Information on Result #1188364
Digital (20, 29, 157)-net over F5, using net defined by OOA based on linear OOA(529, 157, F5, 9, 9) (dual of [(157, 9), 1384, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(529, 629, F5, 9) (dual of [629, 600, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(529, 625, F5, 9) (dual of [625, 596, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(525, 625, F5, 8) (dual of [625, 600, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 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
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 (65, 83, 365)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (66, 85, 365)-net over F5 | [i] | ||
| 3 | Digital (68, 87, 409)-net over F5 | [i] | ||