Information on Result #1194834
Digital (24, 31, 349526)-net over F16, using net defined by OOA based on linear OOA(1631, 349526, F16, 7, 7) (dual of [(349526, 7), 2446651, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1631, 1048579, F16, 7) (dual of [1048579, 1048548, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(1631, 1048581, F16, 7) (dual of [1048581, 1048550, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(1631, 1048576, F16, 7) (dual of [1048576, 1048545, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(1626, 1048576, F16, 6) (dual of [1048576, 1048550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(1631, 1048581, F16, 7) (dual of [1048581, 1048550, 8]-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 (27, 34, 349543)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (28, 35, 349783)-net over F16 | [i] | ||
| 3 | Digital (29, 36, 350155)-net over F16 | [i] | ||
| 4 | Digital (97, 111, 2746268)-net over F16 | [i] | ||
| 5 | Digital (102, 117, 2746268)-net over F16 | [i] | ||