Information on Result #1846656
(40, 56, 4282917)-net in base 128, using base change based on digital (33, 49, 4282917)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25649, 4282917, F256, 16) (dual of [4282917, 4282868, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 16) (dual of [large, large−49, 17]-code), using
- strength reduction [i] 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]
- strength reduction [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 16) (dual of [large, large−49, 17]-code), using
Mode: Arbitrary.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(12856, 4282917, S128, 2, 16) | [i] | Extracting Embedded OOA | |
| 2 | OOA(12856, 4282917, S128, 3, 16) | [i] | ||
| 3 | OOA(12856, 4282917, S128, 4, 16) | [i] | ||