Information on Result #1567716
Linear OOA(25664, 7951138, F256, 3, 20) (dual of [(7951138, 3), 23853350, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25664, 7951138, F256, 20) (dual of [7951138, 7951074, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(25664, large, F256, 20) (dual of [large, large−64, 21]-code), using
- strength reduction [i] based on linear OA(25664, large, F256, 22) (dual of [large, large−64, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- strength reduction [i] based on linear OA(25664, large, F256, 22) (dual of [large, large−64, 23]-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(25664, 3975569, F256, 5, 20) (dual of [(3975569, 5), 19877781, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25664, 3975569, F256, 6, 20) (dual of [(3975569, 6), 23853350, 21]-NRT-code) | [i] | ||