Information on Result #1197308
Digital (14, 21, 6564)-net over F27, using net defined by OOA based on linear OOA(2721, 6564, F27, 7, 7) (dual of [(6564, 7), 45927, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2721, 19693, F27, 7) (dual of [19693, 19672, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2721, 19694, F27, 7) (dual of [19694, 19673, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- linear OA(2719, 19683, F27, 7) (dual of [19683, 19664, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(2710, 19683, F27, 4) (dual of [19683, 19673, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(272, 11, F27, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to Ce(6) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(2721, 19694, F27, 7) (dual of [19694, 19673, 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 (73, 87, 1204935)-net over F27 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (77, 92, 1204935)-net over F27 | [i] | ||