Information on Result #1195796
Digital (7, 11, 7816)-net over F25, using net defined by OOA based on linear OOA(2511, 7816, F25, 4, 4) (dual of [(7816, 4), 31253, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(2511, 15632, F25, 4) (dual of [15632, 15621, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(2510, 15625, F25, 4) (dual of [15625, 15615, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(254, 15625, F25, 2) (dual of [15625, 15621, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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 (39, 47, 2104966)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (43, 52, 2104966)-net over F25 | [i] | ||
| 3 | Digital (91, 104, 2811832)-net over F25 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 4 | Digital (87, 99, 2811832)-net over F25 | [i] | ||
| 5 | Digital (94, 108, 2404558)-net over F25 | [i] | ||
| 6 | Digital (85, 98, 2804016)-net over F25 | [i] | ||
| 7 | Digital (81, 93, 2804016)-net over F25 | [i] | ||