Information on Result #1198700
Digital (71, 109, 1036)-net over F27, using net defined by OOA based on linear OOA(27109, 1036, F27, 38, 38) (dual of [(1036, 38), 39259, 39]-NRT-code), using
- OA 19-folding and stacking [i] based on linear OA(27109, 19684, F27, 38) (dual of [19684, 19575, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(27109, 19686, F27, 38) (dual of [19686, 19577, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(27109, 19683, F27, 38) (dual of [19683, 19574, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(27106, 19683, F27, 37) (dual of [19683, 19577, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(37) ⊂ Ce(36) [i] based on
- discarding factors / shortening the dual code based on linear OA(27109, 19686, F27, 38) (dual of [19686, 19577, 39]-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 (72, 110, 1036)-net over F27 | [i] | Net Duplication | |