Information on Result #1188394
Digital (41, 50, 19532)-net over F5, using net defined by OOA based on linear OOA(550, 19532, F5, 9, 9) (dual of [(19532, 9), 175738, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(550, 78129, F5, 9) (dual of [78129, 78079, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(550, 78132, F5, 9) (dual of [78132, 78082, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(543, 78125, F5, 8) (dual of [78125, 78082, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(50, 7, F5, 0) (dual of [7, 7, 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(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(550, 78132, F5, 9) (dual of [78132, 78082, 10]-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 (45, 54, 19538)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (46, 55, 19544)-net over F5 | [i] | ||
| 3 | Digital (47, 56, 19559)-net over F5 | [i] | ||