Information on Result #2292401
Linear OA(25663, large, F256, 20) (dual of [large, large−63, 21]-code), using 5 times code embedding in larger space based on linear OA(25658, large, F256, 20) (dual of [large, large−58, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(25663, 5843029, F256, 2, 20) (dual of [(5843029, 2), 11685995, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25663, 5843029, F256, 3, 20) (dual of [(5843029, 3), 17529024, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(25663, 5843029, F256, 4, 20) (dual of [(5843029, 4), 23372053, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(25663, 5843029, F256, 5, 20) (dual of [(5843029, 5), 29215082, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(25663, 5843029, F256, 6, 20) (dual of [(5843029, 6), 35058111, 21]-NRT-code) | [i] | ||
| 6 | Digital (43, 63, 5843029)-net over F256 | [i] | ||