Information on Result #1842101
(30, 54, 5461)-net in base 128, using net defined by OOA based on OOA(12854, 5461, S128, 24, 24), using
- OA 12-folding and stacking [i] based on OA(12854, 65532, S128, 24), using
- discarding factors based on OA(12854, 65538, S128, 24), using
- discarding parts of the base [i] based on linear OA(25647, 65538, F256, 24) (dual of [65538, 65491, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(25645, 65536, F256, 23) (dual of [65536, 65491, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(23) ⊂ Ce(22) [i] based on
- discarding parts of the base [i] based on linear OA(25647, 65538, F256, 24) (dual of [65538, 65491, 25]-code), using
- discarding factors based on OA(12854, 65538, S128, 24), 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 | (42, 66, 5590)-net in base 128 | [i] | (u, u+v)-Construction for Nets | |
| 2 | (43, 67, 5611)-net in base 128 | [i] | ||
| 3 | (44, 68, 5718)-net in base 128 | [i] | ||
| 4 | (45, 69, 5719)-net in base 128 | [i] | ||