Information on Result #1842079
(28, 50, 5958)-net in base 128, using net defined by OOA based on OOA(12850, 5958, S128, 22, 22), using
- OA 11-folding and stacking [i] based on OA(12850, 65538, S128, 22), using
- discarding parts of the base [i] based on linear OA(25643, 65538, F256, 22) (dual of [65538, 65495, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [i] based on
- discarding parts of the base [i] based on linear OA(25643, 65538, F256, 22) (dual of [65538, 65495, 23]-code), 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 | (29, 51, 5958)-net in base 128 | [i] | Net Duplication | |
| 2 | (39, 61, 6087)-net in base 128 | [i] | (u, u+v)-Construction for Nets | |
| 3 | (40, 62, 6108)-net in base 128 | [i] | ||
| 4 | (41, 63, 6215)-net in base 128 | [i] | ||