Information on Result #1200036
Digital (81, 107, 80662)-net over F32, using net defined by OOA based on linear OOA(32107, 80662, F32, 26, 26) (dual of [(80662, 26), 2097105, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(32107, 1048606, F32, 26) (dual of [1048606, 1048499, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(32107, 1048609, F32, 26) (dual of [1048609, 1048502, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- linear OA(32101, 1048576, F32, 26) (dual of [1048576, 1048475, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3273, 1048576, F32, 19) (dual of [1048576, 1048503, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(326, 33, F32, 6) (dual of [33, 27, 7]-code or 33-arc in PG(5,32)), using
- extended Reed–Solomon code RSe(27,32) [i]
- construction X applied to Ce(25) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(32107, 1048609, F32, 26) (dual of [1048609, 1048502, 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 (82, 108, 80662)-net over F32 | [i] | Net Duplication | |
| 2 | Digital (83, 109, 80662)-net over F32 | [i] | ||