Information on Result #1200012
Digital (51, 77, 2521)-net over F32, using net defined by OOA based on linear OOA(3277, 2521, F32, 26, 26) (dual of [(2521, 26), 65469, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(3277, 32773, F32, 26) (dual of [32773, 32696, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3277, 32775, F32, 26) (dual of [32775, 32698, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(3276, 32768, F32, 26) (dual of [32768, 32692, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(3277, 32775, F32, 26) (dual of [32775, 32698, 27]-code), using
Mode: Constructive and linear.
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 | Digital (52, 78, 2521)-net over F32 | [i] | Net Duplication | |
| 2 | Digital (65, 91, 2565)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (67, 93, 2585)-net over F32 | [i] | ||
| 4 | Digital (69, 95, 2597)-net over F32 | [i] | ||
| 5 | Digital (71, 97, 2619)-net over F32 | [i] | ||