 1677978, F256, 5, 10) (dual of [(1677978, 5), 8389856, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2566, 258, F256, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(2566, 258, F256, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 6, 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, 6, 258)-net over F256, using
- appending kth column [i] based on linear OOA(2566, 258, F256, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
- linear OOA(25628, 1677720, F256, 5, 10) (dual of [(1677720, 5), 8388572, 11]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25628, 8388600, F256, 10) (dual of [8388600, 8388572, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(25628, large, F256, 10) (dual of [large, large−28, 11]-code), using
- OOA 5-folding [i] based on linear OA(25628, 8388600, F256, 10) (dual of [8388600, 8388572, 11]-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(25634, 1677977, F256, 6, 10) (dual of [(1677977, 6), 10067828, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(25634, 1677977, F256, 15, 10) (dual of [(1677977, 15), 25169621, 11]-NRT-code) | [i] | ||