Information on Result #1195802
Digital (10, 14, 195317)-net over F25, using net defined by OOA based on linear OOA(2514, 195317, F25, 4, 4) (dual of [(195317, 4), 781254, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(2514, 390634, F25, 4) (dual of [390634, 390620, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- 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(255, 390625, F25, 2) (dual of [390625, 390620, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(1) [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 (42, 50, 2292467)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (46, 55, 2292467)-net over F25 | [i] | ||
| 3 | Digital (63, 72, 6784758)-net over F25 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 4 | Digital (56, 64, 6784758)-net over F25 | [i] | ||
| 5 | Digital (17, 21, 4882925)-net over F25 | [i] | ||
| 6 | Digital (88, 101, 2991517)-net over F25 | [i] | ||
| 7 | Digital (84, 96, 2991517)-net over F25 | [i] | ||