Information on Result #2292379
Linear OA(25657, large, F256, 18) (dual of [large, large−57, 19]-code), using 5 times code embedding in larger space based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(25657, 7158763, F256, 2, 18) (dual of [(7158763, 2), 14317469, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25657, 7158763, F256, 3, 18) (dual of [(7158763, 3), 21476232, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(25657, 7158763, F256, 4, 18) (dual of [(7158763, 4), 28634995, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(25657, 7158763, F256, 5, 18) (dual of [(7158763, 5), 35793758, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(25657, 7158763, F256, 6, 18) (dual of [(7158763, 6), 42952521, 19]-NRT-code) | [i] | ||
| 6 | Digital (39, 57, 7158763)-net over F256 | [i] | ||