Information on Result #1197496
Digital (18, 28, 3937)-net over F27, using net defined by OOA based on linear OOA(2728, 3937, F27, 10, 10) (dual of [(3937, 10), 39342, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2728, 19685, F27, 10) (dual of [19685, 19657, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2728, 19686, F27, 10) (dual of [19686, 19658, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(2728, 19683, F27, 10) (dual of [19683, 19655, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2725, 19683, F27, 9) (dual of [19683, 19658, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(2728, 19686, F27, 10) (dual of [19686, 19658, 11]-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 (23, 33, 3965)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (24, 34, 3975)-net over F27 | [i] | ||
| 3 | Digital (25, 35, 4288)-net over F27 | [i] | ||