Information on Result #2219223
Linear OA(25649, large, F256, 16) (dual of [large, large−49, 17]-code), using strength reduction based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(25649, 4282917, F256, 2, 16) (dual of [(4282917, 2), 8565785, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25649, 4282917, F256, 3, 16) (dual of [(4282917, 3), 12848702, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(25649, 4282917, F256, 4, 16) (dual of [(4282917, 4), 17131619, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(25649, 4282917, F256, 5, 16) (dual of [(4282917, 5), 21414536, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(25649, 4282917, F256, 6, 16) (dual of [(4282917, 6), 25697453, 17]-NRT-code) | [i] | ||
| 6 | Digital (33, 49, 4282917)-net over F256 | [i] | ||