Information on Result #1567729
Linear OOA(25665, 3005321, F256, 3, 22) (dual of [(3005321, 3), 9015898, 23]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25665, 3005321, F256, 2, 22) (dual of [(3005321, 2), 6010577, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25665, 4194301, F256, 2, 22) (dual of [(4194301, 2), 8388537, 23]-NRT-code), using
- 2561 times duplication [i] based on linear OOA(25664, 4194301, F256, 2, 22) (dual of [(4194301, 2), 8388538, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25664, 8388602, F256, 22) (dual of [8388602, 8388538, 23]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(25664, large, F256, 22) (dual of [large, large−64, 23]-code), using
- OOA 2-folding [i] based on linear OA(25664, 8388602, F256, 22) (dual of [8388602, 8388538, 23]-code), using
- 2561 times duplication [i] based on linear OOA(25664, 4194301, F256, 2, 22) (dual of [(4194301, 2), 8388538, 23]-NRT-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 | OOA(12875, 3005321, S128, 3, 22) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25665, 1502660, F256, 6, 22) (dual of [(1502660, 6), 9015895, 23]-NRT-code) | [i] | OOA Folding | |