Information on Result #1188874
Digital (53, 67, 2233)-net over F5, using net defined by OOA based on linear OOA(567, 2233, F5, 14, 14) (dual of [(2233, 14), 31195, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(567, 15631, F5, 14) (dual of [15631, 15564, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(561, 15625, F5, 13) (dual of [15625, 15564, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [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 (60, 74, 2239)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (61, 75, 2243)-net over F5 | [i] | ||
| 3 | Digital (62, 76, 2245)-net over F5 | [i] | ||
| 4 | Digital (63, 77, 2258)-net over F5 | [i] | ||