Information on Result #1841955
(37, 53, 1048575)-net in base 128, using net defined by OOA based on OOA(12853, 1048575, S128, 16, 16), using
- OA 8-folding and stacking [i] based on OA(12853, 8388600, S128, 16), using
- discarding factors based on OA(12853, large, S128, 16), using
- discarding parts of the base [i] 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 parts of the base [i] based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- discarding factors based on OA(12853, large, S128, 16), 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 | (38, 54, 1048575)-net in base 128 | [i] | Net Duplication | |
| 2 | (45, 61, 1048704)-net in base 128 | [i] | (u, u+v)-Construction for Nets | |
| 3 | (46, 62, 1048725)-net in base 128 | [i] | ||
| 4 | (47, 63, 1048832)-net in base 128 | [i] | ||
| 5 | (50, 66, 1048854)-net in base 128 | [i] | ||
| 6 | (51, 67, 1049088)-net in base 128 | [i] | ||
| 7 | (52, 68, 1052671)-net in base 128 | [i] | ||
| 8 | (53, 69, 1052672)-net in base 128 | [i] | ||
| 9 | (55, 71, 1064959)-net in base 128 | [i] | ||
| 10 | (57, 73, 1065087)-net in base 128 | [i] | ||
| 11 | (58, 74, 1065108)-net in base 128 | [i] | ||
| 12 | (59, 75, 1572863)-net in base 128 | [i] | ||
| 13 | (60, 76, 1572864)-net in base 128 | [i] | ||
| 14 | (61, 77, 1572865)-net in base 128 | [i] | ||