Information on Result #1188384
Digital (34, 43, 3907)-net over F5, using net defined by OOA based on linear OOA(543, 3907, F5, 9, 9) (dual of [(3907, 9), 35120, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(543, 15629, F5, 9) (dual of [15629, 15586, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(543, 15631, F5, 9) (dual of [15631, 15588, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(543, 15625, F5, 9) (dual of [15625, 15582, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(537, 15625, F5, 8) (dual of [15625, 15588, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(543, 15631, F5, 9) (dual of [15631, 15588, 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 (38, 47, 3913)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (39, 48, 3919)-net over F5 | [i] | ||
| 3 | Digital (40, 49, 3934)-net over F5 | [i] | ||