Information on Result #2219177
Linear OA(25637, large, F256, 12) (dual of [large, large−37, 13]-code), using strength reduction based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(25637, 8300415, F256, 2, 12) (dual of [(8300415, 2), 16600793, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25637, 8300415, F256, 3, 12) (dual of [(8300415, 3), 24901208, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(25637, 8300415, F256, 4, 12) (dual of [(8300415, 4), 33201623, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(25637, 8300415, F256, 5, 12) (dual of [(8300415, 5), 41502038, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(25637, 8300415, F256, 6, 12) (dual of [(8300415, 6), 49802453, 13]-NRT-code) | [i] | ||
| 6 | Digital (25, 37, 8300415)-net over F256 | [i] | ||