Information on Result #1824837
(48, 64, 1048834)-net in base 128, using base change based on digital (40, 56, 1048834)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (2, 10, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (30, 46, 1048575)-net over F256, using
- net defined by OOA [i] based on linear OOA(25646, 1048575, F256, 16, 16) (dual of [(1048575, 16), 16777154, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(25646, 8388600, F256, 16) (dual of [8388600, 8388554, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(25646, 8388600, F256, 16) (dual of [8388600, 8388554, 17]-code), using
- net defined by OOA [i] based on linear OOA(25646, 1048575, F256, 16, 16) (dual of [(1048575, 16), 16777154, 17]-NRT-code), using
- digital (2, 10, 259)-net over F256, using
Mode: Constructive.
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 | (49, 65, 1048834)-net in base 128 | [i] | Net Duplication | |