Information on Result #1195838
Digital (12, 17, 195314)-net over F25, using net defined by OOA based on linear OOA(2517, 195314, F25, 5, 5) (dual of [(195314, 5), 976553, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(2517, 390629, F25, 5) (dual of [390629, 390612, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(2517, 390625, F25, 5) (dual of [390625, 390608, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(2513, 390625, F25, 4) (dual of [390625, 390612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
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 (14, 19, 195340)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (15, 20, 195965)-net over F25 | [i] | ||
| 3 | Digital (53, 63, 1873034)-net over F25 | [i] | ||
| 4 | Digital (57, 68, 1873034)-net over F25 | [i] | ||
| 5 | Digital (80, 91, 6365256)-net over F25 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 6 | Digital (75, 85, 6365256)-net over F25 | [i] | ||
| 7 | Digital (20, 25, 4882850)-net over F25 | [i] | ||