Information on Result #1567761
Linear OOA(25667, 7213399, F256, 3, 21) (dual of [(7213399, 3), 21640130, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25667, 7213399, F256, 21) (dual of [7213399, 7213332, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(25667, large, F256, 21) (dual of [large, large−67, 22]-code), using
- strength reduction [i] based on linear OA(25667, large, F256, 23) (dual of [large, large−67, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- strength reduction [i] based on linear OA(25667, large, F256, 23) (dual of [large, large−67, 24]-code), using
Mode: 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(25667, 3606699, F256, 5, 21) (dual of [(3606699, 5), 18033428, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25667, 3606699, F256, 6, 21) (dual of [(3606699, 6), 21640127, 22]-NRT-code) | [i] | ||