Information on Result #1198786
Digital (16, 22, 349528)-net over F32, using net defined by OOA based on linear OOA(3222, 349528, F32, 6, 6) (dual of [(349528, 6), 2097146, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(3222, 1048584, F32, 6) (dual of [1048584, 1048562, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(3222, 1048585, F32, 6) (dual of [1048585, 1048563, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(3221, 1048576, F32, 6) (dual of [1048576, 1048555, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(3213, 1048576, F32, 4) (dual of [1048576, 1048563, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 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(5) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(3222, 1048585, F32, 6) (dual of [1048585, 1048563, 7]-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 (66, 78, 1747628)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (70, 83, 1747628)-net over F32 | [i] | ||
| 3 | (64, 76, 1747628)-net in base 32 | [i] | ||
| 4 | (68, 81, 1747628)-net in base 32 | [i] | ||