Information on Result #1188750
Digital (38, 51, 521)-net over F5, using net defined by OOA based on linear OOA(551, 521, F5, 13, 13) (dual of [(521, 13), 6722, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(551, 3127, F5, 13) (dual of [3127, 3076, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(551, 3130, F5, 13) (dual of [3130, 3079, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- 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(546, 3125, F5, 12) (dual of [3125, 3079, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(551, 3130, F5, 13) (dual of [3130, 3079, 14]-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 (44, 57, 527)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (45, 58, 531)-net over F5 | [i] | ||
| 3 | Digital (46, 59, 535)-net over F5 | [i] | ||