Information on Result #2219198
Linear OA(25643, large, F256, 14) (dual of [large, large−43, 15]-code), using strength reduction based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(25643, 5567506, F256, 2, 14) (dual of [(5567506, 2), 11134969, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25643, 5567506, F256, 3, 14) (dual of [(5567506, 3), 16702475, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(25643, 5567506, F256, 4, 14) (dual of [(5567506, 4), 22269981, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(25643, 5567506, F256, 5, 14) (dual of [(5567506, 5), 27837487, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(25643, 5567506, F256, 6, 14) (dual of [(5567506, 6), 33404993, 15]-NRT-code) | [i] | ||
| 6 | Digital (29, 43, 5567506)-net over F256 | [i] | ||