Information on Result #1189964
Digital (41, 50, 205887)-net over F7, using net defined by OOA based on linear OOA(750, 205887, F7, 9, 9) (dual of [(205887, 9), 1852933, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(750, 823549, F7, 9) (dual of [823549, 823499, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(750, 823550, F7, 9) (dual of [823550, 823500, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(750, 823543, F7, 9) (dual of [823543, 823493, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(70, 7, F7, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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(750, 823550, F7, 9) (dual of [823550, 823500, 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 (42, 51, 205887)-net over F7 | [i] | Net Duplication | |
| 2 | Digital (45, 54, 205895)-net over F7 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (46, 55, 205900)-net over F7 | [i] | ||
| 4 | Digital (47, 56, 205908)-net over F7 | [i] | ||