Information on Result #1842123
(33, 59, 5041)-net in base 128, using net defined by OOA based on OOA(12859, 5041, S128, 26, 26), using
- OA 13-folding and stacking [i] based on OA(12859, 65533, S128, 26), using
- discarding factors based on OA(12859, 65538, S128, 26), using
- discarding parts of the base [i] based on linear OA(25651, 65538, F256, 26) (dual of [65538, 65487, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(25649, 65536, F256, 25) (dual of [65536, 65487, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- discarding parts of the base [i] based on linear OA(25651, 65538, F256, 26) (dual of [65538, 65487, 27]-code), using
- discarding factors based on OA(12859, 65538, S128, 26), 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 | (46, 72, 5170)-net in base 128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (47, 73, 5191)-net in base 128 | [i] | ||
| 3 | (48, 74, 5298)-net in base 128 | [i] | ||
| 4 | (49, 75, 5299)-net in base 128 | [i] | ||