Information on Result #1197362
Digital (22, 30, 132862)-net over F27, using net defined by OOA based on linear OOA(2730, 132862, F27, 8, 8) (dual of [(132862, 8), 1062866, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(2730, 531448, F27, 8) (dual of [531448, 531418, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(2730, 531450, F27, 8) (dual of [531450, 531420, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(2729, 531441, F27, 8) (dual of [531441, 531412, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2721, 531441, F27, 6) (dual of [531441, 531420, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(271, 9, F27, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(2730, 531450, F27, 8) (dual of [531450, 531420, 9]-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 (90, 106, 1181437)-net over F27 | [i] | (u, u+v)-Construction for Nets | |