Information on Result #1188862
Digital (42, 56, 447)-net over F5, using net defined by OOA based on linear OOA(556, 447, F5, 14, 14) (dual of [(447, 14), 6202, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(556, 3129, F5, 14) (dual of [3129, 3073, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(556, 3130, F5, 14) (dual of [3130, 3074, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(551, 3125, F5, 13) (dual of [3125, 3074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 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
- discarding factors / shortening the dual code based on linear OA(556, 3130, F5, 14) (dual of [3130, 3074, 15]-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 (49, 63, 453)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (50, 64, 457)-net over F5 | [i] | ||
| 3 | Digital (51, 65, 459)-net over F5 | [i] | ||