Information on Result #2522989
Linear OOA(25656, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388546, 20]-NRT-code), using 2561 times duplication based on linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-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(25656, 3579378, F256, 3, 19) (dual of [(3579378, 3), 10738078, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25656, 3579378, F256, 4, 19) (dual of [(3579378, 4), 14317456, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(25656, 3579378, F256, 5, 19) (dual of [(3579378, 5), 17896834, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(25656, 3579378, F256, 6, 19) (dual of [(3579378, 6), 21476212, 20]-NRT-code) | [i] | ||
| 5 | Digital (37, 56, 3579378)-net over F256 | [i] | ||