Information on Result #1188780
Digital (58, 71, 13021)-net over F5, using net defined by OOA based on linear OOA(571, 13021, F5, 13, 13) (dual of [(13021, 13), 169202, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(571, 78127, F5, 13) (dual of [78127, 78056, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(571, 78132, F5, 13) (dual of [78132, 78061, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(12) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(571, 78132, F5, 13) (dual of [78132, 78061, 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 (64, 77, 13027)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (65, 78, 13031)-net over F5 | [i] | ||
| 3 | Digital (66, 79, 13035)-net over F5 | [i] | ||
| 4 | Digital (67, 80, 13048)-net over F5 | [i] | ||