Information on Result #1567775
Linear OOA(25668, 2883743, F256, 3, 23) (dual of [(2883743, 3), 8651161, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25668, 2883743, F256, 2, 23) (dual of [(2883743, 2), 5767418, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 4194301, F256, 2, 23) (dual of [(4194301, 2), 8388534, 24]-NRT-code), using
- 2561 times duplication [i] based on linear OOA(25667, 4194301, F256, 2, 23) (dual of [(4194301, 2), 8388535, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25667, 8388602, F256, 23) (dual of [8388602, 8388535, 24]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(25667, large, F256, 23) (dual of [large, large−67, 24]-code), using
- OOA 2-folding [i] based on linear OA(25667, 8388602, F256, 23) (dual of [8388602, 8388535, 24]-code), using
- 2561 times duplication [i] based on linear OOA(25667, 4194301, F256, 2, 23) (dual of [(4194301, 2), 8388535, 24]-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(12878, 2883743, S128, 3, 23) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25668, 1441871, F256, 6, 23) (dual of [(1441871, 6), 8651158, 24]-NRT-code) | [i] | OOA Folding | |