Information on Result #1197700
Digital (24, 37, 3280)-net over F27, using net defined by OOA based on linear OOA(2737, 3280, F27, 13, 13) (dual of [(3280, 13), 42603, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2737, 19681, F27, 13) (dual of [19681, 19644, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2737, 19683, F27, 13) (dual of [19683, 19646, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2737, 19683, F27, 13) (dual of [19683, 19646, 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 (30, 43, 3308)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (31, 44, 3318)-net over F27 | [i] | ||
| 3 | Digital (32, 45, 3328)-net over F27 | [i] | ||
| 4 | Digital (33, 46, 3336)-net over F27 | [i] | ||
| 5 | Digital (34, 47, 3346)-net over F27 | [i] | ||
| 6 | Digital (35, 48, 3524)-net over F27 | [i] | ||
| 7 | (32, 45, 3362)-net in base 27 | [i] | ||
| 8 | (34, 47, 3380)-net in base 27 | [i] | ||