Information on Result #1188198
Digital (14, 21, 209)-net over F5, using net defined by OOA based on linear OOA(521, 209, F5, 7, 7) (dual of [(209, 7), 1442, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(521, 628, F5, 7) (dual of [628, 607, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(521, 629, F5, 7) (dual of [629, 608, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(521, 625, F5, 7) (dual of [625, 604, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(517, 625, F5, 6) (dual of [625, 608, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(521, 629, F5, 7) (dual of [629, 608, 8]-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 (17, 24, 215)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (44, 59, 264)-net over F5 | [i] | ||
| 3 | Digital (126, 141, 1198580)-net over F5 | [i] | ||